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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…

凝聚态物理 · 物理学 2007-05-23 P. Bartlett

The equilibrium phase behaviour of hard spheres with size polydispersity is studied theoretically. We solve numerically the exact phase equilibrium equations that result from accurate free energy expressions for the fluid and solid phases,…

软凝聚态物质 · 物理学 2007-05-23 M. Fasolo , P. Sollich

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…

软凝聚态物质 · 物理学 2007-05-23 Paul Bartlett , Patrick B. Warren

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…

软凝聚态物质 · 物理学 2009-10-31 Richard P. Sear

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…

软凝聚态物质 · 物理学 2009-11-07 R. M. L. Evans , C. B. Holmes

Microcanonical Monte Carlo simulations of a polydisperse soft-spheres model for liquids and colloids have been performed for very large polydispersity, in the region where a phase-separation is known to occur when the system (or part of it)…

软凝聚态物质 · 物理学 2011-08-31 L. A. Fernandez , V. Martin-Mayor , B. Seoane , P. Verrocchio

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…

统计力学 · 物理学 2007-05-23 N. G. Almarza , E. Enciso

Motivated by old experiments on colloidal suspensions, we report molecular dynamics simulations of assemblies of hard spheres, addressing crystallization and glass formation. The simulations cover wide ranges of polydispersity s (standard…

材料科学 · 物理学 2015-05-13 P. N. Pusey , E. Zaccarelli , C. Valeriani , E. Sanz , W. C. K. Poon , M. E. Cates

We calculate the phase behavior of hard spheres with size polydispersity, using accurate free energy expressions for the fluid and solid phases. Cloud and shadow curves, which determine the onset of phase coexistence, are found exactly by…

凝聚态物理 · 物理学 2007-05-23 M. Fasolo , P. Sollich

We study by molecular dynamics the interplay between arrest and crystallization in hard spheres. For state points in the plane of volume fraction ($0.54 \leq phi \leq 0.63$) and polydispersity ($0 \leq s \leq 0.085$), we delineate states…

软凝聚态物质 · 物理学 2009-10-21 E. Zaccarelli , C. Valeriani , E. Sanz , W. C. K. Poon , M. E. Cates , P. N. Pusey

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…

软凝聚态物质 · 物理学 2007-05-23 Richard P. Sear

The solid-solid coexistence of a polydisperse hard sphere system is studied by using the Monte Carlo simulation. The results show that for large enough polydispersity the solid-solid coexistence state is more stable than the single-phase…

软凝聚态物质 · 物理学 2009-11-13 Mingcheng Yang , Hongru Ma

We study the phase behavior of hard spheres confined between two parallel hard plates using extensive computer simulations. We determine the full equilibrium phase diagram for arbitrary densities and plate separations from one to five…

软凝聚态物质 · 物理学 2009-11-11 Andrea Fortini , Marjolein Dijkstra

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…

软凝聚态物质 · 物理学 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

In supercooled liquids, vitrification generally suppresses crystallization. Yet some glasses can still crystallize despite the arrest of diffusive motion. This ill-understood process may limit the stability of glasses, but its microscopic…

We study numerically the crystallization of a hard-sphere mixture with 8\% polydispersity. Although often used as a model glass former, for small system sizes we observe crystallization in molecular dynamics simulations. This opens the…

软凝聚态物质 · 物理学 2016-09-05 Matteo Campo , Thomas Speck

Crystallization and vitrification are two different routes to form a solid. Normally these two processes suppress each other, with the glass transition preventing crystallization at high density (or low temperature). This is even true for…

软凝聚态物质 · 物理学 2014-08-26 Ran Ni , Martien A. Cohen Stuart , Marjolein Dijkstra , Peter G. Bolhuis

In experimental systems, colloidal particles are virtually always at least somewhat polydisperse, which can have profound effects on their ability to crystallize. Unfortunately, accurately predicting the effects of polydispersity on phase…

软凝聚态物质 · 物理学 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

We report a molecular dynamics study of crystallization in highly asymmetric binary hard-sphere mixtures, in which the large spheres can form a crystal phase while the small ones remain disordered during the crystallization process of the…

软凝聚态物质 · 物理学 2015-05-28 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

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…

统计力学 · 物理学 2009-10-31 P. B. Warren
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