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Related papers: Freezing of Polydisperse Hard Spheres

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In this work we examine thermodynamics of fluid with "molecules" represented by two fused hard spheres, decorated by the attractive square-well sites. Interactions between these sites are of short-range and cause association between the…

Soft Condensed Matter · Physics 2016-03-24 M. Kastelic , Yu. V. Kalyuzhnyi , V. Vlachy

A novel supersolid phase is predicted for an ensemble of Rydberg atoms in the dipole-blockade regime, interacting via a repulsive dipolar potential "softened" at short distances. Using exact numerical techniques, we study the low…

Quantum Gases · Physics 2010-09-23 F. Cinti , P. Jain , M. Boninsegni , A. Micheli , P. Zoller , G. Pupillo

Monte-Carlo simulations and small-angle x-ray scattering experiments were used to determine the phase diagram of aqueous dispersions of titratable nano-colloids with a moderate size polydispersity over a broad range of monovalent salt…

Metastable liquid mixtures of parahydrogen and orthodeuterium are studied theoretically by means of computer simulations. No reduced propensity of the mixture to undergo crystallization is observed, compared to that of pure liquid…

Statistical Mechanics · Physics 2021-07-14 Massimo Boninsegni

We consider the mass heterogeneity in a gas of polydisperse hard particles as a key to optimizing a dynamical property: the kinetic relaxation rate. Using the framework of the Boltzmann equation, we study the long time approach of a…

Soft Condensed Matter · Physics 2015-06-17 Matthieu Barbier , Emmanuel Trizac

There is increasing evidence that entropy can induce microphase separation in binary fluid mixtures interacting through hard particle potentials. One such phase consists of alternating two dimensional liquid-like layers of rods and spheres.…

Soft Condensed Matter · Physics 2009-10-31 Z. Dogic , D. Frenkel , S. Fraden

We study the thermodynamic stability of fluid-fluid phase separation in binary nonadditive mixtures of hard-spheres for moderate size ratios. We are interested in elucidating the role played by small amounts of nonadditivity in determining…

Soft Condensed Matter · Physics 2011-10-25 G. Pellicane , F. Saija , C. Caccamo , P. V. Giaquinta

"Fluid polyamorphism" is the existence of different condensed amorphous states in a single-component fluid. It is either found or predicted, usually at extreme conditions, for a broad group of very different substances, including helium,…

We examine the thermodynamic limit of fluids of hard core particles that are polydisperse in size and shape. In addition, particles may interact magnetically. Free energy of such systems is a random variable because it depends on the choice…

Statistical Mechanics · Physics 2007-05-23 S. Banerjee , R. B. Griffiths , M. Widom

New proposals for the equation of state of four- and five-dimensional hard-hypersphere mixtures in terms of the equation of state of the corresponding monocomponent hard-hypersphere fluid are introduced. Such proposals (which are…

Soft Condensed Matter · Physics 2020-04-22 Mariano López de Haro , Andrés Santos , Santos B. Yuste

We investigate the liquid-solid transition of two dimensional hard spheres in the presence of gravity. We determine the transition temperature and the fraction of particles in the solid regime as a function of temperature via Even-Driven…

Condensed Matter · Physics 2009-10-31 Paul V. Quinn , Daniel C. Hong

A new phase field crystal (PFC) type theory is presented, which accounts for the full spectrum of solid-liquid-vapor phase transitions within the framework of a single density order parameter. Its equilibrium properties show the most…

Materials Science · Physics 2015-06-23 Gabriel Kocher , Nikolas Provatas

The collision dynamics of hard spheres and cylindrical pores is solved exactly, which is the minimal model for a regularly porous membrane. Nonequilibrium event-driven molecular dynamics simulations are used to show that the permeability…

Soft Condensed Matter · Physics 2021-04-23 Yue Yu , Kai Zhang

The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

The phase diagram of water harbours many mysteries: some of the phase boundaries are fuzzy, and the set of known stable phases may not be complete. Starting from liquid water and a comprehensive set of 50 ice structures, we compute the…

Statistical Mechanics · Physics 2021-01-27 Aleks Reinhardt , Bingqing Cheng

A `polydisperse' system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities…

Statistical Mechanics · Physics 2007-05-23 Peter Sollich , Michael E Cates

Hard spheres are an important benchmark of our understanding of natural and synthetic systems. In this work, colloidal experiments and Monte Carlo simulations examine the equilibrium and out-of-equilibrium assembly of hard spheres of…

Soft Condensed Matter · Physics 2022-05-03 Lin Fu , Ce Bian , C. Wyatt Shields , Daniela F. Cruz , Gabriel P. López , Patrick Charbonneau

We review the literature on scaled particle theory (SPT) and its extensions and discuss results applied to describe the thermodynamics of hard particle mixtures. After explaining the basic concepts of scaled particle theory to compute the…

Soft Condensed Matter · Physics 2025-07-01 Volodymyr Shmotolokha , Jonas Maier-Borst , Mark Vis , Anja Kuhnhold , Remco Tuinier

Although much is known about the metastable liquid branch of hard spheres--from low dimension $d$ up to ${d\to\infty}$--its crystal counterpart remains largely unexplored for $d>3$. In particular, it is unclear whether the crystal phase is…

Statistical Mechanics · Physics 2022-05-03 Patrick Charbonneau , Caitlin M. Gish , Robert S. Hoy , Peter K. Morse

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse
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