Papers and Publications




Books, Chapters in Books, and Special Invited Articles

Journal Articles by Year
1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989,
1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999,
2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009,
2010, 2011, 2012, 2013, 2014


Books

  1. S. Torquato, Random Heterogeneous Materials: Microstructure and Macroscopic Properties, Springer-Verlag, New York, 2002.

Chapters in Books

  1. S. Torquato, Diffusion-Absorption and Flow Processes in Disordered Porous Media, in Heterogeneous Media: Topics in Mathematical Modelling Methods, Edited by K. Markov and L. Preziosi, Birkhauser, Boston (2000).
  2. S. Torquato, Modeling of Physical Properties of Composite Materials, in Research Trends in Solid Mechanics, Edited by G. J. Dvorak, Elsevier Science Ltd., Oxford, United Kingdom (2000).
  3. S. Torquato, Theory of Random Heterogeneous Materials, in Handbook of Materials Modeling, Edited by Sidney Yip, Springer-Verlag, New York (2005).
  4. S. Torquato, Microstructure Optimization, in Handbook of Materials Modeling, Edited by Sidney Yip, Springer-Verlag, New York (2005).

Special Invited Articles

  1. S. Torquato, Glass Transition: Hard Knock for Thermodynamics, Nature, 405, 521 (2000).
  2. M. E. Kassner, S. Nemat-Nasser, Z. Suo, G. Bao, J. C. Barber, K. Brinson, H. Espinosa, S. Granick, P. Gumbsch, K-S. Kim, W. Knauss, L. Kubin, J. Langer, B. C. Larson, L. Mahadevan, A. Majumdar, S. Torquato, and F. van Swol, New Directions in Mechanics, Mechanics of Materials, 37, 231 (2004).

Journal Articles
    1981

  1. S. Torquato and G. Stell, Latent Heat of Vaporization of a Fluid, Journal of Physical Chemistry, 85, 3029 (1981).
  2. 1982

  3. S. Torquato and G. Stell, An Equation for the Latent Heat of Vaporization, Industrial and Engineering Chemistry Fundamentals, 21, 202 (1982).
  4. S. Torquato and G. Stell, Microstructure of Two-Phase Random Media. I. The n-Point Probability Functions, Journal of Chemical Physics, 77, 2071 (1982).
  5. 1983

  6. S. Torquato and G. Stell, Microstructure of Two-Phase Random Media. II. The Mayer-Montroll and Kirkwood-Salsburg Hierarchies, Journal of Chemical Physics, 78, 3262 (1983).
  7. S. Torquato and G. Stell, Microstructure of Two-Phase Random Media. III. The n-Point Matrix Probability Functions for Fully Penetrable Spheres, Journal of Chemical Physics, 79, 1505 (1983).
  8. 1984

  9. S. Torquato and G. Stell, Microstructure of Two-Phase Random Media. IV. Expected Surface Area of a Dispersion of Penetrable Spheres and Its Characteristic Function, Journal of Chemical Physics, 80, 878 (1984).
  10. S. Torquato and P. Smith, Latent Heat of Vaporization of a Widely Diverse Class of Fluids, Journal of Heat Transfer, 106, 252 (1984).
  11. S. Torquato, Bulk Properties of Two-Phase Media. I. Cluster Expansion for the Dielectric Constant of Dispersions of Fully Penetrable Spheres, Journal of Chemical Physics, 81, 5079 (1984).
  12. 1985

  13. S. Torquato and F. Lado Characterization of the Microstructure of Distributions of Rigid Rods and Disks in a Matrix, Journal of Physics A: Mathematics and General, 18, 141 (1985).
  14. S. Torquato and G. Stell, Microstructure of Two-Phase Random Media, V. The n-Point Matrix Probability Functions for Impenetrable Spheres, Journal of Chemical Physics, 82, 980 (1985).
  15. S. Torquato and G. Stell, Bounds on the Effective Thermal Conductivity of a Dispersion of Fully Penetrable Spheres, Letters in Applied and Engineering Science, 23, 375 (1985).
  16. S. Torquato, G. Stell and J. D. Beasley, Third-Order Bounds on the Effective Bulk and Shear Moduli of a Dispersion of Fully Penetrable Spheres, Letters in Applied and Engineering Science, 23, 385 (1985).
  17. J. M. Haile, C. Massobrio, and S. Torquato, Two-Point Probability Function for Two-Phase Random Media: Computer-Simulation Results for Impenetrable Spheres, Journal of Chemical Physics, 83, 4075 (1985).
  18. S. Torquato, Bulk Properties of Two-Phase Disordered Media. II. Effective Conductivity of a Dilute Dispersion of Penetrable Spheres, Journal of Chemical Physics, 83, 4776 (1985).
  19. S. Torquato, Effective Electrical Conductivity of Two-Phase Disordered Composite Media, Journal of Applied Physics, 58, 3790 (1985).
  20. 1986

  21. S. Torquato and J. D. Beasley, Effective Properties of Fiber-Reinforced Materials. I. Bounds on the Thermal Conductivity of Dispersions of Fully Penetrable Cylinders, International Journal of Engineering Science, 24, 415 (1986).
  22. S. Torquato and J. D. Beasley, Effective Properties of Fiber-Reinforced Materials. II. Bounds on the Bulk and Shear Moduli of Dispersions of Fully Penetrable Cylinders, International Journal of Engineering Science, 24, 435 (1986).
  23. F. Lado and S. Torquato, Effective Properties of Two-Phase Disordered Composite Media. I. Simplification of Bounds on the Conductivity and Bulk Modulus of Dispersions of Impenetrable Spheres, Physical Review B, 33, 3370 (1986).
  24. S. Torquato and F. Lado, Effective Properties of Two-Phase Disordered Composite Media: II. Evaluation of Bounds on the Conductivity and Bulk Modulus of Dispersions of Impenetrable Spheres, Physical Review B, 33, 6428 (1986).
  25. S. Torquato, Bulk Properties of Two-Phase Disordered Media. III. New Bounds on the Effective Conductivity of Dispersions of Penetrable Spheres, Journal of Chemical Physics, 84, 6345 (1986).
  26. S. Torquato, Effective Transport Properties of Multiphase Media from the Microstructure, Advances in Multiphase Flow and Related Problems, Edited by G. Papanicolaou, Society for Industrial and Applied Mathematics, 238 (1986).
  27. S. Torquato, Interfacial Surface Statistics Arising in Diffusion and Flow Problems in Porous Media, Journal of Chemical Physics, 85, 4622 (1986).
  28. J. D. Beasley and S. Torquato, Bounds on the Conductivity of Suspensions of Impenetrable Spheres, Journal of Applied Physics, 60, 3576 (1986).
  29. S. Torquato, Two-Point Distribution Function for a Dispersion of Impenetrable Spheres in a Matrix, Journal of Chemical Physics, 85, 6248 (1986).
  30. S. Torquato, Concentration Dependence of Diffusion-Controlled Reactions Among Static Reactive Sinks, Journal of Chemical Physics, 85, 7178 (1986).
  31. S. Torquato, Microstructure Characterization and Bulk Properties of Disordered Two-Phase Media, Journal of Statistical Physics, 45, 843 (1986).
  32. 1987

  33. S. Torquato and J. D. Beasley, Bounds on the Permeability of a Random Array of Partially Penetrable Spheres, Physics of Fluids, 30, 633 (1987).
  34. S. Torquato, Bounds on the Thermal Conductivity of Disordered Heterogeneous Media, Proceedings of the 1987 ASME/JSME Thermal Engineering Conference, 2, 359 (1987).
  35. S. Torquato, Characterization of the Microstructure of Disordered Media: A Unified Approach, Physical Review B, 35, 5385 (1987).
  36. S. Torquato, F. Lado, and P. A. Smith, Bulk Properties of Two-Phase Disordered Media. IV. Mechanical Properties of Suspensions of Penetrable Spheres at Non-Dilute Concentrations, Journal of Chemical Physics, 86, 6388 (1987).
  37. S. Torquato, Transport Properties of Disordered Composite Materials from the Microstructure, 6th International Conference on Composite Materials, London, England, Vol. 4, 302 (1987).
  38. P. M. Richards and S. Torquato, Upper and Lower Bounds for the Rate of Diffusion-Controlled Reactions, Journal of Chemical Physics, 87, 4612 (1987).
  39. A. K. Sen, F. Lado, and S. Torquato, Bulk Properties of Composite Media. I. Simplification of Bounds on the Shear Moduli of Suspensions of Impenetrable Spheres, Journal of Applied Physics, 62, 3503 (1987).
  40. A. K. Sen, F. Lado, and S. Torquato, Bulk Properties of Composite Media. II. Evaluation of Bounds on the Shear Moduli of Suspensions of Impenetrable Spheres, Journal of Applied Physics, 62, 4135 (1987).
  41. S. Torquato, Thermal Conductivity of Disordered Heterogeneous Media from the Microstructure, Reviews in Chemical Engineering, 4, 151 (1987).
  42. 1988

  43. P. A. Smith and S. Torquato, Computer Simulation Results for the Two-Point Probability Function of Composite Media, Journal of Computational Physics, 76, 176 (1988).
  44. S. Torquato and F. Lado, Bounds on the Conductivity of a Random Array of Cylinders, Proceedings of the Royal Society of London A, 417, 59 (1988).
  45. S. Torquato, J. D. Beasley, and Y. C. Chiew, Two-Point Cluster Function for Continuum Percolation, Journal of Chemical Physics, 88, 6540 (1988).
  46. J. Rubinstein and S. Torquato, Diffusion- Controlled Reactions: Mathematical Formulation, Variational Principles, and Rigorous Bounds, Journal of Chemical Physics, 88, 6372 (1988).
  47. S. Torquato and F. Lado, Bounds on the Effective Transport and Elastic Properties of Cylindrical Fibers in a Matrix, Journal of Applied Mechanics, 55, 347 (1988).
  48. S. Torquato, Transport Properties of Disordered Heterogeneous Media from the Microstructure, Proceedings from the Sixth Symposium on Energy Engineering Sciences, DOE CONF-8805106, 172 (1988).
  49. S. B. Lee and S. Torquato, Porosity for the Penetrable-Concentric-Shell Model of Two-Phase Disordered Media: Computer-Simulation Results, Journal of Chemical Physics, 89, 3258 (1988).
  50. A. K. Sen and S. Torquato, Series Expansions for Clustering in Continuum- Percolation Models with Interactions, Journal of Chemical Physics, 89, 3799 (1988).
  51. S. B. Lee and S. Torquato, Pair-Connectedness and Mean Cluster Size for Continuum-Percolation Models: Computer-Simulation Results, Journal of Chemical Physics, 89, 6427 (1988).
  52. 1989

  53. P. A. Smith and S. Torquato, Computer Simulation Results for Bounds on the Effective Conductivity of Composite Media, Journal of Applied Physics, 65, 893 (1989).
  54. S. Torquato and J. Rubinstein, Diffusion-Controlled Reactions. II. Further Bounds on the Rate Constant, Journal of Chemical Physics, 90, 1644 (1989).
  55. J. D. Beasley and S. Torquato, New Bounds on the Permeability of a Random Array of Spheres, Physics of Fluids A, 1, 199 (1989).
  56. A. K. Sen and S. Torquato, Effective Electrical Conductivity of Two-Phase Disordered Anisotropic Composite Media, Physical Review B, 39, 4504 (1989).
  57. S. B. Lee, I. C. Kim, C. A. Miller, and S. Torquato, Random-Walk Simulation of Diffusion-Controlled Processes Among Static Traps, Physical Review B, 39, 11833 (1989).
  58. S. B. Lee and S. Torquato, Measure of Clustering in Continuum Percolation: Computer-Simulation of the Two-Point Cluster Function, Journal of Chemical Physics, 91, 1173 (1989).
  59. J. Rubinstein and S. Torquato, Flow in Random Porous Media: Mathematical Formulation, Variational Principles and Rigorous Bounds, Journal of Fluid Mechanics, 206, 25 (1989).
  60. J. Rubinstein and S. Torquato, Bounds on Various Electrostatic and Hydrodynamic Capacities, Random Media and Composites, Eds. R. V. Kohn and G.W. Milton, Society of Industrial and Applied Mathematics, 60 (1989).
  61. C. A. Miller and S. Torquato, Diffusion-Controlled Reactions Among Spherical Traps: Effect of Polydispersivity in Trap Size, Physical Review B, 40, 7101 (1989).
  62. S. Torquato and I. C. Kim, An Efficient Simulation Technique to Compute Effective Properties of Heterogeneous Media, Applied Physics Letters, 55, 1847 (1989).
  63. 1990

  64. S. Torquato and A. K. Sen, Conductivity Tensor of Anisotropic Composite Media from the Microstructure, Journal of Applied Physics, 67, 1145 (1990).
  65. S. Torquato, B. Lu and J. Rubinstein, Nearest-Neighbor Distribution Function for Systems of Interacting Particles, Journal of Physics A: Mathematics and General, 23, L103 (1990).
  66. S. Torquato, B. Lu, and J. Rubinstein, Nearest-Neighbor Distribution Functions in Many-Body Systems, Physical Review A, 41, 2059 (1990).
  67. S. Torquato and B. Lu, Rigorous Bounds on the Fluid Permeability : Effect of Polydispersivity in Grain Size, Physics of Fluids A, 2, 487 (1990).
  68. B. Lu and S. Torquato, Photographic Granularity: Mathematical Formulation and Effect of Impenetrability of the Grains, Journal of the Optical Society of America A, 7, 717 (1990).
  69. J. F. Thovert, I. C. Kim, S. Torquato, and A. Acrivos, Bounds on the Effective Properties of Polydispersed Suspensions of Spheres: An Evaluation of Two Relevant Morphological Parameters, Journal of Applied Physics, 67, 6088 (1990).
  70. S. B. Lee and S. Torquato, Monte Carlo Study of Correlated Continuum Percolation: Universality and Percolation Thresholds, Physical Review A, 41, 5338 (1990).
  71. S. Torquato, Relationship Between Permeability and Diffusion-Controlled Trapping Constant of Porous Media, Physical Review Letters, 64, 2644 (1990).
  72. S. Torquato, Bounds on Thermoelastic Properties of Suspensions of Spheres, Journal of Applied Physics, 67, 7223 (1990).
  73. S. Torquato and S. B. Lee, Computer Simulations of Nearest-Neighbor Distribution Functions and Related Quantitites for Hard-Sphere Systems, Physica A, 167, 361 (1990).
  74. B. Lu and S. Torquato, Local Volume Fraction Fluctuations in Heterogeneous Media, Journal of Chemical Physics, 93, 3452 (1990).
  75. B. Lu and S. Torquato, n-Point Probability Functions for a Lattice Model of Heterogeneous Media, Physical Review B, 42, 4453 (1990)
  76. J. A. Given, I. C. Kim, S. Torquato and G. Stell, Comparison of Analytical and Numerical Results for the Mean Cluster Density in Continuum Percolation, Journal of Chemical Physics, 93 5128 (1990).
  77. F. Lado and S. Torquato, Two-Point Probability Function for Distributions of Oriented Hard Ellipsoids, Journal of Chemical Physics, 93, 5912 (1990).
  78. I. C. Kim and S. Torquato, Monte Carlo Calculations of Connectedness and Mean Cluster Size for Bidesperions of Overlapping Spheres , Journal of Chemical Physics, 93, 5998 (1990).
  79. I. C. Kim and S. Torquato, Determination of the Effective Conductivity of Heterogeneous Media by Brownian Motion Simulation, Journal of Applied Physics, 68, 3892 (1990).
  80. C. A. Miller and S. Torquato, Effective Conductivity of Hard Sphere Dispersions, Journal of Applied Physics 68, 5486 (1990).
  81. 1991

  82. S. Torquato, Random Heterogeneous Media: Microstructure and Improved Bounds on the Effective Properties, Applied Mechanics Reviews, 44, 37 (1991).
  83. C. A. Miller and S. Torquato, Improved Bounds on the Effective Elastic and Transport Properties of Fiber-Reinforced Composites: Effect of Polydispersivity in Fiber Radius, Journal of Applied Physics, 69, 1948 (1991).
  84. I. C. Kim and S. Torquato, Effective Conductivity of Suspensions of Spheres by Brownian Motion Simulation, Journal of Applied Physics, 69, 2280 (1991).
  85. B. Lu and S. Torquato, General Formalism to Characterize the Microstructure of Polydispersed Random Media, Physical Review A, 43, 2078 (1991).
  86. S. Torquato and F. Lado, Trapping Constant, Thermal Conductivity, and the Microstructure of Random Suspensions of Oriented Spheroids, Journal of Chemical Physics, 94, 4453 (1991).
  87. C. A. Miller, I. C. Kim and S. Torquato, Trapping and Flow Among Random Arrays of Oriented Spheroidal Inclusions, Journal of Chemical Physics, 94, 5592 (1991).
  88. S. Torquato, Microstructure and Effective Properties of Random Media , Lectures in Applied Mathematics, Edited by W. Kohler and B. White, American Mathematical Society, Rhode Island, 27, 323 (1991).
  89. I. C. Kim and S. Torquato, First Passage Time Calculation of the Conductivity of Continuum Models of Multiphase Composites, Physical Review A, 43, 3198 (1991).
  90. S. Torquato and J. Rubinstein, Improved Bounds on the Effective Conductivity of High Contrast Suspensions, Journal of Applied Physics, 69, 7118 (1991).
  91. M. Avellaneda, S. Torquato and I. C. Kim, Diffusion and Geometric Efffects for Passive Advection by Random Arrays of Vortices Physics of Fluids A, 3, 1880 (1991).
  92. C.A. Miller, A.R. Kerstein and S. Torquato, Sterically Hindered Fragmentation in Reactive Solids, Journal of Physics A: Mathematics and General, 24, 3077 (1991).
  93. S. Torquato, Trapping of Finite-Sized Brownian Particles in Porous Media, Journal of Chemical Physics, 95, 2838 (1991).
  94. S. Torquato and M. Avellaneda, Diffusion and Reaction in Heterogeneous Media: Pore Size Distribution, Relaxation Times, and Mean Survival Time, Journal of Chemical Physics, 95, 6477 (1991).
  95. M. Avellaneda and S. Torquato , Rigorous Link Between Fluid Permeability, Electrical Conductivity, and Relaxation Times for Transport in Porous Media, Physics of Fluids A, 3, 2529 (1991).
  96. S. Torquato, Diffusion and Reaction Among Traps: Some Theoretical and Simulation Results, Journal of Statistical Physics, 65, 1173 (1991).
  97. S. Torquato and M. Avellaneda Cross-Property Relations for Transport in Porous Media: Rigorous Link Between Fluid Permeability, Electrical Conductivity, and Relaxation Times, Multiphase Transport in Porous Media, American Society of Mechanical Engineers, 73 (1991).
  98. 1992

  99. I. C. Kim and S. Torquato, Diffusion of Finite-Sized Brownian Particles in Porous Media, Journal of Chemical Physics, 96,1498 (1992).
  100. B. Lu and S. Torquato, Lineal Path Function for Random Heterogeneous Materials, Physical Review A , 45, 922 (1992).
  101. S. Torquato and F. Lado, Improved Bounds on the Effective Elastic Moduli of Random Arrays of Cylinders, Journal of Applied Mechanics, 59, 1 (1992).
  102. I. C. Kim and S. Torquato, Effective Conductivity of Suspensions of Overlapping Spheres, Journal of Applied Physics, 71, 2727 (1992).
  103. B. Lu and S. Torquato, Nearest Surface Distribution Functions for Polydispersed Particle Systems, Physical Review A, 45, 5530 (1992).
  104. B. Lu and S. Torquato, Lineal Path Function for Random Heterogeneous Materials II. Effect of Polydispersivity, Physical Review A, 45, 7292 (1992).
  105. S. Torquato, Transport in Random Porous Media, Proceedings of the Tenth Symposium on Energy Engineering Sciences, CONF-9205147, 102 (1992).
  106. S. Torquato and I. C. Kim, Cross-Property Relations for Momentum and Diffusional Transport in Porous Media, Journal of Applied Physics, 72, 2612 (1992).
  107. S. Torquato, Connection Between the Morphology and Effective Properties of Heterogeneous Materials, Macroscopic Behavior of Heterogenous Materials from the Microstructure, Edited by S. Torquato and D. Krajcinovic, American Society of Mechanical Engineers, AMD-Vol. 147, 53, (1992).
  108. 1993

  109. B. Lu and S. Torquato, Chord-Length and Free-Path Distribution Functions in Many-Body Systems, Journal of Chemical Physics 98, 6472 (1993).
  110. S. Torquato and B. Lu, Chord-Length Distribution Function for Two-Phase Random Media, Physical Review E, 47, 2950 (1993).
  111. J. W. Eischen and S. Torquato, Determining Elastic Behavior of Composites by the Boundary Element Method, Journal of Applied Physics, 74, 159 (1993).
  112. I. C. Kim and S. Torquato, Effective Conductivity of Composites Containing Spheroidal Inclusions: Comparison of Simulations with Theory, Journal of Applied Physics, 74, 1844 (1993).
  113. L. V. Gibiansky and S. Torquato, Link Between the Conductivity and Elastic Moduli of Composite Materials, Physical Review Letters, 71, 2927 (1993).
  114. R. Blumenfeld and S. Torquato, Coarse-Graining Procedure to Generate and Analyze Heterogeneous Materials: Theory, Physical Review E, 48, 4492 (1993).
  115. L. M. Schwartz, N. Martys, D. P. Bentz, E. J. Garboczi, and S. Torquato, Cross-Property Relations and Permeability Estimation in Model Porous Media , Physical Review E, 48, 4584 (1993).
  116. 1994

  117. S. Torquato, Macroscopic Behavior of Random Media from the Microstructure, Applied Mechanics Reviews 47, (1994).
  118. L. M. Schwartz, F. Auzerais, J. Dunsmuir, N. Martys, and S. Torquato, Transport and Diffusion in Three Dimensional Composite Media, Physica A, 207, 28 (1994).
  119. S. Torquato, Unified Methodology to Quantify the Morphology and Properties of Inhomogeneous Media, Physica A, 207, 79 (1994).
  120. N. Martys, S. Torquato, and D. P. Bentz, Universal Scaling of Fluid Permeability for Sphere Packings , Physical Review E, 50, 403 (1994).
  121. 1995

  122. E. Cinlar and S. Torquato, Exact Determination of the Two-Point Cluster Function for One-Dimensional Continuum Percolation, Journal of Statistical Physics, 78, 827 (1995).
  123. D. Coker and S. Torquato, Simulation of Diffusion and Trapping in Digitized Heterogeneous Media, Journal of Applied Physics, 77, 955 (1995).
  124. S. Torquato, Mean Nearest-Neighbor Distance in Random Packings of D-Dimensional Hard Spheres, Physical Review Letters, 74, 2156 (1995).
  125. S. Torquato, Nearest-Neighbor Statistics for Random Packings of Hard Spheres and Disks, Physical Review E, 51, 3170 (1995).
  126. D. Coker and S. Torquato, Extraction of Morphological Quantities from a Digitized Image, Journal of Applied Physics, 77 (1995).
  127. J. Quintanilla and S. Torquato, New Bounds on the Elastic Moduli of Suspensions of Spheres, Journal of Applied Physics, 77 4361-4372, (1995).
  128. M. D. Rintoul and S. Torquato, Algorithm to Compute Void Statistics for Random Arrays of Disks, Physical Review E, 52, 2635 (1995).
  129. L. V. Gibiansky and S. Torquato, Geometrical Parameter Bounds on Effective Properties of Composites, Journal of the Mechanics and Physics of Solids, 43, 1587 (1995).
  130. S. Torquato and M. D. Rintoul, Effect of the Interface on the Properties of Composite Media , Physical Review Letters, 75, 4067-4070 (1995) .
  131. L. V. Gibiansky and S. Torquato, Rigorous Link Between the Conductivity and Elastic Moduli of Fiber-Reinforced Composite Materials, Philosophical Transactions of the Royal Society, 353, 243 (1995).
  132. 1996

  133. M. D. Rintoul, S. Torquato and G. Tarjus, Nearest-Neighbor Statistics in a One-Dimensional Random Sequential Adsorption Process, Physical Review E, 53, 450 (1996).
  134. L. V. Gibiansky and S. Torquato, Bounds on the Effective Moduli of Cracked Materials, Journal of the Mechanics and Physics of Solids, 44, 233 (1996).
  135. L. V. Gibiansky and S. Torquato, Connection Between the Conductivity and Bulk Modulus of Isotropic Composite Materials, Proceedings of the Royal Society of London A, 452, 253 (1996).
  136. J. Quintanilla and S. Torquato, Microstructure and Conductivity of Hierarchical Laminate Composites, Physical Review E, 53, 4368 (1996).
  137. L. V. Gibiansky and S. Torquato, Phase-Interchange Relations for the Elastic Moduli of Two-Phase Composites, International Journal of Engineering Science, 34, 739 (1996).
  138. M. D. Rintoul, S. Torquato, C. Yeong, D. T. Keane, S. Erramilli, Y. N. Jun, D. Dabbs and I. A. Aksay, Structure and Transport Properties of a Porous Magnetic Gel via X-ray Tomography, Physical Review E, 54, 2663 (1996).
  139. D. Coker, S. Torquato, and J. Dunsmuir Morphological and Physical Properties of Fountainebleu Sandstone from Tomographic Analysis, Journal of Geophysical Research, 101, 17497 (1996).
  140. J. Quintanilla and S. Torquato, Lineal Measures of Clustering in Overlapping Particle Models , Physical Review E 54, 4027 (1996).
  141. J. Quintanilla and S. Torquato, Clustering Properties of d-Dimensional Overlapping Spheres, Physical Review E 54, 5331 (1996).
  142. M. D. Rintoul and S. Torquato, Metastability and Crystallization in Hard-Sphere Systems, Physical Review Letters, 77, 4198 (1996).
  143. O. Sigmund and S. Torquato, Composites with Extremal Thermal Expansion Coefficients, Applied Physics Letters, 69, 3203 (1996).
  144. M. D. Rintoul and S. Torquato, Computer Simulations of Dense Hard-Sphere Systems, Journal of Chemical Physics, 105, 9258 (1996).
  145. S. Torquato and L. V. Gibiansky, Rigorous Link Between the Electrical and Mechanical Properties of Composite Materials, Symposium on Electrically Based Microstructural Characterization, Materials Research Society Proceedings eds. R.A. Gerhardt, S.R. Taylor and E.J.Garboczi, vol. 411, pp. 387-392 (1996).
  146. 1997

  147. J. Quintanilla and S. Torquato, Microstructure Functions for a model of Statistically Inhomogeneous Random Media, Physical Review E, 55, 1558 (1997).
  148. H. Cheng and S. Torquato, Effective Conductivity of Periodic Arrays of Spheres with Interfacial Resistance, Proceedings of the Royal Society of London A, 453, 145 (1997).
  149. J. Quintanilla and S. Torquato, Local Volume Fraction Fluctuations in Random Media, Journal of Chemical Physics, 106, 2741 (1997).
  150. M. D. Rintoul and S. Torquato, Reconstruction of the Structure of Dispersions, Journal of Colloid and Interface Science, 186, 467 (1997).
  151. L.V. Gibiansky and S. Torquato, Optimal Design of 1-3 Composite Piezoelectrics, Structural and Multidisciplinary Optimization, 13, 23 (1997).
  152. S. Torquato and C.L.Y. Yeong, Universal Scaling for Diffusion-Controlled Reactions Among Traps, Journal of Chemical Physics, 106, 8814 (1997).
  153. J. Quintanilla and S. Torquato, Clustering in Continuum Percolation Models, Advances in Applied Probability, 29, 327 (1997).
  154. L.V. Gibiansky and S. Torquato, On the Use of Homogenization Theory to Optimally Design Piezocomposites for Hydrophone Applications, Journal of the Mechanics and Physics of Solids, 45, 689 (1997).
  155. O. Sigmund and S. Torquato, Design of Materials with Extreme Thermal Expansion using a Three-Phase Topology Optimization Method, Journal of the Mechanics and Physics of Solids, 45, 1037 (1997).
  156. L.V. Gibiansky and S. Torquato, Thermal expansion of isotropic multiphase composites and polycrystals Journal of the Mechanics and Physics of Solids, 45, 1223 (1997).
  157. H. Cheng and S. Torquato, Effective Conductivity of Dispersions of Spheres with a Superconducting Interface, Proceedings of the Royal Society, 453, 1331 (1997).
  158. S. Torquato, Exact Expression for the Effective Elastic Tensor of Disordered Composites, Physical Review Letters, 79, 681 (1997).
  159. M. D. Rintoul and S. Torquato, Precise Determination of the Critical Threshold and Exponents in a 3D Continuum Percolation Model, Journal of Physics A: Mathematics and General, 30, L585 (1997).
  160. H. Cheng and S. Torquato, Electric Field Fluctuations in Random Dielectric Composites , Physical Review B, 56, 8060 (1997).
  161. S. Torquato, Effective Stiffness Tensor of Composite Media: I. Exact Series Expansions, Journal of the Mechanics and Physics of Solids, 45, 1421 (1997).
  162. 1998

  163. C. L. Y. Yeong and S. Torquato, Reconstructing Random Media, Physical Review E, 57, 495 (1998).
  164. S. Torquato, L. V. Gibiansky, M. Silva and L. Gibson, Effective Mechanical and Transport Properties of Cellular Solids, International Journal of Mechanical Sciences, 40, 71 (1998).
  165. S. Torquato, Morphology and Effective Properties of Disordered Heterogeneous Media , International Journal of Solids and Structures, 35, 2385 (1998).
  166. O. Sigmund, S. Torquato and I.A. Aksay, On the optimization of 1-3 piezo-composites using topology optimization, Journal of Materials Research, 14, 1038 (1998).
  167. L. V. Gibiansky and S. Torquato, New Method to Generate Three-Point Bounds on Effective Properties of Composites: Application to Viscoelasticity, Journal of the Mechanics and Physics of Solids, 46, 749 (1998).
  168. L. Berlyand, M. D. Rintoul and S. Torquato, First-Passage Percolation and Failure in Brittle Materials, Journal of Statistical Physics, 91, 603 (1998).
  169. C. L. Y. Yeong and S. Torquato, Reconstructing Random Media: II. Three-Dimensional from Two-Dimensional Cuts, Physical Review E, 58, 224 (1998).
  170. M. D. Rintoul and S. Torquato, Hard-Sphere Statistics Along the Metastable Amorphous Branch, Physical Review E, 58, 3083 (1998).
  171. L. V. Gibiansky and S. Torquato, New Approximation for the Effective Energy of Non-linear Conducting Composites, Journal of Applied Physics, 84, 301 (1998).
  172. S. Torquato, Effective Stiffness Tensor of Composite Media: II. Applications to Isotropic Dispersions, Journal of the Mechanics and Physics of Solids, 46, 1411 (1998).
  173. T. M. Truskett, S. Torquato, S. Sastry, P. Debenedetti, and F. H. Stillinger, A Structural Precursor to Freezing in the Hard-Disk and Hard-Sphere Systems, Physical Review E, 58, 3083 (1998).
  174. S. Sastry, T.M. Truskett, P.G. Debenedetti, S. Torquato, and F.H. Stillinger, Free Volume in the Hard-Sphere Liquid, Molecular Physics, 95, 289 (1998).
  175. D. Cule and S. Torquato, Electric-Field Distribution in Composite Media, Physical Review B, 58, R11829 (1998).
  176. T. M. Truskett, S. Torquato, and P. G. Debenedetti, Density Fluctuations in Many-Body Systems, Physical Review E, 58, 7369 (1998).
  177. L. V. Gibiansky and S. Torquato, Rigorous Connection Between Physical Properties of Porous Rocks, Journal of Geophysical Research (Solid Earth), 103, 23911 (1998).
  178. L. V. Gibiansky and S. Torquato, Effective Energy of Nonlinear Elastic and Conducting Composites: Approximations and Cross-Property Bounds, Journal of Applied Physics, 84, 5969 (1998).
  179. 1999

  180. L. V. Gibiansky and S. Torquato, Matrix Laminate Composites: Realizable Approximations for the Effective Moduli of Piezoelectric Dispersions, Journal of Materials Research, 14, 49 (1999).
  181. S. Torquato, I. C. Kim, and D. Cule, Effective Conductivity, Dielectric Constant, and Diffusion Coefficient of Digitized Composite Media via First-Passage-Time-Equations, Journal of Applied Physics, 85, 1560 (1999).
  182. J. Quintanilla and S. Torquato, Local Volume Fraction Fluctuations in Periodic Media, Journal of Chemical Physics, 110, 3215 (1999).
  183. S. Torquato, C. Yeong, M. D. Rintoul, D. Milius, and I. A. Aksay, Characterizing the Structure and Mechanical Properties of Interpenetrating Multiphase Cermets, Journal of the American Ceramics Society, 82, 1263 (1999).
  184. A. P. Roberts and S. Torquato, Chord-Distribution Functions of Three-Dimensional Random Media: Approximate First-Passage Times of Gaussian Processes, Physical Review E, 59, 4953 (1999).
  185. S. Pecullan, L. V. Gibiansky, and S. Torquato, Scale Effects on the Effective Elastic Moduli of Hierarchical Composites, Journal of the Mechanics and Physics of Solids, 47, 1509 (1999).
  186. O. Sigmund and S. Torquato, Design of Smart Composite Materials Using Topology Optimization, Smart Materials and Structures, 8, 365 (1999).
  187. T. M. Truskett, P. G. Debenedetti, S. Sastry, and S. Torquato, A Single-Bond Approach to Orientation-Dependent Interactions and its Implications for Water, Journal of Chemical Physics, 111, 2647 (1999).
  188. D. Cule and S. Torquato, Generating Random Media from Limited Microstructural Information via Stochastic Optimization, Journal of Applied Physics, 86, 3428 (1999).
  189. B. Xu, F. Arias, S. T. Britain, X-M. Zhao, B. Gryzbowski, S. Torquato, and G. M. Whitesides, Making Negative Poisson's Ratio Microstructures by Soft Lithography , Advanced Materials, 11, 1186 (1999).
  190. J. Quintanilla and S. Torquato, Percolation for a Model of Statistically Inhomogeneous Random Media, Journal of Chemical Physics, 111, 5947 (1999).
  191. S. Torquato, Exact Conditions on Physically Realizable Correlation Functions of Random Media, Journal of Chemical Physics, 111, 8832 (1999).
  192. 2000

  193. S. Torquato, Modeling of Physical Properties of Composite Materials , International Journal of Solids and Structures, 37, 411 (2000).
  194. A. R. Kansal, S. Torquato, G. R. Harsh, E. A. Chiocca, and T. S. Deisboeck, Cellular Automaton of Idealized Brain Tumor Growth Dynamics, Biosystems, 55, 119 (2000).
  195. S. Torquato, T. M. Truskett, and P. G. Debenedetti, Is Random Close Packing of Spheres Well Defined?, Physical Review Letters, 84, 2064 (2000).
  196. A. R. Kansal, S. Torquato, G. R. Harsh, E. A. Chiocca, and T. S. Deisboeck, Simulated Brain Tumor Growth using a Three-Dimensional Cellular Automaton, Journal of Theoretical Biology, 203, 367 (2000).
  197. I. C. Kim, D. Cule, and S. Torquato, Comment on Walker Diffusion Method for Calculation of Transport Properties of Composite Materials, Physical Review E, 61, 4659 (2000).
  198. C. Manwart, S. Torquato, and R. Hilfer, Stochastic reconstruction of sandstones, Physical Review E, 62, 893 (2000).
  199. T. M. Truskett, S. Torquato, and P. G. Debenedetti, Quantifying Disorder in Equilibrium and Glassy Sphere Packings, Physical Review E, 62, 993 (2000).
  200. A. R. Kansal, T. M. Truskett, and S. Torquato, Hard-Disk Packings with Controlled Orientational Order, Journal of Chemical Physics, 113, 4844 (2000).
  201. S. Hyun and S. Torquato, Effective Elastic and Transport Properties of Regular Honeycomb Structures for All Densities, Journal of Materials Research, 15, 1985 (2000).
  202. D. K. Stillinger, F. H. Stillinger, S. Torquato, T. M. Truskett, and P. G. Debenedetti, Triangle Distribution and Equation of State for Classical Rigid Disks, Journal of Statistical Physics, 100, 49 (2000).
  203. J. Quintanilla, S. Torquato, and R. Ziff, Efficient Measurement of the Percolation Threshold for Fully Penetrable Disks, Journal of Physics A: Mathematics & General, 33, L399 (2000).
  204. A. R. Kansal, S. Torquato, E. A. Chiocca, and T. S. Deisboeck, Emergence of a Subpopulation in a Computational Model of Tumor Growth, Journal of Theoretical Biology, 207, 431 (2000).
  205. F. H. Stillinger, D. K. Stillinger, S. Torquato, T. M. Truskett, and P. G. Debenedetti, Equation of State of the Rigid Disk from its Triangle Distribution , Journal of Chemical Physics, 113, 10186 (2000).
  206. 2001

  207. S. Hyun and S. Torquato, Designing Composite Microstructures with Targeted Properties , Journal of Materials Research, 16, 280 (2001).
  208. N. Sheehan and S. Torquato, Generating Microstructures with Specified Correlation Functions, Journal of Applied Physics, 89, 53 (2001).
  209. T. M. Truskett, P. G. Debenedetti, and S. Torquato, Thermodynamic Implications of Confinement for a Water-Like Fluid, Journal of Chemical Physics, 114, 2401 (2001).
  210. S. Torquato and S. Hyun, Effective-Medium Theory for Composite Media: Realizable Single-Scale Dispersions, Journal of Applied Physics, 89, 1725 (2001).
  211. T. S. Diesboeck, M. E. Berens, A. R. Kansal, S. Torquato, A. Rachamimov, D. N. Louis, and E. A. Chiocca, Patterns of Self-Organization in Tumor Systems: Complex Growth Dynamics in a Novel Brain Tumor Spheroid Model, Cell Proliferation, 34, 115 (2001).
  212. F. H. Stillinger, S. Torquato, J. M. Eroles, and T. M. Truskett, Iso-g(2) Processes in Equilibrium Statistical Mechanics, Journal of Physical Chemistry B, 105, 6592 (2001).
  213. S. Torquato and F. H. Stillinger, Multiplicity of Generation, Selection, and Classification Procedures for Jammed Hard-Particle Packings, Journal of Physical Chemistry B, 105, 11849 (2001).
  214. A. R. Kansal and S. Torquato, Globally and Locally Minimal Weight Branched Tree Networks, Physica A, 301, 601 (2001).
  215. 2002

  216. S. Hyun and S. Torquato, Optimal and Manufacturable Two-Dimensional, Kagomé-Like Cellular Solids,Journal of Materials Research, 17, 137 (2002).
  217. S. Torquato, Statistical Description of Microstructures, Annual Reviews of Materials Research, 32, 77, (2002).
  218. A. R. Kansal and S. Torquato, Prediction of Trapping Rates in Mixtures of Partially Absorbing Spheres , Journal of Chemical Physics, 116, 10589 (2002).
  219. F. H. Stillinger, H. Sakai, and S. Torquato, Statistical Mechanical Models with Effective Potentials: Definitions, Applications, and Thermodynamic Consequences, Journal of Chemical Physics, 117, 288 (2002).
  220. H. Sakai, S. Torquato, and F. H. Stillinger, Equi-g(r) Sequences of Systems Derived from the Square-Well Potential, Journal of Chemical Physics, 117, 297 (2002).
  221. S. Torquato and F. H. Stillinger, Controlling the Short-Range Order and Packing Densities of Many-Particle Systems, Journal of Physical Chemistry B, 106, 8354 (2002). Please see Erratum.
  222. T. M. Truskett, P. G. Debenedetti, and S. Torquato, Comment on Observations on an Equation of State for Water Confined in Narrow Slit-Pores, Journal of Chemical Physics, 117, 8162 (2002).
  223. A. R. Kansal, S. Torquato, and F. H. Stillinger, Computer Generation of Dense Polydisperse Sphere Packings, Journal of Chemical Physics, 117, 8212 (2002). Please see Erratum.
  224. A. R. Kansal, S. Torquato, and F. H. Stillinger, Diversity of Order and Densities in Jammed Hard-Particle Packings, Physical Review E, 66, 041109 (2002).
  225. J. R. Errington, P. G. Debenedetti, and S. Torquato, Cooperative Origin of Low-Density Domains in Liquid Water, Physical Review Letters, 89, 215503 (2002).
  226. S. Torquato, S. Hyun, and A. Donev, Multifunctional Composites: Optimizing Microstructures for Simultaneous Transport of Heat and Electricity, Physical Review Letters, 89, 266601 (2002).
  227. J. E. Schmitz, A. R. Kansal, and S. Torquato, A Cellular Automaton Model of Brain Tumor Treatment and Resistance , Journal of Theoretical Medicine, 4, 223 (2002).
  228. 2003

  229. J. R Errington, P. G. Debenedetti, and S. Torquato, Quantification of Order in the Lennard-Jones System, Journal of Chemical Physics, 118, 2256 (2003).
  230. F. H. Stillinger, H. Sakai, and S. Torquato, Lattice-Based Random Jammed Configurations for Hard Particles, Physical Review E, 67, 031107 (2003).
  231. A. Donev and S. Torquato, Energy-Efficient Actuation in Infinite Lattice Structures, Journal of the Mechanics and Physics of Solids, 51, 1459 (2003).
  232. J. Crawford, S. Torquato, and F. H. Stillinger, Aspects of Correlation Function Realizability, Journal of Chemical Physics, 119, 7065-7074 (2003).
  233. S. Torquato and F. H. Stillinger, Local Density Fluctuations, Hyperuniform Systems, and Order Metrics, Physical Review E, 68, 041113 1-25 (2003).
  234. S. Torquato, S. Hyun, and A. Donev, Optimal Design of Manufacturable Three-Dimensional Composites with Multifuctional Characteristics, Journal of Applied Physics, 94, 5748-5755 (2003).
  235. D. C. Pham and S. Torquato, Strong-Contrast Expansions and Approximations for the Effective Conductivity of Multiphase Composites, Journal of Applied Physics, 94, 6591-6602 (2003).
  236. S. Hyun, A. M. Karlsson, S. Torquato, and A. G. Evans, Simulated Properties of Kagome and Tetragonal Truss Core Panels, International Journal of Solids and Structures, 40, 6989-6998 (2003).
  237. S. Torquato, A. Donev, and F. H. Stillinger, Breakdown of Elasticity Theory for Jammed Hard-Particle Packings: Conical Nonlinear Constitutive Theory, International Journal of Solids and Structures, 40, 7143-7153 (2003).
  238. 2004

  239. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, Jamming in Hard Sphere and Disk Packings, Journal of Applied Physics, 95, 989-999 (2004).
  240. A. Donev, I. Cisse, D. Sachs, E. A. Variano, F. H. Stillinger, R. Connelly, S. Torquato, and P. M. Chaikin, Improving the Density of Jammed Disordered Packings using Ellipsoids, Science, 303, 990-993 (2004).
  241. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, A Linear Programming Algorithm to Test for Jamming in Hard-Sphere Packings, Journal of Computational Physics, 197, 139 (2004).
  242. S. Torquato and D. C. Pham, Optimal Bounds on the Trapping Constant and Permeability of Porous Media, Physical Review Letters, 92, 255505 (2004).
  243. A. Donev, F. H. Stillinger, P. M. Chaikin, and S. Torquato, Unusually Dense Crystal Ellipsoid Packings, Physical Review Letters, 92, 255506 (2004).
  244. S. Torquato and A. Donev, Minimal Surfaces and Multifunctionality, Proceedings of the Royal Society of London A, 460, 1849 (2004).
  245. O. U. Uche, F. H. Stillinger, and S. Torquato, Concerning Maximal Packing Arrangements of Binary Disk Mixtures, Physica A, 342, 428 (2004).
  246. A. Gabrielli and S. Torquato, Voronoi and Void Statistics for Super-homogeneous Point Processes, Physical Review E, 70, 041105 (2004).
  247. A. Donev, S. Torquato, F. H. Stillinger, and R. Connelly, Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder" , Physical Review E, 70, 043301 (2004).
  248. O. U. Uche, F. H. Stillinger, and S. Torquato, Constraints on Collective Density Variables: Two Dimensions, Physical Review E , 70, 046122 (2004).
  249. F. H. Stillinger and S. Torquato, Pair Correlation Function Realizability: Lattice Model Implications, Journal of Physical Chemistry B, 108, 19589 (2004).
  250. 2005

  251. D. C. Pham and S. Torquato, Exactly Realizable Bounds on the Trapping Constant and Permeability, Journal of Applied Physics, 97, 013535 (2005).
  252. A. Donev, S. Torquato, and F. H. Stillinger, Neighbor List Collision-Driven Molecular Dynamics for Nonspherical Hard Particles: I. Algorithmic Details, Journal of Computational Physics, 202, 737 (2005).
  253. A. Donev, S. Torquato, and F. H. Stillinger, Neighbor List Collision-Driven Molecular Dynamics for Nonspherical Hard Particles: II. Applications to Ellipses and Ellipsoids, Journal of Computational Physics, 202, 765 (2005).
  254. A. Donev, S. Torquato, and F. H. Stillinger, Pair Correlation Function Characteristics of Nearly Jammed Disordered and Ordered Hard-Sphere Packings, Physical Review E, 71, 011105 (2005).
  255. W. Man, A. Donev , F. H. Stillinger, M. T. Sullivan, W. B. Russel, D. Heeger , S. Inati, S. Torquato and P. M. Chaikin, Experiments on Random Packings of Ellipsoids, Physical Review Letters, 94, 198001 (2005).
  256. S. Torquato, A. Donev, C. J. Brinker, and A. G. Evans, Manufacturable Extremal Low-Dielectric, High-Stiffness Cellular Solids, Journal of Applied Physics, 97, 124103 (2005).
  257. A.Donev , F. H. Stillinger, and S. Torquato, Unexpected Density Fluctuations in Disordered Jammed Hard-Sphere Packings, Physical Review Letters, 95, 090604 (2005).
  258. F. H. Stillinger and S. Torquato, Realizability Issues for Iso-g(2) Processes, Molecular Physics, 103, 2943 (2005).
  259. Y. Jung and S. Torquato, Fluid Permeabilities of Triply Periodic Minimal Surfaces, Physical Review E, 92, 255505 (2005).
  260. M. Rechtsman, F. H. Stillinger, S. Torquato, Optimized Interactions for Targeted Self-Assembly: Application to Honeycomb Lattice , Physical Review Letters, 95, 228301 (2005). Please see Erratum.
  261. 2006

  262. O. U. Uche, F. H. Stillinger, and S. Torquato, On the Realizability of Pair Correlation Functions, Physica A, 360, 21 (2006).
  263. M. Rechtsman, F. H. Stillinger, S. Torquato, Designed Interaction Potentials via Inverse Methods for Self-Assembly, Physical Review E, 73, 011406 (2006). Please see Erratum.
  264. A. Donev , J. Burton, F. H. Stillinger, and S. Torquato, Tetratic Order in the Phase Behaviour of a Hard-Rectangle System, Physical Review B, 73, 054109 (2006).
  265. S. Torquato and F. H. Stillinger, Exactly Solvable Disordered Hard-Sphere Packing Model in Arbitrary-Dimensional Euclidean Spaces, Physical Review E, 73, 031106 (2006).
  266. A. Donev, F. H. Stillinger and S. Torquato, Do Binary Hard Disks Exhibit an Ideal Glass Transition?, Physical Review Letters, 96, 225502 (2006).
  267. J. H. Conway and S. Torquato, Packing, Tiling and Covering with Tetrahedra, Proceedings of the National Academy of Sciences, 103, 10612 (2006).
  268. A.-P. Hynninen, A. Panagiotopoulos, M. C. Rechtsman, F. H. Stillinger and S. Torquato, Global Phase Diagram of the Honeycomb Potential, Journal of Chemical Physics, 125, 024505 (2006).
  269. M. C. Rechtsman, F. H. Stillinger and S. Torquato, Self-Assembly of the Simple Cubic Lattice via an Isotropic Potential, Physical Review E, 74 021404 (2006).
  270. O. U. Uche, S. Torquato and F. H. Stillinger, Collective Coordinates Control of Density Distributions, Physical Review E, 74, 031104 (2006).
  271. S. Torquato and F. H. Stillinger, New Conjectural Lower Bounds on the Optimal Density of Sphere Packings, Experimental Mathematics 15, 307 (2006).
  272. S. Torquato, Necessary Conditions on Realizable Two-Point Correlation Functions of Random Media, Industrial and Engineering Chemistry Research, 45, 6923 (2006).
  273. P. M. Chaikin, A. Donev, W. Man, F. H. Stillinger, and S. Torquato, Some Observations on the Random Packing of Hard Ellipsoids, Industrial and Engineering Chemistry Research, 45, 6960 (2006).
  274. M. Skoge, A. Donev, F. H. Stillinger and S. Torquato, Packing Hyperspheres in High-Dimensional Euclidean Spaces, Physical Review E 74, 041127 (2006).
  275. J. L. Gevertz and S. Torquato, Modeling the Effects of Vasculature Evolution on Early Brain Tumor Growth,Journal of Theoretical Biology 243, 517 (2006).
  276. S. Torquato, O. U. Uche and F. H. Stillinger, Random Sequential Addition of Hard Spheres in High Euclidean Dimensions, Physical Review E 74, 061308 (2006).
  277. 2007

  278. Y. Jung, K. T. Chu and S. Torquato, A Variational Level Set Approach for Surface Area Minimization of Triply Periodic Media, Journal of Computational Physics 223, 711 (2007).
  279. M. Rechtsman, F. H. Stillinger and S. Torquato, Synthetic Diamond and Wurtzite Structures Self-Assemble with Isotropic Pair Interactions , Physical Review E 75, 031403 (2007).
  280. A. Donev, R. Connelly, F. H. Stillinger and S. Torquato, Underconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids, Physical Review E, 75, 051304 (2007).
  281. H. Fan, C. Hartshorn, T. Buchheit, D. Tallant, R. Sullivan, D. J. Lacks, S. Torquato, and C. J. Brinker, Evidence for New Modulus/Density Scaling Relationships and Framework Architectures in Porous, Self-Assembled Nanostructures, Nature Materials, 6, 418 (2007).
  282. A. Donev, F. H. Stillinger and S. Torquato, Calculating the Free Energy of Nearly Jammed Hard-Particle Packings Using Molecular Dynamics, Journal of Computational Physics, 225, 509 (2007).
  283. Y. Jiao, F. H. Stillinger and S. Torquato, Modeling Heterogeneous Materials via Two-Point Correlation Functions: Basic Principles, Physical Review E, 76, 031110 (2007).
  284. A. Donev, F. H. Stillinger and S. Torquato, Configurational Entropy of Binary Hard-Disk Glasses: Nonexistence of an Ideal Glass Transition, Journal of Chemical Physics, 127, 124509 (2007).
  285. S. Torquato and F. H. Stillinger, Toward the Jamming Threshold of Sphere Packings: Tunneled Crystals, Journal of Applied Physics, 102, 093511 (2007). Please see Erratum .
  286. M. C. Rechtsman, F. H. Stillinger and S. Torquato, Negative Thermal Expansion in Single-Component Systems with Isotropic Interactions, Journal of Physical Chemistry A, 111, 12816 (2007).
  287. 2008

  288. S. Torquato and F. H. Stillinger, New Duality Relations for Classical Ground States, Physical Review Letters, 100, 020602 (2008).
  289. A. Gabrielli, M. Joyce and S. Torquato, Tilings of Space and Superhomogeneous Point Processes, Physical Review E, 77, 031125 (2008).
  290. Y. Jiao, F. H. Stillinger and S. Torquato, Modeling Heterogeneous Materials via Two-Point Correlation Functions: II. Algorithmic Details and Applications Physical Review E , 77, 031135 (2008).
  291. A. Scardicchio, F. H. Stillinger and S. Torquato, Estimates of the Optimal Density of Sphere Packings in High Dimensions, Journal of Mathematical Physics, 49, 043301 (2008).
  292. M. C. Rechtsman and S. Torquato, Effective Dielectric Tensor for Electromagnetic Wave Propagation in Random Media, Journal of Applied Physics, 103, 084901 (2008).
  293. C. E. Zachary, F. H. Stillinger and S. Torquato, Gaussian-Core Model Phase Diagram and Pair Correlations in High Euclidean Dimensions , Journal of Chemical Physics, 128, 224505 (2008).
  294. Y. Jiao, F. H. Stillinger and S. Torquato, Optimal Packings of Superdisks and the Role of Symmetry, Physical Review Letters, 100, 245504 (2008).
  295. R. D. Batten, F. H. Stillinger and S. Torquato, Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials, Journal of Applied Physics, 104, 033504 (2008).
  296. M. C. Rechtsman, H-C. Jeong, P. M. Chaikin, S. Torquato and P. J. Steinhardt, Optimized Structures for Photonic Quasicrystals, Physical Review Letters, 101, 073902 (2008).
  297. J. L. Gevertz and S. Torquato, A Novel Three-Phase Model of Brain Tissue Microstructure, PLoS Computational Biology, 4, e1000152 (2008)
  298. M. C. Rechtsman, F. H. Stillinger and S. Torquato, Negative Poisson's Ratio Materials via Isotropic Interactions, Physical Review Letters, 101, 085501 (2008).
  299. J. L. Gevertz, G. Gillies, and S. Torquato, Simulating Tumor Growth in Confined Heterogeneous Environments, Physical Biology, 5, 036010 (2008).
  300. S. Torquato, A Scardicchio and C. E. Zachary, Point Processes in Arbitrary Dimension from Fermionic Gases, Random Matrix Theory, and Number Theory, Journal of Statistical Mechanics: Theory and Experiment, P11019 (2008).

    2009

  301. S. Torquato, Inverse Optimization Techniques for Targeted Self-Assembly , Soft Matter, 5, 1157 (2009).
  302. A. B. Hopkins, F. H. Stillinger and S. Torquato, Dense Sphere Packings from Optimized Correlation Functions, Physical Review E, 79, 031123 (2009).
  303. A. Scardicchio, C. E. Zachary and S. Torquato, Statistical Properties of Determinantal Point Processes in High-Dimensional Euclidean Spaces, Physical Review E, 79, 041108 (2009).
  304. Y. Jiao, F. H. Stillinger and S. Torquato, Optimal Packings of Superballs, Physical Review E, 79, 041309 (2009). Please see Erratum.
  305. J. L. Gevertz and S. Torquato, Mean Survivial Times of Absorbing Triply Periodic Minimal Surfaces, Physical Review E, 80, 011102 (2009).
  306. R. D. Batten, F. H. Stillinger, and S. Torquato, Novel Low-Temperature Behavior in Classical Many-Particle Systems, Physical Review Letters, 103, 050602 (2009).
  307. S. Torquato and Y. Jiao. Dense Packings of the Platonic and Archimedean Solids, Nature, 460, 876 (2009). Please see Erratum and Corrigendum.
  308. R. D. Batten, F. H. Stillinger, and S. Torquato, Interactions Leading to Disordered Ground States and Unusual Low-Temperature Behavior, Physical Review E, 80, 031105 (2009).
  309. S. Torquato and Y. Jiao. Dense Packings of Polyhedra: Platonic and Archimedean Solids, Physical Review E, 80, 041104 (2009). Please see Erratum.
  310. M. Florescu, S. Torquato, and P. J. Steinhardt, Complete Band Gaps in Two-Dimensional Photonic Quasicrystals, Physical Review B, 80, 155112 (2009).
  311. Y. Jiao, F. H. Stillinger, and S. Torquato, A Superior Descriptor of Random Textures and Its Predictive Capacity, Proceedings of the National Academy of Sciences, 106, 17634 (2009).
  312. M. C. Rechtsman and S. Torquato, Method for Obtaining Upper Bounds on Photonic Band Gaps, Physical Review B, 80, 155126 (2009).
  313. J. Gevertz and S. Torquato, Growing Heterogeneous Tumors in Silico, Physical Review E, 80, 051910 (2009).
  314. M. Florescu, S. Torquato and P. J. Steinhardt, Designer Disordered Materials with Large, Complete Photonic Band Gaps, Proceedings of the National Academy of Sciences, 106, 20658 (2009).
  315. C. E. Zachary and S. Torquato, Hyperuniformity in Point Patterns and Two-Phase Random Heterogeneous Media , Journal of Statistical Mechanics: Theory and Experiment, P12015 (2009).

    2010

  316. Y. Jiao, F. H. Stillinger, and S. Torquato, Geometrical Ambiguity of Pair Statistics: Point Configurations, Physical Review E, 81, 011105 (2010).
  317. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Spherical Codes, Maximal Local Packing Density, and the Golden Ratio, Journal of Mathematical Physics, 51, 043302 (2010).
  318. Y. Jiao, F. H. Stillinger, and S. Torquato, Distinctive Features Arising in Maximally Random Jammed Packings of Superballs, Physical Review E, 81, 041304 (2010).
  319. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Densest Local Sphere-Packing Diversity: General concepts and application to two dimensions, Physical Review E, 81, 041305 (2010).
  320. S. Torquato and Y. Jiao, Exact Constructions of a Family of Dense Periodic Packings of Tetrahedra, Physical Review E, 81, 041310 (2010).
  321. R. D. Batten, F. H. Stillinger, and S. Torquato, Phase Behavior of Colloidal Superballs: Shape Interpolation from Spheres to Cubes, Physical Review E, 81, 061105, (2010). Please see Erratum.
  322. Y. Jiao, F. H. Stillinger, and S. Torquato, Geometrical Ambiguity of Pair Statistics. II. Heterogeneous Media, Physical Review E, 82, 011106 (2010).
  323. S. Torquato, Optimal Design of Heterogeneous Materials, Annual Review of Materials Research, 40, 101 (2010).
  324. S. Torquato and F. H. Stillinger, Jammed Hard-Particle Packings: From Kepler to Bernal and Beyond, Reviews of Modern Physics, 82, 2633 (2010).
  325. S. Torquato, Reformulation of the Covering and Quantizer Problems as Ground States of Interacting Particles , Physical Review E, 82, 056109 (2010).
  326. M. Florescu, S. Torquato, and P.J. Steinhardt, Effects of Random Link Removal on the Photonic Band Gaps of Honeycomb Networks, Applied Physics Letters, 97, 201103 (2010).
  327. S. Torquato and Y. Jiao, Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings Via Linear Programming Physical Review E, 82, 061302 (2010).

    2011

  328. Y. Jiao, F. H. Stillinger, and S. Torquato, Nonuniversality of Density and Disorder of Jammed Sphere Packings, Journal of Applied Physics, 109, 013508 (2011).
  329. W. T Gilleland, S. Torquato, and W. B. Russel, New Bounds on the Sedimentation Velocity for Hard, Charged, and Adhesive Hard Sphere Colloids Journal of Fluid Mechanics, 667, 403 (2011).
  330. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Densest Local Packing Diversity. II. Application to Three Dimensions, Physical Review E, 83, 011304 (2011).
  331. S. Torquato, Toward an Ising Model of Cancer and Beyond, Physical Biology, 8, 015017 (2011).
  332. É. Marcotte, F. H. Stillinger, and S. Torquato, Optimized Monotonic Convex Pair Potentials Stabilize Low-Coordinated Crystals, Soft Matter, 7, 2332 (2011).
  333. S. Torquato, C. E. Zachary, and F. H. Stillinger, Duality Relations for the Classical Ground States of Soft-Matter Systems, Soft Matter, 7, 3780 (2011).
  334. É. Marcotte, F. H. Stillinger, and S. Torquato, Unusual Ground States via Monotonic Convex Pair Potentials, Journal of Chemical Physics, 134, 164105 (2011).
  335. C. E. Zachary, Y. Jiao, and S. Torquato, Hyperuniform Long-Range Correlations are a Signature of Disordered Jammed Hard-Particle Packings, Physical Review Letters, 106, 178001 (2011).
  336. C. E. Zachary and S. Torquato. Anomalous Local Coordination, Density Fluctuations, and Void Statistics in Disordered Hyperuniform Many-Particle Ground States, Physical Review E, 83, 051133 (2011).
  337. C. E. Zachary, Y. Jiao, and S. Torquato. Hyperuniformity, Quasi-Long-Range Correlations, and Void Space Constraints in Maximally Random Jammed Particle Packings. I. Polydisperse Spheres, Physical Review E, 83, 051308 (2011).
  338. C. E. Zachary, Y. Jiao, and S. Torquato. Hyperuniformity, Quasi-Long-Range Correlations, and Void Space Constraints in Maximally Random Jammed Particle Packings. II. Anisotropy in Particle Shape, Physical Review E, 83, 051309 (2011).
  339. J. H. Conway, Y. Jiao and S. Torquato, A New Family of Tilings of Three-Dimensional Euclidean Space by Tetrahedra and Octahedra, Proceedings of the National Academy of Sciences, 108, 11009 (2011).
  340. R. B. Batten, D. A. Huse, F. H. Stillinger, and S. Torquato, Novel Ground-State Crystals with Controlled Vacancy Concentrations: From Kagomé to Honeycomb to Stripes, Soft Matter, 7, 6194 (2011).
  341. R. D. Batten, F. H. Stillinger, and S. Torquato, Inherent Structures for a Soft Long-Range Interaction in Two-Dimensional Many-Particle Systems, Journal of Chemical Physics, 135, 054104 (2011).
  342. A. B. Hopkins, Y. Jiao, F. H. Stillinger, and S. Torquato, Phase Diagram and Structural Diversity of the Densest Binary Sphere Packings, Physical Review Letters , 107, 125501 (2011).
  343. C. E. Zachary and S. Torquato, High-Dimensional Generalizations of the Kagome and Diamond Crystals and the Decorrelation Principle for Periodic Sphere Packings, Journal of Statistical Mechanics: Theory and Experiment, P10017 (2011).
  344. Y. Jiao and S. Torquato, Communication: A Packing of Truncated Tetrahedra That Nearly Fills All of Space and its Melting Properties, Journal of Chemical Physics, 135, 151101 (2011).
  345. Y. Jiao and S. Torquato, Maximally Random Jammed Packings of Platonic Solids: Hyperuniform Long-Range Correlations and Isostaticity, Physical Review E, 84, 041309 (2011).
  346. C. E. Zachary and S. Torquato, Improved reconstructions of random media using dilation and erosion processes, Physical Review E, 84, 056102 (2011).
  347. Y. Jiao, H. Berman, T-R. Kiehl and S. Torquato, Spatial Organization and Correlations of Cell Nuclei in Brain Tumors, PLoS ONE, 6, e27323 (2011).
  348. H. Cohn, Y. Jiao, A. Kumar and S. Torquato, Rigidity of Spherical Codes, Geometry and Topology, 15, 2235 (2011).
  349. Y. Jiao and S. Torquato, Emergent Behaviors From a Cellular Automaton Model for Invasive Tumor Growth in Heterogeneous Microenvironments, PLoS Computational Biology, 7, e1002314 (2011).

    2012

  350. S. Torquato, Effect of Dimensionality on the Continuum Percolation of Overlapping Hyperspheres and Hypercubes, Journal of Chemical Physics, 136, 054106 (2012).
  351. C. J. Gommes, Y. Jiao, and S. Torquato, Density of States for a Specified Correlation Function and the Energy Landscape, Physical Review Letters, 108, 080601 (2012).
  352. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Densest Binary Sphere Packings, Physical Review E, 85, 021130 (2012).
  353. G. W. Scherer, J. Zhang, J. A. Quintanilla, and S. Torquato, Hydration and Percolation at the Setting Point, Cement and Concrete Research, 42, 665 (2012).
  354. Y. Jiao and S. Torquato, Diversity of Dynamics and Morphologies of Invasive Solid Tumors, AIP Advances, 2, 011003 (2012).
  355. C. J. Gommes, Y. Jiao, and S. Torquato, Microstructural Degeneracy Associated with a Two-Point Correlation Function and its Information Content, Physical Review E, 85, 051140 (2012).
  356. Y. Jiao and S. Torquato, Quantitative Characterization of the Microstructure and Transport Properties of Biopolymer Networks, Physical Biology, 9, 036009 (2012).
  357. S. Torquato and Y. Jiao, Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes are Created Equal, Physical Review E, 86, 011102 (2012).
  358. S. Torquato and Y. Jiao, Effect of Dimensionality on the Continuum Percolation of Overlapping Hyperspheres and Hypercubes. II. Simulation Results and Analyses, Journal of Chemical Physics, 137, 074106 (2012).
  359. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Nonequilibrium Static Diverging Length Scales on Approaching a Prototypical Model Glassy State, Physical Review E, 86, 021505 (2012).
  360. S. Atkinson, Y. Jiao, and S. Torquato, Maximally Dense Packings of Two-Dimensional Convex and Concave Noncircular Particles, Physical Review E, 86, 031302 (2012).
  361. R. Gabbrielli, Y. Jiao, and S. Torquato, Families of Tessellations of Space by Elementary Polyhedra via Retessellations of Face-Centered-Cubic and Related Tilings, Physical Review E, 86, 041141 (2012).

    2013

  362. É. Marcotte, F. H. Stillinger, and S. Torquato, Nonequilibrium Static Growing Length Scales in Supercooled Liquids on Approaching the Glass Transition, Journal of Chemical Physics, 138, 12A508 (2013).
  363. É. Marcotte, F. H. Stillinger, and S. Torquato, Designed Diamond Ground State via Optimized Isotropic Monotonic Pair Potentials, Journal of Chemical Physics, 138, 061101 (2013).
  364. S. Martis, É. Marcotte, F. H. Stillinger, and S. Torquato, Exotic Ground States of Directional Pair Potentials via Collective-Density Variables, Journal of Statistical Physics, 150, 414 (2013).
  365. S. Torquato and Y. Jiao, Effect of Dimensionality on the Percolation Threshold of Overlapping Nonspherical Hyperparticles, Physical Review E, 87, 022111 (2013).
  366. S. Torquato and Y. Jiao, Effect of Dimensionality on the Percolation Thresholds of Various d-Dimensional Lattices, Physical Review E, 87, 032149 (2013).
  367. M. Florescu, P. J. Steinhardt, and S. Torquato, Optical Cavities and Waveguides in Hyperuniform Disordered Photonic Solids, Physical Review B, 87, 165116 (2013).
  368. Y. Jiao and S. Torquato, Evolution and Morphology of Microenvironment-Enhanced Malignancy of Three-Dimensional Invasive Solid Tumors, Physical Review E, 87, 052707 (2013).
  369. É. Marcotte and S. Torquato, Efficient Linear Programming Algorithm to Generate the Densest Lattice Sphere Packings, Physical Review E, 87, 063303 (2013).
  370. M. Hejna, P. J. Steinhardt, and S. Torquato, Nearly Hyperuniform Network Models of Amorphous Silicon, Physical Review B, 87, 245204 (2013).
  371. R. Xie, G. G. Long, S. J. Weigand, S. C. Moss, T. Carvalho, S. Roorda, M. Hejna, S. Torquato, and P. J. Steinhardt, Hyperuniformity in Amorphous Silicon Based on the Measurement of the Infinite-Wavelength Limit of the Structure Factor, Proceedings of the National Academy of Sciences, 110, 13250 (2013).
  372. W. Man, M. Florescu, K. Matsuyama, P. Yadak, G. Nahal, S. Hashemizad, E. Williamson, P. Steinhardt, S. Torquato, and P. Chaikin, Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast, Optics Express, 21, 19972 (2013).
  373. A. B. Hopkins, F. H. Stillinger, and S. Torquato, Disordered Strictly Jammed Binary Sphere Packings Attain an Anomalously Large Range of Densities, Physical Review E, 88, 022205 (2013).
  374. W. Man, M. Florescu, E. P. Williamson, Y. He, S. R. Hashemizad, B. Y. C. Leung, D. R. Liner, S. Torquato, P. Chaikin, and P. Steinhardt, Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids, Proceedings of the National Academy of Sciences, 110, 15886 (2013).
  375. R. A. DiStasio, Jr., É. Marcotte, R. Car, F. H. Stillinger, and S. Torquato, Designer Spin Systems via Inverse Statistical Mechanics, Physical Review B, 88, 134104 (2013).
  376. G. Zhang, F. H. Stillinger, and S. Torquato, Probing the Limitations of Isotropic Pair Potentials to Produce Ground-State Structural Extremes via Inverse Statistical Mechanics, Physical Review E, 88, 042309 (2013).
  377. G. Zhang and S. Torquato, Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation, Physical Review E, 88, 053312 (2013).
  378. É. Marcotte, R. A. DiStasio, Jr., F. H. Stillinger, and S. Torquato, Designer Spin Systems via Inverse Statistical Mechanics. II. Ground-state Enumeration and Classification, Physical Review B, 88, 184432 (2013).
  379. S. Atkinson, F. H. Stillinger, and S. Torquato, Detailed Characterization of Rattlers in Exactly Isostatic, Strictly Jammed Sphere Packings, Physical Review E, 88, 062208 (2013).
  380. Y. Kallus, É. Marcotte, and S. Torquato, Jammed Lattice Sphere Packings, Physical Review E, 88, 062151 (2013).

    2014

  381. R. Gabbrielli, Y. Jiao, and S. Torquato, Dense Periodic Packings of Tori, Physical Review E, 89, 022133 (2014).
  382. Y. Jiao, T. Lau, H. Haztzikirou, M. Meyer-Hermann, J. C. Corbo, and S. Torquato, Avian Photoreceptor Patterns Represent a Disordered Hyperuniform Solution to a Multiscale Packing Problem, Physical Review E, 89, 022721 (2014).
  383. E. Guo, N. Chawla, T. Jing, S. Torquato, and Y. Jiao, Accurate Modeling and Reconstruction of Three-Dimensional Percolating Filamentary Microstructures from Two-Dimensional Micrographs via Dilation-Erosion Method, Materials Characterization, 89, 33 (2014).
  384. D. Chen, Y. Jiao, and S. Torquato, Equilibrium Phase Behavior and Maximally Random Jammed State of Truncated Tetrahedra, Journal of Physical Chemistry B, 118, 7981 (2014).
  385. H. Liasneuski, D. Hlushkou, S. Khirevich, A. Höltzel, U. Tallarek, and S. Torquato, Impact of Microsctructure on the Effective Diffusivity in Random Packings of Hard Spheres, Journal of Applied Physics, 116, 034904 (2014).
  386. Y. Kallus and S. Torquato, Marginal Stability in Jammed Packings: Quasicontacts and Weak Contacts, Physical Review E, 90, 022114 (2014).



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