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Related papers: Revisiting the phase diagram of hard ellipsoids

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In recent work we revisited the phase diagram of hard ellipsoids of revolution (spheroids) by means of replica exchange Monte Carlo simulations. This was done by setting random initial configurations, and allows to confirm the formation of…

Statistical Mechanics · Physics 2015-06-12 Gustavo Bautista-Carbajal , Arturo Moncho-Jordá , Gerardo Odriozola

We present a computer simulation study of the crystalline phases of hard ellipsoids of revolution. A previous study [Phys. Rev. E, \textbf{75}, 020402 (2007)] showed that for aspect ratios $a/b\ge 3$ the previously suggested stretched-fcc…

Statistical Mechanics · Physics 2015-05-13 M. Radu , P. Pfleiderer , T. Schilling

In this article we consider systems of parallel hard {\it superellipsoids}, which can be viewed as a possible interpolation between ellipsoids of revolution and cylinders. Superellipsoids are characterized by an aspect ratio and an exponent…

Soft Condensed Matter · Physics 2009-11-13 Yuri Martinez-Raton , Enrique Velasco

We implemented the replica exchange Monte Carlo technique to produce the equation of state of hard 1:5 aspect-ratio oblate ellipsoids for a wide density range. For this purpose, we considered the analytical approximation of the overlap…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 G. Odriozola , F. de J. Guevara-Rodríguez

We report the phase diagram of two-dimensional hard ellipses as obtained from replica exchange Monte Carlo simulations. The replica exchange is implemented by expanding the isobaric ensemble in pressure. The phase diagram shows four…

Soft Condensed Matter · Physics 2015-06-19 Gustavo Bautista-Carbajal , Gerardo Odriozola

Using isobaric Monte Carlo simulations, we map out the entire phase diagram of a system of hard cylindrical particles of length $L$ and diameter $D$, using an improved algorithm to identify the overlap condition between two cylinders. Both…

Soft Condensed Matter · Physics 2021-03-31 Joyce T. Lopes , Flavio Romano , Eric Grelet , Luis F. M. Franco , Achille Giacometti

We present a computer simulation study on the crystalline phases of hard ellipsoids of revolution. For aspect ratios greater than or equal to 3 the previously suggested stretched-fcc phase [D. Frenkel and B. M. Mulder, Mol. Phys. 55, 1171…

Soft Condensed Matter · Physics 2007-05-23 Patrick Pfleiderer , Tanja Schilling

We investigate, using Monte Carlo simulations, the phase diagram of a system of hard rectangles of size $m\times mk$ on a square lattice when the aspect ratio $k$ is a non-integer. The existence of a disordered isotropic phase, a nematic…

Statistical Mechanics · Physics 2015-05-29 Joyjit Kundu , R. Rajesh

The phase diagram of prolate and oblate particles in the restricted orientations approximation (Zwanzig model) is calculated. Transitions to different inhomogeneous phases (smectic, columnar, oriented, or plastic solid) are studied through…

Soft Condensed Matter · Physics 2009-11-10 Yuri Martinez-Raton

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

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

Entropically driven fluid-solid transitions in monodisperse, purely repulsive hard spheres (MPRHS) are well established in theory, simulation, and experiment for atomic and colloidal systems. For MPRHS, however, coexistence is usually…

Soft Condensed Matter · Physics 2025-12-22 J. Galen Wang , Umesh Dhumal , Monica E. A. Zakhari , Roseanna N. Zia

Hard spherocylinders (cylinders of length $L$ and diameter $D$ capped at both ends with two hemispheres) provide a suitable model for investigating entropy-driven, mesophase formations in real colloidal fluids that are composed of rigid…

Statistical Mechanics · Physics 2011-10-26 D. Costa , F. Micali , F. Saija , P. V. Giaquinta

The effect of out-of-plane orientational freedom on the orientational ordering properties of a monolayer of hard ellipsoids is studied using Parsons-Lee scaling approach and replica exchange Monte Carlo computer simulation. Prolate and…

The phase diagram of colloidal hard superballs, of which the shape interpolates between cubes and octahedra via spheres, is determined by free-energy calculations in Monte Carlo simulations. We discover not only a stable face-centered cubic…

Soft Condensed Matter · Physics 2012-08-21 Ran Ni , Anjan Prasad Gantapara , Joost de Graaf , René van Roij , Marjolein Dijkstra

The phase diagram of a system of monodispersed hard rectangles of size $m\times m k$ on a square lattice is numerically determined for $m=2,3$ and aspect ratio $k= 1,2,\ldots, 7$. We show the existence of a disordered phase, a nematic phase…

Statistical Mechanics · Physics 2014-05-19 Joyjit Kundu , R. Rajesh

We investigate fluids of dipolar hard particles by a certain variant of density-functional theory. The proper treatment of the long range of the dipolar interactions yields a contribution to the free energy which favors ferromagnetic order.…

Condensed Matter · Physics 2009-10-28 B. Groh , S. Dietrich

The stability of liquid crystal phases in presence of small amount of non-mesogenic impurities is of general interest for a large spectrum of technological applications and in the theories of binary mixtures. Starting from the known phase…

Soft Condensed Matter · Physics 2014-05-13 Carlos E. Alvarez , Martial Mazars

Monodisperse, purely repulsive, hard spheres (MPRHS) are an important model system for mechanistically exploring phase behavior in atomic systems and colloids. Since the 1940s, phase transitions in these systems have been obtained via…

Soft Condensed Matter · Physics 2025-11-05 J. Galen Wang , Umesh Dhumal , Monica E. A. Zakhari , Roseanna N. Zia

An important aspect of molecular fluids is the relation between orientation and translation parts of the two-particle correlations. Especially the detailed knowledge of the influence of orientation correlations is needed to explain and…

Soft Condensed Matter · Physics 2009-10-31 M. Letz , A. Latz
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