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In equilibrium, the effect of a spatially localised perturbation is typically confined around the perturbed region. Quite contrary to this, in a non-equilibrium stationary state often the entire system is affected. This appears to be a…

统计力学 · 物理学 2015-05-07 Tridib Sadhu , Satya N. Majumdar , David Mukamel

The interacting lattice gas model is used to simulate fluid flow through an open percolating porous medium with the fluid entering at the source-end and leaving from the opposite end. The shape of the steady-state concentration profile and…

统计力学 · 物理学 2009-11-07 R. B. Pandey , J. F. Gettrust , D. Stauffer

We investigate temporal behavior of probability density functions (pdfs) of paradigmatic jump-type and continuous processes that, under confining regimes, share common heavy-tailed asymptotic (target) pdfs. Namely, we have shown that under…

统计力学 · 物理学 2015-05-18 Piotr Garbaczewski , Vladimir Stephanovich , Dariusz Kȩdzierski

We study the dynamics of a single chain polymer confined to a two dimensional cell. We introduce a kinetically constrained lattice gas model that preserves the connectivity of the chain, and we use this kinetically constrained model to…

统计力学 · 物理学 2011-11-09 Armin Rahmani , Claudio Castelnovo , Jeremy Schmit , Claudio Chamon

The one-dimensional symmetric exclusion process, the simplest interacting particle process, is a lattice-gas made of particles that hop symmetrically on a discrete line respecting hard-core exclusion. The system is prepared on the infinite…

统计力学 · 物理学 2017-04-26 T. Imamura , K. Mallick , T. Sasamoto

We investigate the dynamics of the quantum Ising model on two-dimensional square lattices up to $16 \times 16$ spins. In the ordered phase, the model is predicted to exhibit dynamically constrained dynamics, leading to confinement of…

量子物理 · 物理学 2025-04-29 Luka Pavešić , Daniel Jaschke , Simone Montangero

We consider the influence of active speed fluctuations on the dynamics of a $d$-dimensional active Brownian particle performing a persistent stochastic motion. We use the Laplace transform of the Fokker-Planck equation to obtain exact…

统计力学 · 物理学 2024-10-08 Amir Shee , Debasish Chaudhuri

This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

混沌动力学 · 物理学 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

We study the position of a biased tracer particle (TP) in a bath of hardcore particles moving on a lattice of arbitrary dimension and in contact with a reservoir. Starting from the master equation satisfied by the joint probability of the…

统计力学 · 物理学 2015-12-09 Pierre Illien , Olivier Bénichou , Gleb Oshanin , Raphaël Voituriez

Long-time tails, or algebraic decay of time-correlation functions, have long been known to exist both in many-body systems and in models of non-interacting particles in the presence of quenched disorder that are often referred to as Lorentz…

无序系统与神经网络 · 物理学 2024-11-14 T. R. Kirkpatrick , D. Belitz

We study the stationary state of a one-dimensional kinetic model where a probe particle is driven by an external field E and collides, elastically or inelastically, with a bath of particles at temperature T. We focus on the stationary…

统计力学 · 物理学 2013-05-30 G. Gradenigo , U. Marini Bettolo Marconi , A. Puglisi , A. Sarracino

We study an asymmetric simple exclusion process in a strip in the presence of a solid impenetrable barrier. We focus on the effect of the barrier on the residence time of the particles, namely, the typical time needed by the particles to…

统计力学 · 物理学 2016-10-19 Emilio N. M. Cirillo , Adrian Muntean , Oleg Krehel , Rutger van Santen

We use an off - lattice bead - spring model of a self - avoiding polymer chain immersed in a 3-dimensional quenched random medium to study chain dynamics by means of a Monte - Carlo (MC) simulation. The chain center of mass mean-squared…

软凝聚态物质 · 物理学 2007-05-23 A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We investigate particle emission from a Bose-Einstein condensate with periodically modulated interactions in a one-dimensional lattice. Within perturbative analysis, which leads to instabilities for discrete modes, we obtain the main…

量子气体 · 物理学 2024-04-10 L. Q. Lai , Z. Li , Q. H. Liu , Y. B. Yu

We study the behaviour of an ultracold atomic gas of bosons in a bichromatic lattice, where the weaker lattice is used as a source of disorder. We numerically solve a discretized mean-field equation, which generalizes the one-dimensional…

量子气体 · 物理学 2009-12-11 Marco Larcher , Franco Dalfovo , Michele Modugno

Evidence suggests that the transport rate of a passive particle at long timescales is enhanced due to interactions with the surrounding active ones in a size- and composition-dependent manner. Using a system of particles with different…

软凝聚态物质 · 物理学 2021-07-14 Efe Ilker , Michele Castellana , Jean-François Joanny

Dynamics of inelastic gases are studied within the framework of random collision processes. The corresponding Boltzmann equation with uniform collision rates is solved analytically for gases, impurities, and mixtures. Generally, the energy…

统计力学 · 物理学 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We discuss a simple deterministic lattice gas of locally interacting charged particles, for which we show coexistence of ballistic and diffusive transport. Both, the ballistic and the diffusive transport coefficients, specifically the Drude…

统计力学 · 物理学 2019-01-08 Katja Klobas , Marko Medenjak , Tomaz Prosen

We discuss stationary aspects of a set of driven lattice gases in which hard-core particles with spatial extent, covering more than one lattice site, diffuse and reconstruct in one dimension under nearest-neighbor interactions. As in the…

统计力学 · 物理学 2011-12-30 M. D. Grynberg

We introduce a nonequilibrium off--lattice model for anisotropic phenomena in fluids. This is a Lennard--Jones generalization of the driven lattice--gas model in which the particles' spatial coordinates vary continuously. A comparison…

统计力学 · 物理学 2016-08-16 M. Díez--Minguito , P. L. Garrido , J. Marro