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).
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).
S. Torquato, Theory of Random Heterogeneous
Materials, in Handbook of Materials
Modeling, Edited by Sidney Yip, Springer-Verlag,
New York (2005).
S. Torquato, Microstructure Optimization,
in Handbook of Materials Modeling, Edited
by Sidney Yip, Springer-Verlag, New York (2005).
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).
S. Torquato and G. Stell, An Equation for the
Latent Heat of Vaporization, Industrial
and Engineering Chemistry Fundamentals, 21, 202
(1982).
S. Torquato and G. Stell, Microstructure of
Two-Phase Random Media. I. The n-Point
Probability Functions, Journal of Chemical Physics,
77, 2071 (1982).
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).
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).
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).
S. Torquato and P. Smith, Latent Heat of
Vaporization of a Widely Diverse Class of Fluids,
Journal of Heat Transfer, 106, 252 (1984).
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).
S. Torquato and F. Lado Characterization of the
Microstructure of Distributions of Rigid Rods and Disks in
a Matrix, Journal of Physics A: Mathematics \&
General, 18, 141 (1985).
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).
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).
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).
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).
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).
S. Torquato, Effective Electrical Conductivity
of Two-Phase Disordered Composite Media, Journal of
Applied Physics, 58, 3790 (1985).
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).
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).
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).
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, 6248 (1986).
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).
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).
S. Torquato, Interfacial Surface Statistics
Arising in Diffusion and Flow Problems in Porous Media,
Journal of Chemical Physics, 85, 4622
(1986).
J. D. Beasley and S. Torquato, Bounds on the
Conductivity of Suspensions of Impenetrable
Spheres, Journal of Applied Physics, 60,
3576 (1986).
S. Torquato, Two-Point Distribution Function for
a Dispersion of Impenetrable Spheres in a Matrix,
Journal of Chemical Physics, 85, 6248
(1986).
S. Torquato, Concentration Dependence of
Diffusion-Controlled Reactions Among Static Reactive Sinks,
Journal of Chemical Physics, 85, 7178
(1986).
S. Torquato, Microstructure Characterization and
Bulk Properties of Disordered Two-Phase Media,
Journal of Statistical Physics, 45, 843
(1986).
S. Torquato and J. D. Beasley, Bounds on the
Permeability of a Random Array of Partially Penetrable
Spheres, Physics of Fluids, 30, 633
(1987).
S. Torquato, Bounds on the Thermal Conductivity
of Disordered Heterogeneous Media, Proceedings of the
1987 ASME/JSME Thermal Engineering Conference,
2, 359 (1987).
S. Torquato, Characterization of the
Microstructure of Disordered Media: A Unified Approach,
Physical Review B, 35, 5385 (1987).
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).
S. Torquato, Transport Properties of Disordered
Composite Materials from the Microstructure, 6th
International Conference on Composite Materials,
London, England, Vol. 4, 302 (1987).
P. M. Richards and S. Torquato, Upper and Lower
Bounds for the Rate of Diffusion-Controlled Reactions,
Journal of Chemical Physics, 87, 4612
(1987).
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).
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).
S. Torquato, Thermal Conductivity of Disordered
Heterogeneous Media from the Microstructure, Reviews
in Chemical Engineering, 4, 151 (1987).
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).
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).
S. Torquato, J. D. Beasley, and Y. C. Chiew,
Two-Point Cluster Function for Continuum
Percolation, Journal of Chemical Physics,
88, 6540 (1988).
J. Rubinstein and S. Torquato, Diffusion-
Controlled Reactions: Mathematical Formulation,
Variational Principles, and Rigorous Bounds,
Journal of Chemical Physics, 88,
6372 (1988).
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).
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).
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).
A. K. Sen and S. Torquato, Series Expansions for
Clustering in Continuum- Percolation Models with
Interactions, Journal of Chemical Physics,
89, 3799 (1988).
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).
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).
S. Torquato and J. Rubinstein,
Diffusion-Controlled Reactions. II. Further Bounds on
the Rate Constant, Journal of Chemical Physics,
90, 1644 (1989).
J. D. Beasley and S. Torquato, New Bounds on the
Permeability of a Random Array of Spheres, Physics of
Fluids A, 1, 199 (1989).
A. K. Sen and S. Torquato, Effective Electrical
Conductivity of Two-Phase Disordered Anisotropic Composite
Media, Physical Review B, 39, 4504
(1989).
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).
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).
J. Rubinstein and S. Torquato, Flow in
Random Porous Media: Mathematical Formulation,
Variational Principles and Rigorous Bounds, Journal
of Fluid Mechanics, 206, 25 (1989).
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).
C. A. Miller and S. Torquato,
Diffusion-Controlled Reactions Among Spherical Sinks:
Effect of Polydispersivity in Sink Size,
Physical Review B, 39, 7101 (1989).
S. Torquato and I. C. Kim, An Efficient
Simulation Technique to Compute Effective Properties of
Heterogeneous Media, Applied Physics Letters,
55, 1847 (1989).
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).
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).
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).
D. Coker, S. Torquato, and J. Dunsmuir Morphological and Physical
Properties of Fountainebleu Sandstone from Tomographic Analysis,
Journal of Geophysical Research, 101, 17497 (1996).
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).
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).
L. V. Gibiansky and S. Torquato, Rigorous Connection Between Physical
Properties of Porous Rocks, Journal of Geophysical
Research (Solid Earth), 103, 23911 (1998).
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).
