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Computational Design of Anisotropic Stealthy Hyperuniform Composites with Engineered Directional Scattering Properties
Wenlong Shi, David Keeney, Duyu Chen +2
Disordered hyperuniform materials are an emerging class of exotic amorphous states of matter that endow them with singular physical properties. Here, we generalize the Fourier-spac…
Extraordinary Disordered Hyperuniform Multifunctional Composites
Salvatore Torquato
A variety of performance demands are being placed on material systems, including desirable mechanical, thermal, electrical, optical, acoustic and flow properties. The purpose of th…
Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability
Haina Wang, Salvatore Torquato
The recently developed concept of spreadability, , provides a direct link between time-dependent diffusive transport and the microstructure of two-phase media acros…
Effective Elastic Wave Characteristics of Composite Media
J. Kim, S. Torquato
We derive exact expressions for effective elastodynamic properties of two-phase composites in the long-wavelength (quasistatic) regime via homogenized constitutive relations that a…
Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
Duyu Chen, Salvatore Torquato
Heterogeneous materials consisting of different phases are ideally suited to achieve a broad spectrum of desirable bulk physical properties by combining the best features of the co…
Improved reconstructions of random media using dilation and erosion processes
Chase E. Zachary, Salvatore Torquato
By using the most sensitive two-point correlation functions introduced to date, we reconstruct the microstructures of two-phase random media with heretofore unattained accuracy. Su…
A Superior Descriptor of Random Textures and Its Predictive Capacity
Yang Jiao, Sal Torquato, Frank H. Stillinger
Two-phase random textures abound in a host of contexts, porous and composite media, ecological structures, biological media and astrophysical structures. Questions surrounding the…
Novel Ground-State Crystals with Controlled Vacancy Concentrations: From Kagomé to Honeycomb to Stripes
Robert D. Batten, David A. Huse, Frank H. Stillinger +1
We introduce a one-parameter family, , of pair potential functions with a single relative energy minimum that stabilize a range of vacancy-riddled crystals as grou…
Negative Poisson's ratio materials via isotropic interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
We show that under tension, a classical many-body system with only isotropic pair interactions in a crystalline state can, counterintutively, have a negative Poisson's ratio, or au…
Negative thermal expansion in single-component systems with isotropic interactions
Mikael C. Rechtsman, Frank H. Stillinger, Salvatore Torquato
We have devised an isotropic interaction potential that gives rise to negative thermal expansion (NTE) behavior in equilibrium many-particle systems in both two and three dimension…
Modeling Heterogeneous Materials via Two-Point Correlation Functions: II. Algorithmic Details and Applications
Y. Jiao, F. H. Stillinger, S. Torquato
In the first part of this series of two papers, we proposed a theoretical formalism that enables one to model and categorize heterogeneous materials (media) via two-point correlati…
Effective Dielectric Tensor for Electromagnetic Wave Propagation in Random Media
Mikael C. Rechtsman, Salvatore Torquato
We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic c…
Modeling Heterogeneous Materials via Two-Point Correlation Functions: I. Basic Principles
Y. Jiao, F. H. Stillinger, S. Torquato
Heterogeneous materials abound in nature and man-made situations. Examples include porous media, biological materials, and composite materials. Diverse and interesting properties e…
Hypoconstrained Jammed Packings of Nonspherical Hard Particles: Ellipses and Ellipsoids
A. Donev, R. Connelly, F. H. Stillinger +1
Continuing on recent computational and experimental work on jammed packings of hard ellipsoids [Donev et al., Science, vol. 303, 990-993] we consider jamming in packings of smooth…
Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder"
A. Donev, S. Torquato, F. H. Stillinger +1
O'Hern, Silbert, Liu and Nagel [Phys. Rev. E. 68, 011306 (2003)] (OSLN) claim that a special point of a "jamming phase diagram" (in density, temperature, stress space) is relat…
A Linear Programming Algorithm to Test for Jamming in Hard-Sphere Packings
Aleksandar Donev, Salvatore Torquato, Frank H. Stillinger +1
Jamming in hard-particle packings has been the subject of considerable interest in recent years. In a paper by Torquato and Stillinger [J. Phys. Chem. B, 105 (2001)], a classificat…
Stochastic reconstruction of sandstones
C. Manwart, S. Torquato, R. Hilfer
A simulated annealing algorithm is employed to generate a stochastic model for a Berea and a Fontainebleau sandstone with prescribed two-point probability function, lineal path fun…