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A general quantitative measure of the tendency towards phase separation is introduced for systems exhibiting phase transitions or crossovers controlled by charge carrier concentration. This measure is devised for the situations when the…

Strongly Correlated Electrons · Physics 2011-05-02 Boris V. Fine , Takeshi Egami

Chemical, physical and ecological systems passing through a saddle-node bifurcation will, momentarily, find themselves balanced at a semi-stable steady state. If perturbed by noise, such systems will escape from the zero-steady state, with…

Statistical Mechanics · Physics 2020-01-08 Alastair Jamieson-Lane , Eric N. Cytrynbaum

We prove a central limit theorem for the momentum distribution of a particle undergoing an unbiased spatially periodic random forcing at exponentially distributed times without friction. The start is a linear Boltzmann equation for the…

Mathematical Physics · Physics 2015-05-14 Jeremy Clark , Christian Maes

A new type of two phase coexistence in a vibrated granular material is reported, in the limit where energy transfer between the particles and the bottom wall occurs due to discrete collisions. A horizontally homogeneous bed develops…

Statistical Mechanics · Physics 2007-05-23 P Sunthar , V Kumaran

We study the collective behavior of binary mixture of self-propelled particles. Particles moves along their heading direction with {\it variable speed} and interact through short range alignment interaction. A variable speed parameter…

Soft Condensed Matter · Physics 2020-04-22 Jay Prakash Singh , Shradha Mishra

We study the statistics, in stationary conditions, of the work $W_\tau$ done by the active force in different systems of self-propelled particles in a time $\tau$. We show the existence of a critical value $W_\tau ^\dag$ such that…

Statistical Mechanics · Physics 2017-10-17 Francesco Cagnetta , Federico Corberi , Giuseppe Gonnella , Antonio Suma

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

Phase segregation, the process by which the components of a binary mixture spontaneously separate, is a key process in the evolution and design of many chemical, mechanical, and biological systems. In this work, we present a data-driven…

Machine Learning · Computer Science 2018-03-28 Amir Barati Farimani , Joseph Gomes , Rishi Sharma , Franklin L. Lee , Vijay S. Pande

Binary mixtures prepared in an homogeneous phase and quenched into a two-phase region phase-separate via a coarsening process whereby domains of the two phases grow in time. With a numerical study of a spin-exchange model we show that this…

Statistical Mechanics · Physics 2016-11-28 Alessandro Tartaglia , Leticia F. Cugliandolo , Marco Picco

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

This work investigates phase separation of a monodisperse gas of inelastically colliding hard disks confined in a two-dimensional annulus, the inner circle of which represents a "thermal wall". When described by granular hydrodynamic…

Soft Condensed Matter · Physics 2015-06-25 Manuel Diez-Minguito , Baruch Meerson

A binary mixture of particles interacting with spherically-symmetric potentials leading to microsegregation is studied by theory and molecular dynamics (MD) simulations. We consider spherical particles with equal diameters and volume…

Soft Condensed Matter · Physics 2020-11-20 O. Patsahan , M. Litniewski , A. Ciach

A microscopic, stochastic, minimal model for collective and cohesive motion of identical self-propelled particles is introduced. Even though the particles interact strictly locally in a very noisy manner, we show that cohesion can be…

Statistical Mechanics · Physics 2010-01-05 Guillaume Gregoire , Hugues Chate , Yuhai Tu

Inertial particles in turbulent flows are characterised by preferential concentration and segregation and, at sufficient mass loading, dense particle clusters may spontaneously arise due to momentum coupling between the phases. These…

Fluid Dynamics · Physics 2019-01-30 Alessio Innocenti , Rodney O Fox , Sergio Chibbaro

The transport properties of colloidal particles in active liquids have been studied extensively. It has led to a deeper understanding of the interactions between passive and active particles. However, the phase behavior of colloidal…

Soft Condensed Matter · Physics 2023-01-30 Pragya Kushwaha , Vivek Semwal , Sayan Maity , Shraddha Mishra , Vijayakumar Chikkadi

We investigate the orbital evolution of particles in a planet's chaotic zone to determine their final destinations and their timescales of clearing. There are four possible final states of chaotic particles: collision with the planet,…

Earth and Planetary Astrophysics · Physics 2015-06-23 Sarah Morrison , Renu Malhotra

The influence of size differences, shape, mass and persistent motion on phase separation in binary mixtures has been intensively studied. Here we focus on the exclusive role of diffusivity differences in binary mixtures of equal-sized…

Soft Condensed Matter · Physics 2016-03-04 Simon N. Weber , Christoph A. Weber , Erwin Frey

Colloidal particles of two types, driven in opposite directions, can segregate into lanes [Vissers et al. Soft Matter 7, 2352 (2011)]. This phenomenon can be reproduced by two-dimensional Brownian dynamics simulations of model particles…

Statistical Mechanics · Physics 2016-08-31 Katherine Klymko , Phillip L. Geissler , Stephen Whitelam

Simulation studies of the phase diagram of repulsive active Brownian particles in three dimensions reveal that the region of motility-induced phase separation between a high and low density phase is enclosed by a region of gas-crystal phase…

Statistical Mechanics · Physics 2021-01-27 Francesco Turci , Nigel B. Wilding

Percolation of fine particles (fines) in a static bed of larger particles is central to many industrial and natural processes. Non-cohesive fines either pass through the bed or become trapped depending on multiple factors including particle…

Soft Condensed Matter · Physics 2026-05-20 Jizhi Zhang , Qiong Zhang , Julio M. Ottino , Paul B. Umbanhowar , Richard M. Lueptow