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Liquid-gas equilibrium is considered using the global isomorphism with the Ising-like (lattice gas) model. Such an approach assumes the existence of the order parameter in terms of which the symmetry of binodal is restored not only in the…

Soft Condensed Matter · Physics 2025-06-26 L. A. Bulavin , V. L. Kulinskii , A. M. Katts , A. M. Maslechko

A fluid in equilibrium in a finite volume $V$ with particle number $N$ at a density $\rho = N/V$ exceeding the onset density $\rho_f $ of freezing may exhibit phase coexistence between a crystalline nucleus and surrounding fluid. Using a…

Statistical Mechanics · Physics 2015-06-23 Antonia Statt , Peter Virnau , Kurt Binder

We consider particles in ${\Bbb R}^d, d \geq 2$, interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean field theory, valid when the interaction range becomes infinite, we prove rigorously…

Condensed Matter · Physics 2009-10-31 J. L. Lebowitz , A. E. Mazel , E. Presutti

Many materials containing colloids or polymers are polydisperse: They comprise particles with properties (such as particle diameter, charge, or polymer chain length) that depend continuously on one or several parameters. This review…

Soft Condensed Matter · Physics 2007-05-23 Peter Sollich

States of thermal equilibrium of an infinite system of interacting particles in a Euclidean space are studied. The particles bear 'unbounded' spins with a given symmetric a priori distribution. The interaction between the particles is…

Mathematical Physics · Physics 2015-05-12 Alexei Daletskii , Yuri Kondratiev , Yuri Kozitsky

In view of the notorious complexity of protein--protein interactions, simplified models of proteins treated as patchy particles offer a promising strategy to obtain insight into the mechanism of crystallization. Here we report…

Soft Condensed Matter · Physics 2019-10-16 Jens Glaser , Sharon C. Glotzer

We deduce the mixing-demixing phase diagram for binary liquid mixtures in an electric field for various electrode geometries and arbitrary constitutive relation for the dielectric constant. By focusing on the behavior of the liquid-liquid…

Soft Condensed Matter · Physics 2013-07-18 Jennifer Galanis , Yoav Tsori

We consider the practicalities of defining, simulating, and characterizing "Liquids" from a pedagogical standpoint based on atomistic computer simulations. For simplicity and clarity we study two-dimensional systems throughout. In addition…

Statistical Mechanics · Physics 2021-03-30 Karl P. Travis , William Graham Hoover , Carol Griswold Hoover , Amanda Bailey Hass

We consider particles in $\R^d, d \geq 2$ interacting via attractive pair and repulsive four-body potentials of the Kac type. Perturbing about mean field theory, valid when the interaction range becomes infinite, we prove rigorously the…

Condensed Matter · Physics 2015-06-25 J. L. Lebowitz , A. Mazel , E. Presutti

We study the thermodynamic behavior of nonpolar liquid mixtures in the vicinity of curved charged objects, such as electrodes or charged colloids. For small enough charge on the object, or equivalently, small potential, the…

Statistical Mechanics · Physics 2009-11-13 Gilad Marcus , Sela Samin , Yoav Tsori

The fluid - crystal equilibria of polydisperse mixtures of hard spheres have been studied by computer simulation of the solid phase and using an accurate equation of state for the fluid. A new scheme has been developed to evaluate the…

Statistical Mechanics · Physics 2007-05-23 N. G. Almarza , E. Enciso

A liquid can exist under conditions of thermodynamic stability or metastability within boundaries defined by the liquid-gas spinodal and the glass transition line. The relationship between these boundaries has been investigated previously…

Soft Condensed Matter · Physics 2009-11-11 S. S. Ashwin , Gautam I. Menon , Srikanth Sastry

We describe a simulation method for the accurate study of the equilibrium freezing properties of polydisperse fluids under the experimentally relevant condition of fixed polydispersity. The approach is based on the phase switch Monte Carlo…

Soft Condensed Matter · Physics 2009-11-13 Nigel B. Wilding

Systems of particles interacting via inverse-power law potentials have an invariance with respect to changes in length and temperature, implying a correspondence in the dynamics and thermodynamics between different `isomorphic' sets of…

Statistical Mechanics · Physics 2016-08-03 Thibaud Maimbourg , Jorge Kurchan

Many-body dissipative particle dynamics (MDPD) is a mesoscale method capable of reproducing liquid-vapour coexistence in a single simulation. Despite having been introduced more than a decade ago, this method remains broadly unexplored and,…

Chemical Physics · Physics 2019-02-25 Peter Vanya , Phillip Crout , Jonathan Sharman , James A. Elliott

A simple fluid, described by point-like particles interacting via the Lennard-Jones potential, is considered under confinement in a slit geometry between two walls at distance Lz apart for densities inside the vapor-liquid coexistence…

Soft Condensed Matter · Physics 2009-11-13 Katarzyna Bucior , Leonid Yelash , Kurt Binder

We study numerically and analytically a model of self-propelled polar disks on a substrate in two dimensions. The particles interact via isotropic repulsive forces and are subject to rotational noise, but there is no aligning interaction.…

Soft Condensed Matter · Physics 2014-02-24 Yaouen Fily , M. Cristina Marchetti

We find various asymptotic limits of universes containing two interacting fluids which interact and exchange energy. We study the finite-time singularities that may develop in these cosmologies and obtain the asymptotic behaviours of the…

General Relativity and Quantum Cosmology · Physics 2013-02-20 Spiros Cotsakis , Georgia Kittou

Computer simulations show that liquids of molecules with harmonic intramolecular bonds may have "pseudoisomorphic" lines of approximately invariant dynamics in the thermodynamic phase diagram. We demonstrate that these lines can be…

Soft Condensed Matter · Physics 2016-12-30 Andreas Elmerdahl Olsen , Jeppe C. Dyre , Thomas B. Schrøder

A system of active colloidal particles driven by harmonic potentials to oscillate about the vertices of a regular polygon, with hydrodynamic coupling between all particles, is described by a piece-wise linear model which exhibits various…

Statistical Mechanics · Physics 2013-05-30 Giovanni M. Cicuta , Enrico Onofri , Marco Cosentino Lagomarsino , Pietro Cicuta