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Recently, an Enskog-type kinetic theory for Vicsek-type models for self-propelled particles has been proposed [T. Ihle, Phys. Rev. E 83, 030901 (2011)]. This theory is based on an exact equation for a Markov chain in phase space and is not…

Statistical Mechanics · Physics 2015-07-22 Thomas Ihle

We study a kinetically constrained lattice glass model in which continuous local densities are randomly redistributed on neighbouring sites with a kinetic constraint that inhibits the process at high densities, and a random bias accounting…

Disordered Systems and Neural Networks · Physics 2007-05-23 Eric Bertin , Jean-Philippe Bouchaud , Francois Lequeux

Combining experiments and theory, we address the dynamics of self-propelled particles in crowded environments. We first demonstrate that motile colloids cruising at constant speed through random lattices undergo a smooth transition from…

Soft Condensed Matter · Physics 2017-11-01 Alexandre Morin , David Lopes Cardozo , Vijayakumar Chikkadi , Denis Bartolo

We study the propagation of a density perturbation in a weakly interacting boson gas confined on a lattice and in the presence of square dimerized impurities. Such a two-dimensional random-dimer model (2D-DRDM), previously introduced in…

Quantum Gases · Physics 2020-01-08 Pablo Capuzzi , Patrizia Vignolo

We study the dynamics of a particle moving in one-dimensional Lorentz lattice-gas where particle performs mainly three different kinds of motion {\it viz} ballistic motion, diffusion and confinement. There are two different types of…

Soft Condensed Matter · Physics 2021-07-15 Sameer Kumar , Shradha Mishra

We investigate a granular gas in a shaken quasi-two-dimensional box in molecular dynamics computer simulations. After a sudden change (quench) of the shaking amplitude, transient density correlations are observed orders of magnitude beyond…

Soft Condensed Matter · Physics 2020-11-18 Thomas Schindler , Christian M. Rohwer

We investigate the time evolution of a model system of interacting particles, moving in a $d$-dimensional torus. The microscopic dynamics are first order in time with velocities set equal to the negative gradient of a potential energy term…

Statistical Mechanics · Physics 2018-02-12 Paolo Butta` , Joel L. Lebowitz

Diffusion of a tagged particle near a constraining biological surface is examined numerically by modeling the surface-water interaction by an effective potential. The effective potential is assumed to be given by an asymmetric double well…

Soft Condensed Matter · Physics 2007-05-23 Arnab Mukherjee , Biman Bagchi

The diffusion of finite-size hard-core interacting particles in two- or three-dimensional confined domains is considered in the limit that the confinement dimensions become comparable to the particle's dimensions. The result is a nonlinear…

Mathematical Physics · Physics 2017-03-23 Maria Bruna , S. Jonathan Chapman

A mass ejection model in a time-dependent random environment with both temporal and spatial correlations is introduced. When the environment has a finite correlation length, individual particle trajectories are found to diffuse at large…

Chaotic Dynamics · Physics 2012-03-28 Giorgio Krstulovic , Rehab Bitane , Jeremie Bec

The problem of a diffusing particle moving among diffusing traps is analyzed in general space dimension d. We consider the case where the traps are initially randomly distributed in space, with uniform density rho, and derive upper and…

Statistical Mechanics · Physics 2009-11-07 R. A. Blythe , A. J. Bray

The mechanism of diffusion in supercooled liquids is investigated from the potential energy landscape point of view, with emphasis on the crossover from high- to low-T dynamics. Molecular dynamics simulations with a time dependent mapping…

Statistical Mechanics · Physics 2009-11-07 T. Keyes , J. Chowdhary

We study the conservative and deterministic dynamics of two nonlinearly interacting particles evolving in a one-dimensional spatially periodic washboard potential. A weak tilt of the washboard potential is applied biasing one direction for…

Statistical Mechanics · Physics 2011-02-07 D. Hennig , A. D. Burbanks , A. H. Osbaldestin

The dynamics of a tagged particle immersed in a fluid of particles of the same size but different mass is studied when the system is confined between two hard parallel plates separated a distance smaller than twice the diameter of the…

Statistical Mechanics · Physics 2022-12-06 P. Maynar , M. I. García de Soria , J. Javier Brey

We investigate dynamically and statistically diffusive motion in a Klein-Gordon particle chain in the presence of disorder. In particular, we examine a low energy (subdiffusive) and a higher energy (self-trapping) case and verify that…

Chaotic Dynamics · Physics 2015-06-18 Ch. G. Antonopoulos , T. Bountis , Ch. Skokos , L. Drossos

This article is devoted to the study of the dynamical behavior of a collisionless kinetic gas in d=1,2,3 space dimensions which is trapped in a rotationally symmetric potential well. Although at the microscopic level the trajectories of…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Paola Rioseco , Olivier Sarbach

The growth rate of long wavelength kinetic instabilities arising due to the interaction of a collimated beam of relativistic particles and a cold unmagnetized plasma are calculated in the ultra relativistic limit. For sufficiently…

High Energy Astrophysical Phenomena · Physics 2015-05-19 Itay Rabinak , Boaz Katz , Eli Waxman

The relaxation dynamics of a model fluid of platelike colloidal particles is investigated by means of a phenomenological dynamic density functional theory. The model fluid approximates the particles within the Zwanzig model of restricted…

Soft Condensed Matter · Physics 2011-09-14 Markus Bier , Rene van Roij

We apply the general results of the kinetic theory of systems with long-range interactions to particular systems of physical interest. We consider repulsive and attractive power-law potentials of interaction r^{-\gamma} with \gamma<d in a…

Statistical Mechanics · Physics 2013-11-12 Pierre-Henri Chavanis

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