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We have developed a simulation model to describe particle adsorption to and desorption from liquid interfaces. Using this model we formulate a closed interfacial equation of state for repulsive elastic spheres. The effect of a long-range…

Soft Condensed Matter · Physics 2011-02-24 Robert D. Groot , Simeon D. Stoyanov

A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the…

Mathematical Physics · Physics 2015-06-05 Pierre Degond , Jiale Hua

We study a minimal model involving two species of particles interacting via quorum-sensing rules. Combining simulations of the microscopic model and linear stability analysis of the associated coarse-grained field theory, we identify a…

Statistical Mechanics · Physics 2023-10-13 Yu Duan , Jaime Agudo-Canalejo , Ramin Golestanian , Benoît Mahault

Dynamics of two particles with short range repulsive or attractive interaction is studied numerically in the Harper model. It is shown that interaction leads to appearance of localized states and pure-point spectrum component in the case…

Condensed Matter · Physics 2009-10-28 D. L. Shepelyansky

Nonlinear Fokker-Planck equations endowed with curl drift forces are investigated. The conditions under which these evolution equations admit stationary solutions, which are $q$-exponentials of an appropriate potential function, are…

Statistical Mechanics · Physics 2016-12-07 R. S. Wedemann , A. R. Plastino , C. Tsallis

How frictional effects emerge at the microscopic level in particulate materials remains a challenging question, particularly in systems subject to thermal fluctuations due to the transient nature of interparticle contacts. Here, we directly…

Soft Condensed Matter · Physics 2025-08-12 Berend van der Meer , Taiki Yanagishima , Roel P. A. Dullens

The settling of colloidal particles with short-ranged attractions is investigated via highly resolved immersed boundary simulations. At modest volume fractions, we show that inter-colloid attractions lead to clustering that reduces the…

Soft Condensed Matter · Physics 2018-03-29 Andrew M. Fiore , Gang Wang , James W. Swan

Many biological processes are supported by special molecules, called motor proteins or molecular motors, that transport cellular cargoes along linear protein filaments and can reversibly associate to their tracks. Stimulated by these…

Statistical Mechanics · Physics 2021-11-17 Akriti Jindal , Anatoly B. Kolomeisky , Arvind Kumar Gupta

We investigate a discrete model consisting of self-propelled particles that obey simple interaction rules. We show that this model can self-organize and exhibit coherent localized solutions in one- and in two-dimensions.In one-dimension,…

Soft Condensed Matter · Physics 2009-10-31 Herbert Levine , Wouter-Jan Rappel , Inon Cohen

We consider the properties of a one dimensional fluid of brownian inertial hard-core particles, whose microscopic dynamics is partially damped by a heat-bath. Direct interactions among the particles are represented as binary, instantaneous…

Statistical Mechanics · Physics 2007-05-23 Marini Bettolo Marconi Umberto , Tarazona Pedro

We investigate a particle system which is a discrete and deterministic approximation of the one-dimensional Keller-Segel equation with a logarithmic potential. The particle system is derived from the gradient flow of the homogeneous free…

Functional Analysis · Mathematics 2014-04-02 Vincent Calvez , Thomas Gallouët

In this paper, we study the Navier-Stokes equation and the Burgers equation for the dynamical motion of a passive particle with harmonic and viscous forces, subject to an exponentially correlated Gaussian force. As deriving the…

Statistical Mechanics · Physics 2024-09-24 Jae Won Jung , Sung Kyu Seo , Kyungsik Kim

A colloidal monolayer embedded in the bulk of a fluid experiences a "compressible", long-range hydrodynamic interaction which, far from boundaries, leads to a breakdown of Fick's law above a well defined length scale, showing up as…

Soft Condensed Matter · Physics 2026-05-12 M. Chamorro-Burgos , Alvaro Domínguez

Motivated by recent simulations and by experiments on aggregation of gliding bacteria, we study a model of the collective dynamics of self-propelled hard rods on a substrate in two dimensions. The rods have finite size, interact via…

Soft Condensed Matter · Physics 2009-11-13 Aparna Baskaran , M. Cristina Marchetti

Repulsive self-propelled particles tend to cluster, leading to Motility-Induced Phase Separation (MIPS). By analogy with equilibrium phase separation, the onset of MIPS has been associated with a transition to effective attraction between…

Statistical Mechanics · Physics 2026-05-05 Rosalba Garcia-Millan , Luca Cocconi , Ziluo Zhang , Marius Bothe , Letian Chen , Zigan Zhen , Gunnar Pruessner

We present an individual-based model describing disk-like self-propelled particles moving inside parallel planes. The disk directions of motion follow alignment rules inside each layer. Additionally, the disks are subject to interactions…

Adaptation and Self-Organizing Systems · Physics 2015-02-23 Pierre Degond , Laurent Navoret

Microswimmers typically operate in complex environments. In biological systems, often diverse species are simultaneously present and interact with each other. Here, we derive a (time-dependent) particle-scale statistical description, namely…

Soft Condensed Matter · Physics 2019-08-13 Christian Hoell , Hartmut Löwen , Andreas M. Menzel

We introduce a simple spherical model whose structural properties are similar to the ones generated by models with directional interactions, by employing a binary mixture of large and small hard spheres, with a square-well attraction acting…

Disordered Systems and Neural Networks · Physics 2009-11-13 Emanuela Zaccarelli , Francesco Sciortino , Piero Tartaglia

We examine the structural and dynamic properties of confined binary hard-sphere mixtures designed to mimic realizable colloidal thin films. Using computer simulations, governed by either Newtonian or overdamped Langevin dynamics, together…

Soft Condensed Matter · Physics 2015-05-01 Jonathan A. Bollinger , Avni Jain , James Carmer , Thomas M. Truskett

We study mixtures of self-propelled and passive rod-like particles in two dimensions using Brownian dynamics simulations. The simulations demonstrate that the two species spontaneously segregate to generate a rich array of dynamical domain…

Soft Condensed Matter · Physics 2015-03-13 Samuel R. McCandlish , Aparna Baskaran , Michael F. Hagan