- ? Author to whom correspondence should be addressed. E-mail: torquato@matter.princeton.edu
- Frank H. Stillinger, Theoretical Chemist: A Tribute Frank Stillinger is one of the major figures of contemporary
- Computer generation of dense polydisperse sphere packings Anuraag R. Kansal
- Dense packings of polyhedra: Platonic and Archimedean solids S. Torquato1,2,3,4,5,6
- Journal of the Mechanics and Physics of Solids 51 (2003) 14591475
- PHYSICAL REVIEW E 83, 051309 (2011) Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally random
- Clustering properties of d-dimensional overlapping spheres J. Quintanilla* and S. Torquato
- Optimized monotonic convex pair potentials stabilize low-coordinated E. Marcotte,a
- Optimal Bounds on the Trapping Constant and Permeability of Porous Media S. Torquato* and D. C. Pham
- Princeton Center for Theoretical Science Directory Last First Location E-mail Phone Position at PCTS
- 2001 Blackwell Science Ltd. 115 Cell Prolif. 2001, 34, 115134
- VOLUME 77, NUMBER 20 P H Y S I C A L R E V I E W L E T T E R S 11 NOVEMBER 1996 Metastability and Crystallization in Hard-Sphere Systems
- J. Phys. A Math. Gen. 24 (1991) 3077-3093. Printed in the UK Sterically hindered fragmentation in reactive solids
- J.Stat.Mech.(2008)P11019 ournal of Statistical Mechanics
- Effective-medium approximation for composite media: Realizable single-scale dispersions
- PARTICLE PACKING PROBLEMS IN LOW SPACE DIMENSIONS
- J. Phys. A: Math. Gen. 30 (1997) L585L592. Printed in the UK PII: S0305-4470(97)84280-1 LETTER TO THE EDITOR
- Rigorous link between fluid permeability, electrical conductivity, and relaxation times for transport in porous media
- Microstructure of two-phase random media. V. The n-point matrix probability functions for impenetrable spheres
- Complete band gaps in two-dimensional photonic quasicrystals Marian Florescu,1,* Salvatore Torquato,2 and Paul J. Steinhardt2
- Diffusion-controlled reactions: Mathematical formulation, variational principles, and rigorous bounds
- gene encoding enhanced green fluorescent protein to the repressor gene, and quantify
- Quantification of order in the Lennard-Jones system Jeffrey R. Erringtona)
- Exact conditions on physically realizable correlation functions of random media
- Dark Matter 15-16 November 2010
- Lineal measures of clustering in overlapping particle systems J. Quintanilla* and S. Torquato
- NEW BOUNDS ON THE ELASTIC MODULI OF SUSPENSIONS OF SPHERES
- Effects of random link removal on the photonic band gaps of honeycomb networks
- Princeton Center for Theoretical Science The Princeton Center for Theoretical Science is dedicated to exploring the
- Princeton Center for Theoretical Science The Princeton Center for Theoretical Science is dedicated to exploring the
- Journal of Statistical Physics, Vol. 91, Nos. 3/4, 1998 First-Passage Percolation, Semi-Directed Bernoulli
- Annu. Rev. Mater. Res. 2002. 32:77111 doi: 10.1146/annurev.matsci.32.110101.155324
- Unusual Classical Ground States of Matter Salvatore Torquato
- JOURNAL OF COMPUTATIONAL PHYSICS 76, 176191 (1988) Computer Simulation Results for
- Effective energy of nonlinear elastic and conducting composites: Approximations and cross-property bounds
- Effective elastic and transport properties of regular honeycombs for all densities
- Broadening the appeal of the math major at Princeton DRAFT -Feb 7, 2001
- Erratum: "Toward the jamming threshold of sphere packings: Tunneled crystals" J. Appl. Phys. 102, 093511 ,,2007...
- Reformulation of the covering and quantizer problems as ground states of interacting particles S. Torquato*
- arXiv:1009.1443v1[cond-mat.stat-mech]8Sep2010 Reformulation of the Covering and Quantizer Problems as
- arXiv:1008.2982v1[cond-mat.stat-mech]17Aug2010 Jammed Hard-Particle Packings: From Kepler to Bernal
- Spherical codes, maximal local packing density, and the golden ratio
- Inverse optimization techniques for targeted self-assembly Salvatore Torquato*ab
- Trapping and flow among random arrays of oriented spheroidal inclusions C. A. Miller and I. C. Kim
- cm_-__l!!B PHYSICAB ELSEWIER Physica A 207 (1994) 79-91
- Negative Poisson's Ratio Materials via Isotropic Interactions Mikael C. Rechtsman,1
- Hard-sphere statistics along the metastable amorphous branch M. D. Rintoul and S. Torquato
- References for the Colloquium Talk "OPTIMAL PACKINGS: PROBLEMS FOR THE AGES"
- REDUCED STORAGE, QUASI-NEWTON TRUST REGION APPROACHES TO FUNCTION OPTIMIZATION
- ELSEVIER Physica A 207 (1994) 28-36 Transport and diffusion in three-dimensional composite
- Trapping constant, thermal conductivity, and the microstructure of suspensions of oriented spheroids
- Two-point matrix probability function for two-phase random media: Computer simulation results for impenetrable spheres
- Journal of Statistical Physics, Vol. 65, No. 5/6, 1991 Diffusion and Reaction among Traps
- Upper and lower bounds for the rate of diffusion-controlled reactions Peter M. Richards
- VOLUME 75, NUMBER 22 P H Y S I C A L R E V I E W L E T T E R S 27 NOVEMBER 1995 Effect of the Interface on the Properties of Composite Media
- Effective conductivity, dielectric constant, and diffusion coefficient of digitized composite media via first-passage-time equations
- S. Torquato Department of Mechanical and Aerospace
- Two-point distribution function for a dispersion of impenetrable spheres in a matrix
- Bounds on the conductivity of a suspension of random impenetrable spheres J. D. Beasley
- Method for obtaining upper bounds on photonic band gaps Mikael C. Rechtsman1 and Salvatore Torquato2,3,4,5
- Erratum: Dense packings of polyhedra: Platonic and Archimedean solids [Phys. Rev. E 80, 041104 (2009)]
- Princeton University Department of Chemistry
- Microstructure and conductivity of hierarchical laminate composites J. Quintanilla* and S. Torquato
- Reconstructing random media C. L. Y. Yeong and S. Torquato
- Growing heterogeneous tumors in silico Jana Gevertz1,* and S. Torquato1,2,3,4,5,
- New Conjectural Lower Bounds on the Optimal Density of Sphere Packings
- Optimal Design of Heterogeneous Materials
- J. Mech. Phys. Solids, Vol. 43, No. 10, pp. 1587-1613, 1995 Copyright 0 1995 Elsevier Science Ltd
- Effective conductivity of suspensions of hard spheres by Brownian motion simulation
- Mathematics and Sciences Department of Mathematics and PACM, Princeton University
- The Heterogeneous Multiscale Method: A , Bjorn Engquist2
- Statistical mechanical models with effective potentials: Definitions, applications, and thermodynamic consequences
- ? Author to whom correspondence should be addressed. E-mail: torquato@matter.princeton.edu
- S. Torquato Associate Professor.
- VOLUME 74, NUMBER 12 P H Y S I C A L R E V I E W L E T T E R S 20 MARCH 1995 Mean Nearest-Neighbor Distance in Random Packings of Hard D-Dimensional Spheres
- Interfacial surface statistics arising in diffusion and flow problems in porous media
- Concentration dependence of diffusion-controlled reactions among static reactive sinks
- Journal of Statistical Physics, Vol. 45, Nos. 5/6, 1986 Microstructure Characterization and Bulk Properties
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- Bulk properties of two-phase disordered media. IV. Mechanical properties of suspensions of penetrable spheres at nondilute concentrations
- Ehdk properties of composite media. I. Simplification of bounds on the shear modulus of suspensions of impenetrable spheres
- Bulk properties of composite media. U. Evaluation of bounds on the shear modulus of suspensions of impenetrable spheres
- Two-point cluster function for continuum percolation S. Torquato
- Porosity for the penetrable-concentric-shell model of two-phase disordered media: Computer simulation results
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- J.Fluid Me&. (1889),~ 0 1 .206, pp. 25-46 Printed in Great Britain
- Efficient simulation technique to compute effective properties of heterogeneous media
- J. Phys. A: Math. Gen. 23 (1990) L103-L107. Printed in the UK LElTER TO THE EDITOR
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- Physica A 167 (1990) 361-383 North-Holland
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- Improved bounds on elastic and transport properties of fiber-reinforced composites: Effect of polydispersivity in fiber radius
- Diffusion and geometric effects in passive advection by random arrays of vortices
- Trapping of finite-sized Brownian particles in porous media S. Torquato@
- Diffusion and reaction in heterogeneous media: Pore size distribution, relaxation times, and mean survival time
- Diffusion of finite-sized Brownian particles in porous media In Chan Kim
- Cross-property relatigS for momentum and diffusional transport in porous media
- Determining elastic behavior of composites by the boundary element method
- Effective conductivity of composites containing spheroidal inclusions: Comparison of simulations with theory
- Jo,trnal of Statistical Physics, VoL 78, Nos. 3/4, 1995 Exact Determination of the Two-Point
- Extraction of morphological quantities from a digitized medium David A. Coke$)lb) and Salvatore Torquato')
- J. Mech. Phys. Solids, Vol. 44, No. 2, pp. 233-242, 1996 Cowrieht n' 1996 Elsevier Science Ltd
- 0020-7225(95)00130-1 Int. J. Engng Sci. Vol.34. No. 7. pp. 739-76(I. 1996
- JOURNAL OF COLLOID AND INTERFACE SCIENCE 186, 467476 (1997) ARTICLE NO. CS964675
- Structural Optimization 13, 23-28 (~) Springer-Verlag 1997 Optimal design of 1-3 composite piezoelectrics
- J. Mech. Phys. Solids,Vol.45, No. 6, pp. 1037-1067, 1997 0 1997Else&r ScienceLtd
- J. Mech. Phyr. Solids, Vol. 45. No. 7, 1223 1252, 1997pp. 11,1997 Elsevier Saence Ltd
- VOLUME 79, NUMBER 4 P H Y S I C A L R E V I E W L E T T E R S 28 JULY 1997 Exact Expression for the Effective Elastic Tensor of Disordered Composites
- Electric-field fluctuations in random dielectric composites H. Cheng and S. Torquato
- J. Mech. Phys. Solids, Vol.45, No. 9, pp. 1421-1448, 1997 0 1997 ElsevierScienceLtd
- New approximation for the effective energy of nonlinear conducting Leonid Gibiansky and Salvatore Torquatoa)
- J[ Mech[ Phys[ Solids\ Vol[ 35\ No[ 7\ pp[ 03000339\ 0887 0887 Elsevier Science Ltd[ All rights reserved
- MOLECULAR PHYSICS, 1998, VOL. 95, NO. 2, 289 297 Free volume in the hard sphere liquid
- Electric-field distribution in composite media D. Cule and S. Torquato
- Local volume fraction fluctuations in periodic heterogeneous media J. Quintanillaa)
- Journal of the Mechanics and Physics of Solids 36 "0888# 04980431
- BioSystems 55 (2000) 119127 Cellular automaton of idealized brain tumor growth
- Nonequilibrium hard-disk packings with controlled orientational order Anuraag R. Kansal and Thomas M. Truskett
- Equation of state of the rigid disk fluid from its triangle distribution Frank H. Stillinger
- Generating microstructures with specified correlation functions Department of Chemical Engineering, Princeton University, Princeton, New Jersey 08544
- Iso-g(2) Processes in Equilibrium Statistical Mechanics Frank H. Stillinger,*,, Salvatore Torquato,,| Juan M. Eroles,,| and Thomas M. Truskett
- Optimal and manufacturable two-dimensional, Kagome-like cellular solids
- Equi-g,,r... sequence of systems derived from the square-well potential Department of Chemistry, Princeton University, Princeton, New Jersey 08544
- Optimal design of manufacturable three-dimensional composites with multifunctional characteristics
- Strong-contrast expansions and approximations for the effective conductivity of isotropic multiphase composites
- Jamming in hard sphere and disk packings Aleksandar Donev
- 10.1098/rspa.2003.1269 Minimal surfaces and multifunctionality
- Exactly realizable bounds on the trapping constant and permeability of porous media
- Manufacturable extremal low-dielectric, high-stiffness porous materials S. Torquatoa
- Global phase diagram for the honeycomb potential Antti-Pekka Hynninen and Athanassios Z. Panagiotopoulos
- Necessary Conditions on Realizable Two-Point Correlation Functions of Random S. Torquato*
- Journal of Theoretical Biology 243 (2006) 517531 Modeling the effects of vasculature evolution on early
- Configurational entropy of binary hard-disk glasses: Nonexistence of an ideal glass transition
- Classical disordered ground states: Super-ideal gases and stealth and equi-luminous materials
- Optimized Structures for Photonic Quasicrystals Mikael C. Rechtsman,1
- Statistical properties of determinantal point processes in high-dimensional Euclidean spaces Antonello Scardicchio*
- Mean survival times of absorbing triply periodic minimal surfaces Jana Gevertz1
- Designer disordered materials with large, complete photonic band gaps
- J.Stat.Mech.(2009)P12015 ournal of Statistical Mechanics
- Nonuniversality of density and disorder in jammed sphere packings Yang Jiao,1
- J. Fluid Mech. (2011), vol. 667, pp. 403425. c Cambridge University Press 2011 doi:10.1017/S0022112010004490
- IOP PUBLISHING PHYSICAL BIOLOGY Phys. Biol. 8 (2011) 015017 (22pp) doi:10.1088/1478-3975/8/1/015017
- www.rsc.org/softmatter Registered Charity Number 207890
- THE JOURNAL OF CHEMICAL PHYSICS 134, 164105 (2011) Unusual ground states via monotonic convex pair potentials
- Novel ground-state crystals with controlled vacancy concentrations: From kagome to honeycomb to stripes
- Can Disordered Sphere Packings Ever Be Maximally Dense?
- Random Heterogeneous Materials Microstructure and Macroscopic Properties
- "Random Heterogeneous Materials: Microstructure and Macroscopic Properties" by S. Torquato (Springer-Verlag, New York, 2002)
- 36 2: Microstructural Descriptors (x)-1 is a random variable with zero mean, and I(1)
- SIGN-IN INSTRUCTIONS FOR NEW MAJORS Department of Chemistry
- Search for Topological Phases New Frontiers in Low-Dimensional Systems Program
- Topological Insulators & Superconductors
- Princeton Center for Theoretical Science The Princeton Center for Theoretical Science is dedicated to exploring the
- PCTS Workshop Dark Matter: Direct Detection and Theoretical Developments
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- Princeton University Department of Chemical and Biological Engineering
- Department of Chemical and Biological Engineering
- Erratum: Designed interaction potentials via inverse methods for self-assembly [Phys. Rev. E 73, 011406 (2006)]
- Composites with extremal thermal expansion coefficients O. Sigmunda)
- IOP PUBLISHING PHYSICAL BIOLOGY Phys. Biol. 5 (2008) 036010 (10pp) doi:10.1088/1478-3975/5/3/036010
- Chord-length and free-path distribution functions for many-body systems Department of Mechanical and Aerospace Engineering, North Carolina State University,
- Multifunctional Composites: Optimizing Microstructures for Simultaneous Transport of Heat and Electricity
- Series expansions for clustering in continuum-percolation models with interactions
- Chord-distribution functions of three-dimensional random media: Approximate first-passage times of Gaussian processes
- Local density fluctuations, hyperuniformity, and order metrics Salvatore Torquato
- Physica A 342 (2004) 428446 www.elsevier.com/locate/physa
- Microstructure functions for a model of statistically inhomogeneous random media J. Quintanilla* and S. Torquato
- CLUSTERING IN A CONTINUUM PERCOLATION MODEL J. Quintanilla and S. Torquato, \Lambda Princeton University
- Vol. 7,No. 4/April 1990/J. Opt. Soc. Am. A 717 Photographic granularity: mathematical formulation and
- Designing composite microstructures with targeted properties S. Hyun and S. Torquatoa)
- Comments are short papers which criticize or correct papers of other authors previously published in the Physical Review. Each Comment should state clearly to which paper it refers and must be accompanied by a brief abstract. The same publication schedule
- Bulk properties of two-phase disordered media. II. Effective conductivity of a dilute dispersion of penetrable spheres
- [1] W. E and D. Li, "On the crystallization of 2D hexagonal lattices", Comm. Math. Phys., to appear. [2] W. E and D. Li, "The Andersen thermostat in molecular dynamics" Comm. Pure Appl. Math., to
- Physica A 301 (2001) 601619 www.elsevier.com/locate/physa
- Exact constructions of a family of dense periodic packings of tetrahedra S. Torquato1,2,3,4,5,6
- J. Mech. Phys. Solids, Vol.45,No. 5, 689-708,1997pp. 0 1997ElsevierScienceLtd
- Aspects of correlation function realizability Jenness Crawford, Salvatore Torquato,a)
- Optimal Lattice Packings of the Platonic and Archimedean Solids
- Erratum: computer generation of dense polydisperse sphere packings
- Estimates of the optimal density of sphere packings in high dimensions
- Packing, tiling, and covering with tetrahedra J. H. Conway* and S. Torquato
- Improved bounds on the effective conductivity of high-contrast suspensions
- Hyperuniform Long-Range Correlations are a Signature of Disordered Jammed Hard-Particle Packings
- Errata for Second Printing of "Random Heterogeneous Materials: Microstructure and Macroscopic Properties"
- Pair connectedness and mean cluster size for continuum-percolation models: Computer-simulation results
- Simulation of diffusion and trapping in digitized heterogeneous media David A. Coke@ and Salvatore Torquatob)
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- Universal scaling for diffusion-controlled reactions among traps S. Torquato and C. L. Y. Yeong
- Dense packings of the Platonic and Archimedean S. Torquato1,2,3,4,5
- Thermodynamic implications of confinement for a waterlike fluid Thomas M. Truskett and Pablo G. Debenedettia)
- Stochastic Hydrodynamics Department of Mathematics and
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- Stochastic reconstruction of sandstones C. Manwart,1
- A single-bond approach to orientation-dependent interactions and its implications for liquid water
- Bulk properties of two-phase disordered media. III. New bounds on the effective conductivity of dispersions of penetrable spheres
- PHYSICAL REVIEW E 83, 051133 (2011) Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform
- Percolation for a model of statistically inhomogeneous random media J. Quintanillaa)
- Generating random media from limited microstructural information via stochastic optimization
- Simulated properties of Kagomee and tetragonal truss core panels
- Local volume fraction fluctuations in random media J. Quintanillaa)
- Smart Mater. Struct. 8 (1999) 365379. Printed in the UK PII: S0964-1726(99)02176-X Design of smart composite materials
- Modeling of physical properties of composite materials S. Torquato*
- Effective conductivity of suspensions of overlapping spheres In Chan Kim
- Prediction of trapping rates in mixtures of partially absorbing spheres Anuraag R. Kansal
- Fluid permeabilities of triply periodic minimal surfaces and S. Torquato1,2,3,
- Computer simulations of dense hard-sphere systems M. D. Rintoul and S. Torquato
- Comment on ``Observations on an equation of state for water confined in narrow slit-pores'' J. Chem. Phys. 116, 2565 ,,2002...
- Gaussian core model phase diagram and pair correlations in high Euclidean dimensions
- J. Phys. A: Math. Gen. 33 (2000) L399L407. Printed in the UK PII: S0305-4470(00)12142-0 LETTER TO THE EDITOR
- Effective dielectric tensor for electromagnetic wave propagation in random M. C. Rechtsman1
- JOURNALOF GEOPHYSICALRESEARCH,VOL. 103,NO. B10,PAGES23,911-23,923,OCTOBER10,1998 Rigorous connection between physical properties of
- PHYSICAL REVIEW E 83, 051308 (2011) Hyperuniformity, quasi-long-range correlations, and void-space constraints in maximally
- Effective electrica~ conductivity of two-phase disordered composite media S. Torquato
- Matrix laminate composites: Realizable approximations for the effective moduli of piezoelectric dispersions
- A Novel Three-Phase Model of Brain Tissue Microstructure
- Reconstructing random media. II. Three-dimensional media from two-dimensional cuts C. L. Y. Yeong and S. Torquato
- Education and Innovation Enterprise and Engagement
- Robust algorithm to generate a diverse class of dense disordered and ordered sphere packings via linear programming
- THE JOURNAL OF CHEMICAL PHYSICS 135, 054104 (2011) Inherent structures for soft long-range interactions in two-dimensional
- Novel ground-state crystals with controlled vacancy concentrations: From kagome to honeycomb to stripes
- Exact Methods in Gauge/String Theories Friday, 11 November 2011
- PHYSICAL REVIEW E 84, 056102 (2011) Improved reconstructions of random media using dilation and erosion processes
- THE JOURNAL OF CHEMICAL PHYSICS 135, 151101 (2011) Communication: A packing of truncated tetrahedra that nearly fills
- Spatial Organization and Correlations of Cell Nuclei in Brain Tumors
- PHYSICAL REVIEW E 84, 041309 (2011) Maximally random jammed packings of Platonic solids: Hyperuniform long-range
- J.Stat.Mech.(2011)P10017 ournal of Statistical Mechanics
- Geometry & Topology 15 (2011) 22352273 2235 Rigidity of spherical codes
- PRINCETON UNIVERSITY FRICK CHEMISTRY LABORATORY
- Princeton University Department of Chemistry
- PHYSICAL REVIEW E 85, 021130 (2012) Densest binary sphere packings
- THE JOURNAL OF CHEMICAL PHYSICS 136, 054106 (2012) Effect of dimensionality on the continuum percolation of overlapping
- PHYSICAL REVIEW E 84, 069902(E) (2011) Erratum: Optimal packings of superballs [Phys. Rev. E 79, 041309 (2009)]
- Density of States for a Specified Correlation Function and the Energy Landscape C. J. Gommes,1,2,* Y. Jiao,2,
- Hydration and percolation at the setting point George W. Scherer a,
- Packing Nonspherical Particles: All Shapes Are Not Created Equal Salvatore Torquato
- Emergent Behaviors from a Cellular Automaton Model for Invasive Tumor Growth in Heterogeneous