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Related papers: Fluid-solid phase-separation in hard-sphere mixtur…

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Reply to A. Louis Comment: Fluid-solid phase-separation in hard-sphere mixtures is unrelated to bond-percolation

Soft Condensed Matter · Physics 2009-10-31 Arnaud Buhot

Disagreement percolation connects a Gibbs lattice gas and i.i.d. site percolation on the same lattice such that non-percolation implies uniqueness of the Gibbs measure. This work generalises disagreement percolation to the hard-sphere model…

Probability · Mathematics 2019-07-02 Christoph Hofer-Temmel

In this paper, I relate the phase separation transition in binary hard-core mixtures in the limit of small size ratio to a bond percolation transition. It allows to estimate the critical packing fraction at the transition as a function of…

Statistical Mechanics · Physics 2009-10-31 Arnaud Buhot

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 prove that a system of particles in the plane, interacting only with a certain hard-core constraint, undergoes a fluid/solid phase transition.

Statistical Mechanics · Physics 2009-11-11 Lewis Bowen , Russell Lyons , Charles Radin , Peter Winkler

We discuss mixing/segregation phenomena in a schematic hard spheres lattice model for binary mixtures of granular media, by analytical evaluation, within Bethe-Peierls approximation, of Edwards' partition function. The presence of…

Statistical Mechanics · Physics 2007-05-23 M. Tarzia , A. Fierro , M. Nicodemi , M. Pica Ciamarra , A. Coniglio

We calculate for the first time the full phase-diagram of an asymmetric non-additive hard-sphere mixture. The non-additivity strongly affects the crystallization and the fluid-fluid phase-separation. The global topology of the phase-diagram…

Soft Condensed Matter · Physics 2009-10-31 A. A. Louis , R. Finken , J. P. Hansen

The phase diagram of a binary fluid mixture of highly asymmetric additive hard spheres is investigated. Demixing is analyzed from the exact low-density expansions of the thermodynamic properties of the mixture and compared with the…

Soft Condensed Matter · Physics 2007-05-23 C. F. Tejero , M. Lopez de Haro

The binodals and the non-ergodicity lines of a binary mixture of hard sphere-like particles with large size ratio are computed for studying the interplay between dynamic arrest and phase separation in depletion-driven colloidal mixtures.…

Soft Condensed Matter · Physics 2009-11-13 Ph. Germain , S. Amokrane

Using a fundamental measure density functional theory we investigate both bulk and inhomogeneous systems of the binary non-additive hard sphere model. For sufficiently large (positive) non-additivity the mixture phase separates into two…

Soft Condensed Matter · Physics 2010-07-30 Paul Hopkins , Matthias Schmidt

A possible approximate route to obtain the equation of state of the monodisperse hard-sphere system in the metastable fluid region from the knowledge of the equation of state of a hard-sphere mixture at high densities is discussed. The…

Soft Condensed Matter · Physics 2011-11-11 Andrés Santos , Santos B. Yuste , Mariano López de Haro

We consider the nature of the fluid-solid phase transition in a polydisperse mixture of hard spheres. For a sufficiently polydisperse mixture crystallisation occurs with simultaneous fractionation. At the fluid-solid boundary, a broad fluid…

Condensed Matter · Physics 2007-05-23 P. Bartlett

We show in numerical simulations that a system of two coupled replicas of a binary mixture of hard spheres undergoes a phase transition in equilibrium at a density slightly smaller than the glass transition density for an unreplicated…

Disordered Systems and Neural Networks · Physics 2014-03-03 G. Parisi , B. Seoane

For binary fluid mixtures of spherical particles in which the two species are sufficiently different in size, the dominant wavelength of oscillations of the pair correlation functions is predicted to change from roughly the diameter of the…

Statistical Mechanics · Physics 2016-05-04 Antonia Statt , Rattachai Pinchaipat , Francesco Turci , Robert Evans , C. Patrick Royall

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

Purely entropic systems such as suspensions of hard rods, platelets and spheres show rich phase behavior. Rods and platelets have successfully been used as models to predict the equilibrium properties of liquid crystals for several decades.…

Soft Condensed Matter · Physics 2015-06-16 T. Schilling , S. Dorosz , M. Radu , M. Mathew , S. Jungblut , K. Binder

A previously developed fundamental measure fucntional [J. Chem. Phys. vol.107, 6379 (1997)] is used to study the phase behavior of a system of parallel hard cubes. The single-component fluid exhibits a continuous transition to a solid with…

Soft Condensed Matter · Physics 2009-10-31 Y. Martinez-Raton , J. A. Cuesta

We investigate a phase separation instability that occurs in a system of nearly elastically colliding hard spheres driven by a thermal wall. If the aspect ratio of the confining box exceeds a threshold value, granular hydrostatics predict…

Soft Condensed Matter · Physics 2013-05-29 Baruch Meerson , Thorsten Poeschel , Pavel V. Sasorov , Thomas Schwager

Computer simulations of the fluid-to-solid phase transition in the hard sphere system were instrumental for our understanding of crystallization processes. But while colloid experiments and theory have been predicting the stability of…

Soft Condensed Matter · Physics 2020-05-29 Praveen K. Bommineni , Marco Klement , Michael Engel

We consider binary mixtures of soft repulsive spherical particles and calculate the depletion interaction between two big spheres mediated by the fluid of small spheres, using different theoretical and simulation methods. The validity of…

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