Monte Carlo simulation of two-dimensional hard ellipses

JA Cuesta, D Frenkel - Physical Review A, 1990 - APS
We report constant-pressure Monte Carlo simulations of a system of hard ellipses with
aspect ratios k= 2, 4, and 6. The results show three different phases: isotropic, nematic, and …

The hard ellipsoid-of-revolution fluid: I. Monte Carlo simulations

D Frenkel, BM Mulder - Molecular physics, 1985 - Taylor & Francis
We present the results of Monte Carlo simulations on a system of hard ellipsoids of
revolution with length-to-breadth ratios a/b= 3, 2· 75, 2, 1· 25 and b/a= 3, 2· 75, 2, 1· 25. We …

Phase diagram of hard ellipsoids of revolution

D Frenkel, BM Mulder, JP Mctague - Molecular Crystals and Liquid …, 1985 - Taylor & Francis
We present the results of Monte Carlo simulations of the equation of state of hard ellipsoids
of revolution with axial ratio's a/b= 3, 2.75, 2, 1.25, 0.8, 0.5, 0.3636 and 0.3333. We identify …

Evidence for algebraic orientational order in a two-dimensional hard-core nematic

D Frenkel, R Eppenga - Physical Review A, 1985 - APS
Abstract We present Monte Carlo simulations on a two-dimensional (2D) fluid of N infinitely
thin hard rods of length L (N≤ 3200). This system has an isotropic phase at low densities …

Phase diagram of two-dimensional hard ellipses

G Bautista-Carbajal, G Odriozola - The journal of chemical physics, 2014 - pubs.aip.org
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 …

Phase transitions of the classical hard‐ellipse system

J Vieillard‐Baron - The Journal of Chemical Physics, 1972 - pubs.aip.org
By Monte Carlo calculations in the canonical ensemble, we have studied some properties of
a twodimensional system of 170 long hard ellipses (whose axis ratio equals 6). This system …

Accurate calculation of isotropic-plastic and isotropic-nematic transitions in the hard-ellipsoid fluid

JF Marko - Physical review letters, 1988 - APS
A density-functional theory for the transitions from isotropic to plastic crystal and to nematic
fluid in a fluid of prolate hard ellipsoids is presented. Direct correlations are computed with a …

Phase diagram of a system of hard ellipsoids

D Frenkel, BM Mulder, JP McTague - Physical review letters, 1984 - APS
The phase diagram of a system of hard ellipsoids of revolution was investigated by means of
constant-pressure Monte Carlo simulation. Prolate as well as oblate ellipsoids were …

Phase diagram of a system of hard spherocylinders by computer simulation

JAC Veerman, D Frenkel - Physical review A, 1990 - APS
We report a computer-simulation study of the phase diagram of a system of hard
spherocylinders with aspect ratio L/D between 0 and 5. For L/D≤ 3 only isotropic liquid and …

Hard ellipses: Equation of state, structure, and self-diffusion

WS Xu, YW Li, ZY Sun, LJ An - The Journal of chemical physics, 2013 - pubs.aip.org
Despite their fundamental and practical interest, the physical properties of hard ellipses
remain largely unknown. In this paper, we present an event-driven molecular dynamics …