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Classical particle systems characterized by continuous size polydispersity, such as colloidal materials, are not straightforwardly described using statistical mechanics, since fundamental issues may arise from particle distinguishability.…

Statistical Mechanics · Physics 2017-01-16 Misaki Ozawa , Ludovic Berthier

Much work has been devoted to analysing thermodynamic models for solid dispersions with a view to identifying regions in the phase diagram where amorphous phase separation or drug recrystallization can occur. However, detailed partial…

Soft Condensed Matter · Physics 2020-06-26 Martin Meere , Giuseppe Pontrelli , Sean McGinty

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

We develop a general analysis of the diffusive dynamics of polydisperse polymers in the presence of chemical potential gradients, within the context of the tube model (with all species entangled). We obtain a set of coupled dynamical…

Soft Condensed Matter · Physics 2009-11-07 I. Pagonabarraga , M. E. Cates

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

Sedimenting flows occur in a range of society-critical systems, such as circulating fluidized bed reactors and pyroclastic density currents (PDCs), the most hazardous volcanic process. In these systems, mass loading is sufficiently high…

Fluid Dynamics · Physics 2024-08-28 E. Foster , E. C. P. Breard , S. Beetham

We study phase equilibria in a minimal model of charge-regulated polymer solutions. Our model consists of a single polymer species whose charge state arises from protonation-deprotonation processes in the presence of a dissolved acid, whose…

Soft Condensed Matter · Physics 2023-11-14 Giulia L. Celora , Ralf Blossey , Andreas Münch , Barbara Wagner

We analyze the critical gas-liquid phase behavior of arbitrary fluid mixtures in their coexistence region. We focus on the setting relevant for polydisperse colloids, where the overall density and composition of the system are being…

Soft Condensed Matter · Physics 2019-11-22 Pablo de Castro , Peter Sollich

We conduct molecular dynamics computer simulations of a system of Lennard-Jones particles, polydisperse in both size and mass, at a fixed density and temperature. We test for and quantify systematic changes in dynamical properties that…

Statistical Mechanics · Physics 2009-11-07 N. Kiriushcheva , Peter H. Poole

We develop a model to describe the properties of random assemblies of polydisperse hard spheres. We show that the key features to describe the system are (i) the dependence between the free volume of a sphere and the various coordination…

Disordered Systems and Neural Networks · Physics 2015-05-19 Maximilien Danisch , Yuliang Jin , Hernan A. Makse

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

Low-density "equilibrium" gels that consist of a percolated, kinetically arrested network of colloidal particles and are resilient to aging can be fabricated by restricting the number of effective bonds that form between the colloids.…

The statistical mechanics of phase transitions in dense systems of polydisperse particles presents distinctive challenges to computer simulation and analytical theory alike. The core difficulty, namely dealing correctly with particle size…

Soft Condensed Matter · Physics 2013-09-03 Nigel B. Wilding , Peter Sollich

We study the phase behaviour of the Zwanzig model of suspensions of hard rods, allowing for polydispersity in the lengths of the rods. In spite of the simplified nature of the model (rods are restricted to lie along one of three orthogonal…

Soft Condensed Matter · Physics 2007-05-23 Nigel Clarke , Jose A Cuesta , Richard Sear , Peter Sollich , Alessandro Speranza

Nanocomposite materials made of block copolymer and nanoparticles display properties which can be different from the purely polymeric matrix. The resulting material is a crossover of the original properties of the block copolymer and the…

Soft Condensed Matter · Physics 2019-11-04 Javier Diaz , Marco Pinna , Andrei V. Zvelindovsky , Ignacio Pagonabarraga

Models of adhesion of extended particles on linear and planar substrates are of interest in interpreting surface deposition in colloid, polymer, and certain biological systems. An introduction is presented to recent theoretical advances in…

Condensed Matter · Physics 2016-11-03 Vladimir Privman

We generalize a recently investigated lattice model of semiflexible polymers formed under equilibrium polymerization in a solution and conduct a comprehensive investigation of its melting properties. The model is characterized by six…

Condensed Matter · Physics 2007-05-23 Sagar S. Rane , P. D. Gujrati

We discuss phase coexistence of polydisperse colloidal suspensions in the presence of adhesion forces. The combined effect of polydispersity and Baxter's sticky-hard-sphere (SHS) potential, describing hard spheres interacting via strong and…

Statistical Mechanics · Physics 2009-11-11 Domenico Gazzillo , Achille Giacometti , Riccardo Fantoni

We describe a lattice-gas model suitable for studying the generic effects of polydispersity on liquid-vapor phase equilibria. Using Monte Carlo simulation methods tailored for the accurate determination of phase behaviour under conditions…

Statistical Mechanics · Physics 2009-11-13 Nigel B. Wilding , Peter Sollich , Matteo Buzzacchi

Theory is presented for the phase stability of mixtures containing nanospheres and non-adsorbing reversible supramolecular polymers. This was made possible by incorporating the depletion thickness and osmotic pressure of reversible…

Soft Condensed Matter · Physics 2011-06-09 Remco Tuinier