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Related papers: Optimal packing of polydisperse hard-sphere fluids…

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The effect of polydispersity on the freezing transition of hard spheres is examined within a moment description. At low polydispersities a single fluid-to-crystal transition is recovered. With increasing polydispersity we find a density…

Soft Condensed Matter · Physics 2007-05-23 Paul Bartlett , Patrick B. Warren

A proposal to link the equation of state of a monocomponent hard-disk fluid to the equation of state of a polydisperse hard-disk mixture is presented. Event-driven molecular dynamics simulations are performed to obtain data for the…

Soft Condensed Matter · Physics 2017-12-07 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Vitaliy Ogarko

Polydisperse mixtures are those in which components with a whole range of sizes are present. It is shown that the fluid phase of polydisperse hard spheres is thermodynamically unstable unless the density of large spheres decreases at least…

Soft Condensed Matter · Physics 2009-10-31 Richard P. Sear

The phase diagram of soft spheres with size dispersion has been studied by means of an optimized Monte Carlo algorithm which allows to equilibrate below the kinetic glass transition for all sizes distribution. The system ubiquitously…

Soft Condensed Matter · Physics 2007-05-23 L. A. Fernandez , V. Martin-Mayor , P. Verrocchio

Monte Carlo simulations on the structural properties of ternary fluid mixtures of additive hard spheres are reported. The results are compared with those obtained from a recent analytical approximation [S. B. Yuste, A. Santos, and M. Lopez…

Statistical Mechanics · Physics 2007-05-23 Alexander Malijevsky , Anatol Malijevsky , Santos B. Yuste , Andres Santos , Mariano Lopez de Haro

Confined fluids display complex behavior due to layering and local packing. Here, we disentangle these effects by confining a hard-sphere fluid to the surface of a cylinder, such the circumference extends only over a few particle diameters.…

Soft Condensed Matter · Physics 2020-04-23 Charlotte F. Petersen , Lukas Schrack , Thomas Franosch

By extending the nonequilibrium potential refinement algorithm and lattice switch method to the semigrand ensemble, the semigrand potentials of the fcc and hcp structures of polydisperse hard-sphere crystals are calculated with the bias…

Soft Condensed Matter · Physics 2009-11-13 Mingcheng Yang , Hongru Ma

We study the polydisperse Baxter model of sticky hard spheres (SHS) in the modified Mean Spherical Approximation (mMSA). This closure is known to be the zero-order approximation (C0) of the Percus-Yevick (PY) closure in a density expansion.…

Statistical Mechanics · Physics 2007-05-23 Riccardo Fantoni , Domenico Gazzillo , Achille Giacometti

The effect of polydispersity on the phase behaviour of hard spheres is examined using a moment projection method. It is found that the Boublik-Mansoori-Carnahan-Starling-Leland equation of state shows a spinodal instability for a bimodal…

Statistical Mechanics · Physics 2009-10-31 P. B. Warren

We consider a system of monodisperse hard spheres immersed in a sheared fluid. We obtain the distortion of the structure factor of the hard spheres at low shear rates, within a Percus-Yevick like framework. The consequent distortion of the…

Statistical Mechanics · Physics 2017-04-04 Noemi Barrera , Moshe Schwartz

Unlike atoms, colloidal particles are not identical, but can only be synthesised within a finite size tolerance. Colloids are therefore polydisperse, i.e. mixtures of infinitely many components with sizes drawn from a continuous…

Soft Condensed Matter · Physics 2009-11-07 R. M. L. Evans , C. B. Holmes

A recent proposal in which the equation of state of a polydisperse hard-sphere mixture is mapped onto that of the one-component fluid is extrapolated beyond the freezing point to estimate the jamming packing fraction $\phi_\text{J}$ of the…

Statistical Mechanics · Physics 2014-05-01 Andrés Santos , Santos B. Yuste , Mariano López de Haro , Gerardo Odriozola , Vitaliy Ogarko

We study a mass transport model, where spherical particles diffusing on a ring can stochastically exchange volume $v$, with the constraint of a fixed total volume $V=\sum_{i=1}^N v_i$, $N$ being the total number of particles. The particles,…

Statistical Mechanics · Physics 2015-05-14 M. R. Evans , S. N. Majumdar , I. Pagonabarraga , E. Trizac

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

Soft Condensed Matter · Physics 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

We use numerical simulations to understand how random deviations from the ideal spherical shape affect the ability of hard particles to form fcc crystalline structures. Using a system of hard spheres as a reference, we determine the…

Soft Condensed Matter · Physics 2010-12-23 William L. Miller , Angelo Cacciuto

We construct a non-perturbative fully analytical approximation for the thermodynamics and the structure of nonadditive hard-sphere fluid mixtures. The method essentially lies in a heuristic extension of the Percus-Yevick solution for…

Soft Condensed Matter · Physics 2011-10-14 Riccardo Fantoni , Andrés Santos

We use specialized Monte Carlo simulation methods and moment free energy calculations to provide conclusive evidence that dense polydisperse spheres at equilibrium demix into coexisting fcc phases, with more phases appearing as the spread…

Statistical Mechanics · Physics 2013-05-29 Peter Sollich , Nigel B. Wilding

It has been shown by Stell [J. Stat. Phys. 63, 1203 (1991)] that at low temperature monodisperse sticky spheres collapse to form coexisting close-packed solid and infinitely dilute gases. We show that polydisperse sticky spheres also…

Soft Condensed Matter · Physics 2007-05-23 Richard P. Sear

We implement and optimize a particle-swap Monte-Carlo algorithm that allows us to thermalize a polydisperse system of hard spheres up to unprecedentedly-large volume fractions, where \revise{previous} algorithms and experiments fail to…

Statistical Mechanics · Physics 2016-06-14 Ludovic Berthier , Daniele Coslovich , Andrea Ninarello , Misaki Ozawa

An overview of some analytical approaches to the computation of the structural and thermodynamic properties of single component and multicomponent hard-sphere fluids is provided. For the structural properties, they yield a thermodynamically…

Statistical Mechanics · Physics 2008-07-18 M. Lopez de Haro , S. B. Yuste , A. Santos