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We study the kinetics of diffusion-limited coalescence, A+A-->A, and annihilation, A+A-->0, in the Bethe lattice of coordination number z. Correlations build up over time so that the probability to find a particle next to another varies…

Statistical Mechanics · Physics 2007-05-23 Daniel ben-Avraham , M. Lawrence Glasser

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

Inertia does not generally affect the long-time diffusion of passive overdamped particles in fluids. Yet a model starting from the Langevin equation predicts a surprising property of particles coated with ligands, that bind reversibly to…

Soft Condensed Matter · Physics 2022-10-05 Sophie Marbach , Miranda Holmes-Cerfon

Condensed ionic systems are described in the framework of a combined approach that takes into account both long-range and short-range interactions. Short-range interaction is expressed in terms of mean potentials and long-range interaction…

Statistical Mechanics · Physics 2019-10-03 G. Bokun , I. Kravtsiv , M. Holovko , V. Vikhrenko , D. di Caprio

Cooperative jump motions are studied for mutually interacting particles in a one-dimensional periodic potential. The diffusion constant for the cooperative motion in systems including a small number of particles is numerically calculated…

Statistical Mechanics · Physics 2015-05-14 Hidetsugu Sakaguchi

The coefficients of diffusion, thermal conductivity, and shear viscosity are calculated for a system of non-relativistic particles interacting via a delta-shell potential V(r)=-v \delta(r-R) when the average distance between particles is…

Quantum Physics · Physics 2010-12-09 Sergey Postnikov , Madappa Prakash

We calculate the diffusion coefficients of persistent random walks on lattices, where the direction of a walker at a given step depends on the memory of a certain number of previous steps. In particular, we describe a simple method which…

Statistical Mechanics · Physics 2013-02-07 Thomas Gilbert , David P. Sanders

We study the dynamics of a single-particle wave packet on a one-dimensional lattice subject to periodic random phase kicks with finite spatial correlation length. This stroboscopic setting provides a controllable model of dephasing in…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Pei Wang

We study a lattice model describing the non-equilibrium dynamics emerging from the pulling of a tracer particle through a disordered medium occupied by randomly placed obstacles. The model is considered in a restricted geometry pertinent…

Statistical Mechanics · Physics 2026-03-09 A. Squarcini , A. Tinti , P. Illien , O. Bénichou , T. Franosch

The role of incoherent tunneling in the diffusion of light atoms on surfaces is investigated. With this purpose, a Chudley-Elliot master equation constrained to nearest neighbors is considered within the Grabert-Weiss approach to quantum…

Statistical Mechanics · Physics 2013-09-10 A. S. Sanz , R. Martinez-Casado , S. Miret-Artes

A survey is given on asymptotic diffusion coefficients of particles in lattices with random transition rates. Exact and approximate results for single particles are reviewed. A recent exact expression in $d = 1$ which includes occupation…

Condensed Matter · Physics 2007-05-23 K. W. Kehr , T. Wichmann

We investigate the combined effects of electrostatic interactions and hydrodynamic interactions on the short-time rotational self-diffusion coefficient in charge-stabilized suspensions. We calculate this coefficient as a function of volume…

Condensed Matter · Physics 2015-06-25 M. Watzlawek , G. Naegele

The friction coefficient of a particle can depend on its position as it does when the particle is near a wall. We formulate the dynamics of particles with such state-dependent friction coefficients in terms of a general Langevin equation…

Soft Condensed Matter · Physics 2009-11-13 A. W. C. Lau , T. C. Lubensky

The diffusion of a particle in a crowded environment typically proceeds through three regimes: for very short times the particle diffuses freely until it collides with an obstacle for the first time, while for very long times diffusion the…

Biological Physics · Physics 2019-10-09 Nguiya P. Neo , Gary W. Slater

A particle driven by deterministic chaos and moving in a spatially extended environment can exhibit normal diffusion, with its mean square displacement growing proportional to the time. Here we consider the dependence of the diffusion…

Mathematical Physics · Physics 2017-06-29 Georgie Knight , Orestis Georgiou , Carl P. Dettmann , Rainer Klages

The lattice fluid model of the system with short range and long range Coulomb interactions is suggested. In the framework of the collective variables method, the screening of the Coulomb interactions in the bulk is considered. It is shown…

Other Condensed Matter · Physics 2019-01-24 George Bokun , Dung di Caprio , Myroslav Holovko , Vyacheslav Vikhrenko

Describing the diffusion of particles through crowded, confined environments with which they can interact is of considerable biological and technological interest. Under conditions where the confinement dimensions become comparable to the…

Soft Condensed Matter · Physics 2009-11-13 Mark L. Henle , Brian DiDonna , Christian D. Santangelo , Ajay Gopinathan

We study dynamical behaviors of one-dimensional stochastic lattice gases with repulsive interactions whose span can be arbitrary large. We endow the system with a zero-temperature dynamics, so that the hops to empty sites which would have…

Statistical Mechanics · Physics 2015-06-15 P. L. Krapivsky

We study various temporal correlation functions of a tagged particle in one-dimensional systems of interacting point particles evolving with Hamiltonian dynamics. Initial conditions of the particles are chosen from the canonical thermal…

Statistical Mechanics · Physics 2015-06-25 Anjan Roy , Abhishek Dhar , Onuttom Narayan , Sanjib Sabhapandit

The effect of long-ranged Coulomb interaction on the low energy properties (momentum distribution function, density of states, electron spectral function, and $4k_F$ correlation function) of one-dimensional electron systems is determined…

Strongly Correlated Electrons · Physics 2009-10-31 D. W. Wang , A. J. Millis , S. Das Sarma
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