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Theoretical concepts in condensed matter physics are typically verified and also developed by exploiting computer simulations mostly in simple models. Predictions based on these usually isotropic models are often at odds with measurement…

Soft Condensed Matter · Physics 2020-11-13 K. Koperwas , A. Grzybowski , M. Paluch

We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry representing a deformation of the ideal…

Soft Condensed Matter · Physics 2013-01-28 Yoav Kallus , Veit Elser

In this work, we present a new computational approach to characterize and classify molecular packing in the solid states. The key idea is to project each neighboring molecule (or short contact) from the centered molecule into a unit sphere…

Materials Science · Physics 2025-06-06 Qiang Zhu , Weilun Tang , Shinnosuke Hattori

A theoretical model of shape-anisometric particles embedded in a cubic lattice is formulated for binary mixtures combining rod-like, plate-like and spherical particles. The model aims at providing a tool for the prediction and…

Soft Condensed Matter · Physics 2011-05-31 Stavros Peroukidis , Alexandros G. Vanakaras , Demetri J. Photinos

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

Column chromatography is an important process in downstream biopharmaceutical manufacturing that enables high-selectivity separation of proteins through various modalities, such as affinity, ion exchange, hydrophobic interactions, or a…

We present a phase-field model for simulating the solid-state dewetting of anisotropic crystalline films on non-planar substrates. This model exploits two order parameters to trace implicitly the crystal free surface and the substrate…

Mesoscale and Nanoscale Physics · Physics 2025-05-01 Emma Radice , Marco Salvalaglio , Roberto Bergamaschini

Sphere packings are essential to the development of physical models for powders, composite materials, and the atomic structure of the liquid state. There is a strong scientific need to be able to assess the fit of packing models to data,…

Methodology · Statistics 2009-10-31 Jeffrey Picka

Hard models for particle interactions have played a crucial role in the understanding of the structure of condensed matter. In particular, they help to explain the formation of oriented phases in liquids made of anisotropic molecules or…

Soft Condensed Matter · Physics 2015-06-22 Luis Mederos , Enrique Velasco , Yuri Martinez-Raton

Spherical particles confined to a sphere surface cannot pack densely into a hexagonal lattice without defects. In this study, we use hard particle Monte Carlo simulations to determine the effects of continuously deformable shape anisotropy…

Soft Condensed Matter · Physics 2026-01-01 Gabrielle N. Jones , Philipp W. A. Schönhöfer , Sharon C. Glotzer

We introduce a model system of anisotropic colloidal `rocks'. Due to their shape, the bonding introduced via non-absorbing polymers is profoundly different from spherical particles: bonds between rocks are rigid against rotation, leading to…

Soft Condensed Matter · Physics 2017-12-27 Rebecca Rice , Roland Roth , C. Patrick Royall

We have developed a symmetry-adapted modeling procedure for molecules and crystals. By using the completeness of multipoles to express spatial and time-reversal parity-specific anisotropic distributions, we can generate systematically the…

Materials Science · Physics 2023-05-12 Hiroaki Kusunose , Rikuto Oiwa , Satoru Hayami

Using particle-resolved molecular-dynamics simulations, we compute the phase diagram for soft repulsive spherocylinders confined on the surface of a sphere. While crystal (K), smectic (Sm), and isotropic (I) phases exhibit a stability…

Soft Condensed Matter · Physics 2025-11-03 Jaydeep Mandal , Hartmut Löwen , Prabal K. Maiti

We demonstrate that nascent polymer crystals (i.e., nuclei) are anisotropic entities, with neither spherical nor cylindrical geometry, in contrast to previous assumptions. In fact, cylindrical, spherical, and other high symmetry geometries…

Soft Condensed Matter · Physics 2020-01-08 Kyle Wm. Hall , Timothy W. Sirk , Simona Percec , Michael L. Klein , Wataru Shinoda

An ellipsoid, the simplest non-spherical shape, has been extensively used as models for elongated building blocks for a wide spectrum of molecular, colloidal and granular systems. Yet the densest packing of congruent hard ellipsoids, which…

Statistical Mechanics · Physics 2017-03-29 Weiwei Jin , Yang Jiao , Lufeng Liu , Ye Yuan , Shuixiang Li

We computed the phase diagram for a system of model anisotropic particles with six attractive patches in an octahedral arrangement. We chose to study this model for a relatively narrow value of the patch width where the lowest-energy…

Soft Condensed Matter · Physics 2013-06-26 E. G. Noya , C. Vega , J. P. K. Doye , A. A. Louis

From understanding the sand on the beach to the foam on your beer, soft sphere simulations have been crucial to the study of the amorphous world around us. However, many of the materials we interact with on a daily basis aren't comprised of…

Soft Condensed Matter · Physics 2024-03-18 R. C. Dennis

We present an experiment on crystallization of packings of macroscopic granular spheres. This system is often considered to be a model for thermally driven atomic or colloidal systems. Cyclically shearing a packing of frictional spheres, we…

Soft Condensed Matter · Physics 2018-02-07 Frank Rietz , Charles Radin , Harry L. Swinney , Matthias Schröter

The atmospheres of planets (including Earth) and the outer layers of stars have often been treated in radiative transfer as plane-parallel media, instead of spherical shells, which can lead to inaccuracy, e.g. limb darkening. We give an…

Statistical Mechanics · Physics 2009-11-11 Michael J. Caola
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