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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

The generalized van der Waals equation of state for anisotropic liquids in porous media consists of two terms.One of them is based on the equation of state for hard spherocylinders in random porous media obtained from the scaled particle…

Soft Condensed Matter · Physics 2015-09-02 Myroslav Holovko , Volodymyr Shmotolokha

We propose a method of describing a phase transition in a cell fluid model with pair interaction potential that includes repulsive and attractive parts. An exact representation of the grand partition function of this model is obtained in…

Statistical Mechanics · Physics 2017-06-23 M. P. Kozlovskii , O. A. Dobush

We study a three-dimensional system of particles interacting via spherically-symmetric pair potentials consisting of several discontinuous steps. We show that at certain values of the parameters desribing the potential, the system has three…

Soft Condensed Matter · Physics 2015-06-24 Sergey V. Buldyrev , H. Eugene Stanley

We investigate by molecular dynamics simulations a continuous isotropic core-softened potential with attractive well in three dimensions, introduced by Franzese [cond-mat/0703681, to appear on Journal of Molecular Liquids], that displays…

Statistical Mechanics · Physics 2009-10-22 Alan Barros de Oliveira , Giancarlo Franzese , Paulo A. Netz , Marcia C. Barbosa

By molecular dynamic simulations we study a system of particles interacting through a continuous isotropic pairwise core-softened potential consisting of a repulsive shoulder and an attractive well. The model displays a phase diagram with…

Soft Condensed Matter · Physics 2015-05-18 Pol Vilaseca , Giancarlo Franzese

We study the phase behaviour of a fluid composed of particles which interact via a pair potential that is repulsive for large inter-particle distances, is attractive at intermediate distances and is strongly repulsive at short distances…

Soft Condensed Matter · Physics 2008-09-17 A. J. Archer , C. Ionescu , D. Pini , L. Reatto

A series of phase diagrams is obtained for a smooth pair-potential with an outer well and a repulsive inner shoulder. Condensed phase coexistence curves are located using free-energy calculations. Liquid-vapour equilibria are obtained with…

Statistical Mechanics · Physics 2009-11-11 D. Quigley , M. I. J. Probert

The comprehensive computer simulation study of the phase diagram of the repulsive step potential system in three dimensions is represented. We show that the system with a simple purely repulsive isotropic potential demonstrates a number of…

Soft Condensed Matter · Physics 2007-05-23 Yu. D. Fomin , Daan Frenkel , N. V. Gribova , V. N. Ryzhov , S. M. Stishov

It is well known that some liquids can demonstrate anomalous behavior. Interestingly, this be- havior can be qualitatively reproduced with simple core-softened isotropic pair-potential systems. Although anomalous properties of liquids…

Statistical Mechanics · Physics 2015-07-15 Eu. A. Gaiduk , Yu. D. Fomin , V. N. Ryzhov , E. N. Tsiok , V. V. Brazhkin

In the present work we investigate a gas-liquid transition in a two-component Gaussian core model, where particles of the same species repel and those of different species attract. Unlike a similar transition in a one-component system with…

Soft Condensed Matter · Physics 2018-02-14 Derek Frydel , Yan Levin

Soft pair potentials predict a reentrant liquid phase for high concentrations, a behavior not observed experimentally. Here, very soft microgels confined at an oil-water interface are used as a model system of particles interacting via a…

This series of papers is devoted to identifying and explaining the properties of strongly correlating liquids, i.e., liquids with more than 90% correlation between their virial W and potential energy U fluctuations in the NVT ensemble.…

Soft Condensed Matter · Physics 2012-03-27 Thomas B. Schrøder , Nicoletta Gnan , Ulf R. Pedersen , Nicholas P. Bailey , Jeppe C. Dyre

Isotropic pair potentials that are bounded at the origin have been proposed from time to time as models of the effective interaction between macromolecules of interest in the chemical physics of soft matter. We present a thorough study of…

Soft Condensed Matter · Physics 2014-03-05 S. Prestipino , C. Speranza , G. Malescio , P. V. Giaquinta

Discovering novel emergent behavior in quantum many-body systems is a main objective of contemporary research. In this paper, we explore the effects on phases and phase transitions of the proximity to a Ruelle-Fisher instability, marking…

Statistical Mechanics · Physics 2024-09-12 Saverio Moroni , Fabio Cinti , Massimo Boninsegni , Giuseppe Pellicane , Santi Prestipino

Using Monte Carlo simulations we investigate some new aspects of the phase diagram and the behavior of the diffusion coefficient in an associating lattice gas (ALG) model on different regions of the phase diagram. The ALG model combines a…

Soft Condensed Matter · Physics 2015-05-13 Marcia M. Szortyka , Vera Henriques , Mauricio Girardi , Marcia C. Barbosa

A system of identical particles interacting through an isotropic potential that allows for two preferred interparticle distances is numerically studied. When the parameters of the interaction potential are adequately chosen, the system…

Condensed Matter · Physics 2009-10-31 E. A. Jagla

We prove the existence of a phase transition in dimension $d>1$ in a continuum particle system interacting with a pair potential containing a modified attractive Kac potential of range $\gamma^{-1}$, with $\gamma>0$. This transition is…

Mathematical Physics · Physics 2025-10-30 Qidong He , Ian Jauslin , Joel Lebowitz , Ron Peled

We investigate the phase behaviour of a two-dimensional colloidal model system of ultra-soft particles on a substrate which varies periodically along one spatial direction. Our calculations are based on mean-field density functional theory…

Soft Condensed Matter · Physics 2021-03-17 Alexander Kraft , Sabine H. L. Klapp

We examine the behavior of the diffusion coefficient of the ST2 model of water over a broad region of the phase diagram via molecular dynamics simulations. The ST2 model has an accessible liquid-liquid transition between low-density and…

Statistical Mechanics · Physics 2012-08-07 Peter H. Poole , Stephen R. Becker , Francesco Sciortino , Francis W. Starr