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We consider a system of spherical colloidal particles with a size polydispersity and use a simple van der Waals description in order to study the combined effect of both the polydispersity and the spatial non-uniformity induced by a planar…

Statistical Mechanics · Physics 2009-11-07 L. Bellier-Castella , H. Xu , M. Baus

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…

Materials Science · Physics 2015-05-13 P. N. Pusey , E. Zaccarelli , C. Valeriani , E. Sanz , W. C. K. Poon , M. E. Cates

By using theoretical analysis and molecular dynamics simulations, we investigate the structure of colloidal crystals formed by nonmagnetic microparticles (or magnetic holes) suspended in ferrofluids (called inverse ferrofluids), by taking…

Soft Condensed Matter · Physics 2008-03-25 Y. C. Jian , Y. Gao , J. P. Huang , R. Tao

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…

Soft Condensed Matter · Physics 2025-10-09 Antoine Castagnède , Laura Filion , Frank Smallenburg

We introduce a model for particles that are extremely polydisperse in size compared to monodisperse and bidisperse systems. In two dimensions (2D), size polydispersity inhibits crystallization and increases packing fraction at jamming…

Soft Condensed Matter · Physics 2025-12-10 Daisuke Shimamoto , Miho Yanagisawa

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…

Soft Condensed Matter · Physics 2015-05-28 Wen-Sheng Xu , Zhao-Yan Sun , Li-Jia An

Classical hard spheres crystallize at equilibrium at high enough density. Crystals made up of stackings of 2-dimensional hexagonal close-packed layers (e.g. fcc, hcp, etc.) differ in entropy by only about $10^{-3}k_B$ per sphere (all…

Statistical Mechanics · Physics 2009-10-31 Siun-Chuon Mau , David A. Huse

Theoretical calculations for colloidal charge-stabilized and hard sphere suspensions show that hydrodynamic interactions yield a qualitatively different particle concentration dependence of the short-time self-diffusion coefficient. The…

Soft Condensed Matter · Physics 2009-10-31 E. Overbeck , Ch. Sinn , M. Watzlawek

Charged colloidal particles - both on the nano and micron scales - have been instrumental in enhancing our understanding of both atomic and colloidal crystals. These systems can be straightforwardly realized in the lab, and tuned to…

Soft Condensed Matter · Physics 2021-05-05 Rinske M. Alkemade , Marjolein de Jager , Berend van der Meer , Frank Smallenburg , Laura Filion

Crystal defects crucially influence the properties of crystalline materials and have been extensively studied. Even for the simplest type of defect - the point defect - however, basic properties such as their diffusive behavior, and their…

Soft Condensed Matter · Physics 2024-06-05 Max P. M. Schelling , Janne-Mieke Meijer

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 report a numerical calculation of the elastic constants of the fcc and hcp crystal phases of monodisperse hard-sphere colloids. Surprisingly, some of these elastic constants are very different (up to 20%), even though the free energy,…

Soft Condensed Matter · Physics 2009-11-10 Sander Pronk , Daan Frenkel

We study the theoretical phase behavior of an asymmetric binary mixture of hard spheres, of which the smaller component is monodisperse and the larger component is polydisperse. The interactions are modelled in terms of the second virial…

Statistical Mechanics · Physics 2019-12-09 Luka Sturtewagen , Erik van der Linden

We study packings of bidispersed spherical particles on a spherical surface. The presence of curvature necessitates defects even for monodispersed particles; bidispersity either leads to a more disordered packing for nearly equal radii, or…

Soft Condensed Matter · Physics 2016-08-03 Andrew M. Mascioli , Christopher J. Burke , Timothy J. Atherton

Using Monte Carlo simulations, we systematically investigate the effect of particle size distribution on the phase behaviour of polydisperse hard disks. Compared with the commonly used Gaussian-like polydisperse hard disks [Commun. Phys. 2,…

Soft Condensed Matter · Physics 2020-11-04 Pablo Sampedro Ruiz , Ran Ni

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…

Soft Condensed Matter · Physics 2016-09-05 Matteo Campo , Thomas Speck

We revisit the effect of polydispersity on the crystal nucleation of hard spheres. Using event-driven molecular dynamics simulations, we obtain the nucleation rate as a function of the supersaturation for a range of polydispersities, and…

Soft Condensed Matter · Physics 2025-12-24 Marjolein de Jager , Antoine Castagnède , Frank Smallenburg , Laura Filion

The collective diffusion effects in system of a colloidal particles in a liquid crystal has been proposed. In this article described peculiarity of collective diffusion colloidal particles in a liquid crystal, which can be observe…

Soft Condensed Matter · Physics 2017-12-25 B. I. Lev , A. G. Zagorodny

We recently found that crystallization of monodisperse hard spheres from the bulk fluid faces a much higher free energy barrier in four than in three dimensions at equivalent supersaturation, due to the increased geometrical frustration…

Soft Condensed Matter · Physics 2009-12-11 J. A. van Meel , B. Charbonneau , A. Fortini , P. Charbonneau

There is growing interest in functional, adaptive devices built from colloidal subunits of micron size or smaller. A colloidal material with dynamic mechanical properties could facilitate such microrobotic machines. Here we study via…

Soft Condensed Matter · Physics 2020-01-01 Bryan VanSaders , Sharon C. Glotzer