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We study an experimental system of hard granular squares in two dimensions, energized by vibration. The interplay of order in the orientations and positions of anisotropic particles allows for a rich set of phases. We measure the structure…

Soft Condensed Matter · Physics 2016-08-23 Lee Walsh , Narayanan Menon

We focus on the crystal lattice ideal orientations, also referred to as preferred or attractor orientations, in crystalline materials, and how they can be used to predict the final texture of polycrystals after manufacturing processes. The…

Materials Science · Physics 2026-02-18 Jalal Smiri , Oguz Umut Salman , Ioan R. Ionescu

Entropy alone can self-assemble hard particles into colloidal crystals of remarkable complexity whose structures are the same as atomic and molecular crystals, but with larger lattice spacings. Although particle-based molecular simulation…

Soft Condensed Matter · Physics 2021-07-06 Thi Vo , Sharon C. Glotzer

The interplay between densification and positional ordering during the process of crystal nucleation is a greatly investigated topic. Even for the simplest colloidal model -- hard spheres -- there has been much debate regarding the…

Soft Condensed Matter · Physics 2025-02-19 Marjolein de Jager , Nena Slaats , Laura Filion

Via mechanisms not accessible at equilibrium, self-propelled particles can form phases with positional order, such as crystals, and with orientational order, such as polar flocks. However, the interplay between these two types of order…

Soft Condensed Matter · Physics 2025-08-13 Till Welker , Ricard Alert

Entropy drives the phase behavior of colloids ranging from dense suspensions of hard spheres or rods to dilute suspensions of hard spheres and depletants. Entropic ordering of anisotropic shapes into complex crystals, liquid crystals, and…

Soft Condensed Matter · Physics 2014-11-26 Greg van Anders , Daphne Klotsa , N. Khalid Ahmed , Michael Engel , Sharon C. Glotzer

Depletion interactions arise from entropic forces, and their ability to induce aggregation and even ordering of colloidal particles through self-assembly is well established, especially for spherical colloids. We vary the size and…

Soft Condensed Matter · Physics 2016-03-15 Andrew S. Karas , Jens Glaser , Sharon C. Glotzer

Freezing of charged colloids on square or triangular two-dimensional periodic substrates has been recently shown to realize a rich variety of orientational orders. We propose a theoretical framework to analyze the corresponding structures.…

Statistical Mechanics · Physics 2009-11-10 R. Agra , F. van Wijland , E. Trizac

To study how geometrical shape affect the light scattering properties for an ensemble of randomly orientated particles, the single scattering matrices including complete polarization information are calculated statistically for a group of…

Atmospheric and Oceanic Physics · Physics 2026-04-13 Quan Mu

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

Particle shape is a critical parameter that plays an important role in self-assembly, for example, in designing targeted complex structures with desired properties. In the last decades an unprecedented range of monodisperse nanoparticle…

Soft Condensed Matter · Physics 2015-01-13 Hanumantha Rao Vutukuri , Arnout Imhof , Alfons van Blaaderen

The shape of crystalline nanoparticles (NP) can often be described by polyhedra with flat facet surfaces. Thus, structural studies of polyhedral bodies can help to describe geometric details of NPs. Here we consider compact polyhedra of…

Mesoscale and Nanoscale Physics · Physics 2023-07-24 Klaus E. Hermann

We implement molecular dynamics simulations in canonical ensemble to study the effect of confinement on a $2d$ crystal of point particles interacting with an inverse power law potential proportional to $r^{-12}$ in a narrow channel. This…

Soft Condensed Matter · Physics 2014-09-30 M. Ebrahim Foulaadvand , Neda Ojaghlou

Orientational and positional ordering properties of liquid crystal monolayers are examined by means of Fundamental-Measure Density Functional Theory. Particles forming the monolayer are modeled as hard parallelepipeds of square section of…

Soft Condensed Matter · Physics 2015-06-19 Yuri Martinez-Raton , Szabolcs Varga y Enrique Velasco

Systems of hard nonspherical particles exhibit a variety of stable phases with different degrees of translational and orientational order, including isotropic liquid, solid crystal, rotator and a variety of liquid crystal phases. In this…

Soft Condensed Matter · Physics 2014-07-23 Duyu Chen , Yang Jiao , Salvatore Torquato

Soft particles such as microgels and core-shell particles can undergo significant and anisotropic deformations when adsorbed to a liquid interface. This, in turn, leads to a complex phase behavior upon compression. Here we develop a…

Using molecular dynamics simulation with an angle-dependent Lennard-Jones potential, we study orientational glass with quadrupolar symmetry in mixtures of elliptic particles and circular impurities in two dimensions. With a mild aspect…

Soft Condensed Matter · Physics 2015-07-24 Kyohei Takae , Akira Onuki

Polyhedra and their arrangements have intrigued humankind since the ancient Greeks and are today important motifs in condensed matter, with application to many classes of liquids and solids. Yet, little is known about the thermodynamically…

Soft Condensed Matter · Physics 2012-01-25 Pablo F. Damasceno , Michael Engel , Sharon C. Glotzer

We investigate the phase ordering (pattern formation) of systems of two-dimensional core-shell particles using Monte-Carlo (MC) computer simulations and classical density functional theory (DFT). The particles interact via a pair potential…

Soft Condensed Matter · Physics 2024-10-01 Michael Wassermair , Gerhard Kahl , Roland Roth , Andrew J. Archer

We propose a framework to model elastic properties of polycrystals by coupling crystal orientational degrees of freedom with elastic strains. Our model encodes crystal symmetries and takes into account explicitly the strain compatibility…

Materials Science · Physics 2009-11-07 Rajeev Ahluwalia , Turab Lookman , Avadh Saxena