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Related papers: Hard-body models of bulk liquid crystals

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Purely entropic systems such as suspensions of hard rods, platelets and spheres show rich phase behavior. Rods and platelets have successfully been used as models to predict the equilibrium properties of liquid crystals for several decades.…

Soft Condensed Matter · Physics 2015-06-16 T. Schilling , S. Dorosz , M. Radu , M. Mathew , S. Jungblut , K. Binder

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

We review recent progress in the theoretical description of anisotropic hard colloidal particles. The shapes considered range from rods and dumbbells to rounded cubes, polyhedra and to biaxial particles with arbitrary shape. Our focus is on…

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

Scaled particle theory for a binary mixture of hard discorectangles and for a binary mixture of hard rectangles is used to predict possible liquid-crystal demixing scenarios in two dimensions. Through a bifurcation analysis from the…

Soft Condensed Matter · Physics 2009-11-11 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

Anisotropic fluids appear in a diverse array of systems, from liquid-crystal displays to bacterial swarms, and are characterized by orientational order. Large colloidal particles immersed in such environments disturb the medium's…

Soft Condensed Matter · Physics 2025-01-03 Thomas G. J. Chandler , Saverio E. Spagnolie

Liquid crystals are synthetic and biological viscoelastic anisotropic soft matter materials that combine liquid fluidity with crystal anisotropy and find use in optical devices, sensor/actuators, lubrication, super-fibers. Frequently…

Soft Condensed Matter · Physics 2013-11-22 Ezequiel R. Soule , Alejandro D. Rey

Using the classical density functional theory of freezing and Monte Carlo computer simulations, we explore the liquid-crystalline phase behavior of hard rectangles on flat and cylindrical manifolds. Moreover, we study the effect of a static…

Soft Condensed Matter · Physics 2018-02-19 Christoph E. Sitta , Frank Smallenburg , Raphael Wittkowski , Hartmut Löwen

Many suspensions contain particles with complex shapes that are affected not only by hydrodynamics, but also by thermal fluctuations, internal kinematic constraints and other long-range non-hydrodynamic interactions. Modeling these systems…

Soft Condensed Matter · Physics 2025-07-31 Blaise Delmotte , Florencio Balboa Usabiaga

We present a scaled particle density functional study of two-dimensional binary mixtures of hard convex particles with one or both species being ellipses. In particular, we divide our study into two parts. The first part is devoted to the…

Soft Condensed Matter · Physics 2022-06-07 Yuri Martinez-Raton

Complex colloidal fluids, such as emulsions stabilized by complex shaped particles, play an important role in many industrial applications. However, understanding their physics requires a study at sufficiently large length scales while…

Soft Condensed Matter · Physics 2012-04-27 Florian Günther , Florian Janoschek , Stefan Frijters , Jens Harting

We determine the phase diagram for a generalisation of two-and three-dimensional hard spheres: a classical system with three-body interactions realised as a hard cut-off on the mean-square distance for each triplet of particles. Quantum…

Statistical Mechanics · Physics 2015-02-06 Tommaso Comparin , Sebastian C. Kapfer , Werner Krauth

We use numerical simulations to understand how random deviations from the ideal spherical shape affect the ability of hard particles to form fcc crystalline structures. Using a system of hard spheres as a reference, we determine the…

Soft Condensed Matter · Physics 2010-12-23 William L. Miller , Angelo Cacciuto

Using a version of density-functional theory which combines Onsager approximation and fundamental-measure theory for spatially nonuniform phases, we have studied the phase diagram of freely rotating hard rectangles and hard discorectangles.…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton , Enrique Velasco , Luis Mederos

Rigid bodies, made of smaller composite beads, are commonly used to simulate anisotropic particles with molecular dynamics or Monte Carlo methods. To accurately represent the particle shape and to obtain smooth and realistic effective pair…

Soft Condensed Matter · Physics 2024-02-20 B. Rusen Argun , Yu Fu , Antonia Statt

Using scaled-particle theory for binary mixtures of two-dimensional hard particles with rotational freedom, we analyse the stability of nematic phases and the demixing phase behaviour of a variety of mixtures, focussing on cases where at…

Soft Condensed Matter · Physics 2009-11-13 D. de las Heras , Y. Martinez-Raton , E. Velasco

We investigate the isotropic-to-nematic phase transition in systems of hard helical particles, using Onsager theory and Monte Carlo computer simulations. Motivation of this work resides in the ubiquity of the helical shape motif in many…

Soft Condensed Matter · Physics 2013-05-01 Elisa Frezza , Alberta Ferrarini , Hima Bindu Kolli , Achille Giacometti , Giorgio Cinacchi

Several physical systems in condensed matter have been modeled approximating their constituent particles as hard objects. The hard spheres model has been indeed one of the cornerstones of the computational and theoretical description in…

Computational Physics · Physics 2015-05-13 Cristiano De Michele

Hard helices can be regarded as a paradigmatic elementary model for a number of natural and synthetic soft matter systems, all featuring the helix as their basic structural unit: from natural polynucleotides and polypeptides to synthetic…

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

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