Our research group is based at Princeton
University in the
Department of Chemistry,
Princeton Institute for the Science and Technology of Materials, and the Princeton Center for Theoretical
Science. We also have affiliations with three other departments
Applied and Computational Mathematics,
and Mechanical &
Aerospace Engineering. Research work in the group is centered in statistical mechanics and soft condensed matter theory.
Topics of current interest include unusual low-temperature states of matter, packing problems, structure and bulk properties of colloids, liquids, glasses, quasicrystals and crystals, hyperuniform disordered materials, novel photonic materials, discrete geometry, self-assembly theory, disordered heterogeneous materials, optimization in materials science, and modeling the dynamics of tumor growth:
Recent News From the Group
- July 16th, 2014: Impact of Microsctructure on the Effective Diffusivity in Random Packings of Hard Spheres is published in the Journal of Applied Physics.
- April 9th, 2014: Equilibrium Phase Behavior and Maximally Random Jammed State of Truncated Tetrahedra is published in Journal of Physical Chemistry B.
- March 18th, 2014: Accurate Modeling and Reconstruction of Three-Dimensional Percolating Filamentary Microstructures from Two-Dimensional Micrographs via Dilation-Erosion Method is published in Materials Characterization.
- February 24th, 2014: Avian Photoreceptor Patterns Represent a Disordered Hyperuniform Solution to a Multiscale Packing Problem is published in Physical Review E. See a recent article in the popular press entitled "In the Eye of a Chicken, a New State of Matter Comes Into View" and additional general information about hyperuniformity and photoreceptors. See also a YouTube video about the discovery.
- February 24th, 2014: Dense Periodic Packings of Tori is published in Physical Review E and is chosen as an Editor's Suggestion.
- January 6th, 2014: Detailed Characterization of Rattlers in Exactly Isostatic, Strictly Jammed Sphere Packings has been selected to appear in the December 2013 Kaleiodoscope in Physical Review E.
- December 31st, 2013: Jammed Lattice Sphere Packings is published in Physical Review E.
- December 23rd, 2013: Detailed Characterization of Rattlers in Exactly Isostatic, Strictly Jammed Sphere Packings is published in Physical Review E.
- December 20th, 2013: A New Tool to Help Mathematicians Pack is published in Quanta Magazine in which Professor Torquato is quoted.
- November 27th, 2013: Designer Spin Systems via Inverse Statistical Mechanics. II. Ground-state Enumeration and Classification is published in Physical Review B.
- November 25th, 2013: Precise Algorithm to Generate Random Sequential Addition of Hard Hyperspheres at Saturation is published in Physical Review E.
- October 23rd, 2013: Probing the Limitations of Isotropic Pair Potentials to Produce Ground-State Structural Extremes via Inverse Statistical Mechanics is published in Physical Review E.
- October 14th, 2013: Designer Spin Systems via Inverse Statistical Mechanics is published in Physical Review B and is chosen as an Editor's Suggestion.
- October 1st, 2013: Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids is published in Proceedings of the National Academy of Sciences.
- August 30th, 2013: Disordered Strictly Jammed Binary Sphere Packings Attain an Anomalously Large Range of Densities is published in Physical Review E.
- August 21st, 2013: Photonic band gap in isotropic hyperuniform disordered solids with low dielectric contrast is published in Optics Express.
- August 2nd, 2013: Hyperuniformity in Amorphous Silicon Based on the Measurement of the Infinite-Wavelength Limit of the Structure Factor is published in Proceedings of the National Academy of Sciences.