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The conditions of multi-phase equilibrium are solved for generic polydisperse systems. The case of multiple polydispersity is treated, where several properties (e.g. size, charge, shape) simultaneously vary from one particle to another. By…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

We study theoretically the equilibrium phase behaviour of a mixture of polydisperse hard-sphere colloids and monodisperse polymers, modelled using the Asakura-Oosawa model within the free volume approximation of Lekkerkerker et al. We…

Soft Condensed Matter · Physics 2009-11-10 M. Fasolo , P. Sollich

The width of the distribution of species in a polydisperse system is employed in a small-variable expansion, to obtain a well-controlled and compact scheme by which to calculate phase equilibria in multi-phase systems. General and universal…

Statistical Mechanics · Physics 2009-10-31 R. M. L. Evans

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 study phase separation and transient gelation in a mixture consisting of polydisperse colloids and non-adsorbing polymers, where the ratio of the average size of the polymer to that of the colloid is approximately 0.063. Unlike what has…

Soft Condensed Matter · Physics 2011-06-23 S. M. Liddle , T. Narayanan , W. C. K. Poon

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

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

A theoretical scheme for the calculation of the full phase diagram (including cloud and shadow curves, binodals and distribution functions of the coexisting phases) for colloid-polymer mixtures with polymer chain length polydispersity and…

Soft Condensed Matter · Physics 2009-11-13 Y. V. Kalyuzhnyi , P. T. Cummings

A `polydisperse' system has an infinite number of conserved densities. We give a rational procedure for projecting its infinite-dimensional free energy surface onto a subspace comprising a finite number of linear combinations of densities…

Statistical Mechanics · Physics 2007-05-23 Peter Sollich , Michael E Cates

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

We study the phase behavior of mixtures of monodisperse colloidal spheres with a depletion agent which can have arbitrary shape and can possess a polydisperse size or shape distribution. In the low concentration limit, considered here, we…

Soft Condensed Matter · Physics 2009-11-11 C. Grodon , R. Roth

Polymer mixtures fractionate between phases depending on their molecular weight. Consequently, by varying solvent conditions, a polydisperse polymer sample can be separated between phases so as to achieve a particular molecular weight…

Soft Condensed Matter · Physics 2026-04-10 J. Pedro de Souza , William M. Jacobs , Howard A. Stone

We report molecular dynamics simulations of a system of repulsive, polymer-tethered colloidal particles. We use an explicit polymer model to explore how the length and the behavior of the polymer (ideal or self-avoiding) affect the ability…

Soft Condensed Matter · Physics 2015-05-14 Behnaz Bozorgui , Maya Sen , William L. Miller , Josep C. Pamies , Angelo Cacciuto

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

New insights into phase separation in colloidal suspensions are provided via a new dynamical theory based on the Polydisperse Lattice-Gas model. The model gives a simplified description of polydisperse colloids, incorporating a hard-core…

Soft Condensed Matter · Physics 2017-08-03 Pablo de Castro , Peter Sollich

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

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 modeled in terms of the second virial…

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

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

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…

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