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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

Size polydispersity in colloidal particles can disrupt order in their self-assembly, ultimately leading to a complete suppression of crystallization. In contrast to various computational studies, few experimental studies systematically…

Soft Condensed Matter · Physics 2025-11-11 Mariam Arif , Andrew B. Schofield , Fraser H. J. Laidlaw , Wilson C. K. Poon , Job H. J. Thijssen

Because of long-wavelength fluctuations, the nature of solids and phase transitions in 2D are different from those in 3D systems, and have been heavily debated in past decades, in which the focus was on the existence of hexatic phase. Here,…

Soft Condensed Matter · Physics 2019-05-29 Pablo Sampedro Ruiz , Qun-li Lei , Ran Ni

The jamming transition of soft particles characterized by narrow size distributions has been well studied by physicists. However, polydispersed systems are more relevant to engineering, and the influence of polydispersity on jamming…

Soft Condensed Matter · Physics 2026-03-26 Kuniyasu Saitoh , Brian P. Tighe

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,…

Soft Condensed Matter · Physics 2007-05-23 M. Fasolo , P. Sollich

We use a Fundamental-Measure density functional for hard board-like polydisperse particles, in the restricted-orientation approximation, to explain the phase behaviour of platelet colloidal suspensions studied in recent experiments. In…

Soft Condensed Matter · Physics 2015-06-05 Yuri Martinez Raton , Enrique Velasco

We performed extensive Monte Carlo simulations of the irreversible adsorption of polydispersed disks inside the cells of a patterned substrate. The model captures relevant features of the irreversible adsorption of spherical colloidal…

Statistical Mechanics · Physics 2012-12-04 J. F. Marques , A. B. Lima , N. A. M. Araujo , A. Cadilhe

We study the equilibrium behaviour of a mixture of monodisperse hard sphere colloids and polydisperse non-adsorbing polymers at their $\theta$-point, using the Asakura-Oosawa model treated within the free-volume approximation. Our focus is…

Soft Condensed Matter · Physics 2007-05-23 Moreno Fasolo , Peter Sollich

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

The melting of a polydisperse hard disk system is investigated by Monte Carlo simulations in the semigrand canonical ensemble. This is done in the context of possible continuous melting by a dislocation unbinding mechanism, as an extension…

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

We report a joint simulation and theoretical study of the liquid-vapor phase behaviour of a fluid in which polydispersity in the particle size couples to the strength of the interparticle interactions. Attention is focussed on the case in…

Statistical Mechanics · Physics 2009-11-11 Nigel B. Wilding , Peter Sollich , Moreno Fasolo , Matteo Buzzacchi

One-dimensional movement of interacting particles is a challenging problem where the correlation between particles induces non-trivial collective effects. In contrast to the single-file diffusion case, the pure ballistic single file…

Statistical Mechanics · Physics 2023-02-28 P. M. Centres , S. J. Manzi , V. D. Pereyra , S. Bustingorry

The phase behaviour of a weakly polydisperse system, such as a colloid with a small spread of particle sizes, can be related perturbatively to that of its monodisperse counterpart. I show how this approach can be generalized to remain…

Soft Condensed Matter · Physics 2008-03-03 Peter Sollich

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

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)…

Soft Condensed Matter · Physics 2011-08-31 L. A. Fernandez , V. Martin-Mayor , B. Seoane , P. Verrocchio

The close packing density of log-normal and bimodal distributed, surface-adsorbed particles or discs in 2D is studied by numerical simulation. For small spread in particle size, the system orders in a polycrystalline structure of hexagonal…

Soft Condensed Matter · Physics 2012-01-27 Robert D. Groot , Simeon D. Stoyanov

Specialized Monte Carlo simulation techniques and moment free energy method calculations, capable of treating fractionation exactly, are deployed to study the crystalline phase behaviour of an assembly of spherical particles described by a…

Statistical Mechanics · Physics 2011-03-25 Peter Sollich , Nigel B. Wilding

The streaming instability is an efficient method for overcoming the barriers to planet formation in protoplanetary discs. The streaming instability has been extensively modelled by hydrodynamic simulations of gas and a single dust size.…

Earth and Planetary Astrophysics · Physics 2025-03-19 Jip Matthijsse , Hossam Aly , Sijme-Jan Paardekooper

We study the thermodynamic and dynamic phase transitions in two-dimensional polydisperse hard disks using Monte Carlo methods. A conventional local Monte Carlo algorithm allows us to observe a dynamic liquid-glass transition at a density,…

Statistical Mechanics · Physics 2007-05-23 Ludger Santen , Werner Krauth

We investigate both ensemble and time-averaged mean-squared displacements of particles in a polydisperse granular system in a homogeneous cooling state. The system contains an arbitrary number of species of different sizes and masses. The…

Soft Condensed Matter · Physics 2024-09-20 Anna S. Bodrova , Alexander I. Osinsky
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