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Related papers: Hard ellipses: Equation of state, structure and se…

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We introduce a density-functional formalism based on the Parsons-Lee and the generalized van der Waals theories in order to describe the thermodynamics of anisotropic particle systems with steric interactions. For ellipsoids of revolution,…

Soft Condensed Matter · Physics 2018-12-31 Eduardo dos S. Nascimento

We perform extensive molecular dynamics simulations of dense liquids composed of bidisperse dimer- and ellipse-shaped particles in 2D that interact via repulsive contact forces. We measure the structural relaxation times obtained from the…

Soft Condensed Matter · Physics 2015-06-05 Tianqi Shen , Carl Schreck , Bulbul Chakraborty , Denise E. Freed , Corey S. O'Hern

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

We perform event-driven molecular dynamics simulations of a system composed by uniaxial hard ellipsoids for different values of the aspect-ratio and packing fraction . We compare the molecular orientational-dependent structure factors…

Soft Condensed Matter · Physics 2012-07-06 Cristiano De Michele , Antonio Scala , Rolf Schilling , Francesco Sciortino

We examine the fluid phase behaviour of the binary mixture of hard superellipses using the scaled particle theory The superellipse is a general two dimensional convex object which can be tuned between circular and rectangular shapes…

Soft Condensed Matter · Physics 2020-09-02 Sakine Mizani , Peter Gurin , Roohollah Aliabadi , Hamdollah Salehi , Szabolcs Varga

We present several possibilities offered by the reaction dynamics of dissipative heavy ion collisions to study in detail the symmetry term of the nuclear equation of state, $EOS$. In particular we discuss isospin effects on the nuclear…

Nuclear Theory · Physics 2009-11-10 M. Di Toro , V. Baran , M. Colonna , A. Drago , T. Gaitanos , V. Greco , A Lavagno

Liquid crystal droplets are of great interest from physics and applications. Rigorous mathematical analysis is challenging as the problem involves harmonic maps (and in general the Oseen-Frank model), free interfaces and topological defects…

Analysis of PDEs · Mathematics 2020-09-25 Fanghua Lin , Changyou Wang

The scaled particle theory is developed for the description of thermodynamical properties of a mixture of hard spheres and hard spherocylinders. Analytical expressions for free energy, pressure and chemical potentials are derived. From the…

Soft Condensed Matter · Physics 2017-12-15 M. F. Holovko , M. V. Hvozd

In this work, we study the nematic-isotropic phase transition based on the dynamics of the Landau--De Gennes theory of liquid crystals. At the critical temperature, the Landau--De Gennes bulk potential favors the isotropic phase and nematic…

Analysis of PDEs · Mathematics 2021-07-28 Tim Laux , Yuning Liu

Experimental measurements of contact forces are limited to spheres and disks in three and two dimensions, making the evaluation of the shape effect and universality of force distributions and the comparison between experiments and theories…

Soft Condensed Matter · Physics 2021-10-22 Yinqiao Wang , Jin Shang , Yujie Wang , Jie Zhang

We investigate the orientational ordering and close-packing behavior of a quasi-one-dimensional (q1D) system of hard superellipses, where the centers of the particles are confined to a line, but they can rotate freely within a…

Soft Condensed Matter · Physics 2025-10-08 Sakineh Mizani , Martin Oettel , Péter Gurin , Szabolcs Varga

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

Elastic interactions arising from a difference of lattice spacing between two coherent phases can have a strong influence on the phase separation (coarsening) of alloys. If the elastic moduli are different in the two phases, the elastic…

Mathematical Physics · Physics 2015-06-26 P. Fratzl , O. Penrose , J. L. Lebowitz

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 develop the scaled particle theory to describe the thermodynamic properties and orientation ordering of a binary mixture of hard spheres (HS) and hard spherocylinders (HSC) confined in a disordered porous medium. Using this theory the…

Soft Condensed Matter · Physics 2019-02-12 M. Hvozd , T. Patsahan , M. Holovko

We introduce a novel algorithm to perform event-driven simulations of hard rigid bodies of arbitrary shape, that relies on the evaluation of the geometric distance. In the case of a monodisperse system of uniaxial hard ellipsoids,we perform…

Soft Condensed Matter · Physics 2009-11-13 Cristiano De Michele , Rolf Schilling , Francesco Sciortino

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

In this work the well-known Frenkel-Mulder phase diagram of hard ellipsoids of revolution [Mol. Phys. 55, 1171 (1985)] is revisited by means of replica exchange Monte Carlo simulations. The method provides good sampling of dense systems and…

Statistical Mechanics · Physics 2015-06-04 Gerardo Odriozola

We theoretically study the nematic ordering transition of rods that are able to elastically adjust their mutually excluded volumes. The model rods, which consist of a hard core surrounded by a deformable shell, mimic the structure of…

Soft Condensed Matter · Physics 2009-11-11 K. Shundyak , R. van Roij , P. van der Schoot

We study spreading dynamics of nematic liquid crystal droplets within the framework of the long-wave approximation. A fourth order nonlinear parabolic partial differential equation governing the free surface evolution is derived. The…

Fluid Dynamics · Physics 2013-07-19 Te-Sheng Lin , Lou Kondic , Uwe Thiele , Linda J. Cummings