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相关论文: Hysteresis in one-dimensional reaction-diffusion s…

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We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two-phenotype bacteria which switch phenotype in response to…

偏微分方程分析 · 数学 2014-11-04 Pavel Gurevich , Dmitrii Rachinskii

We identify a mechanism for a type of hysteresis which we predict to occur in a variety of depinning transitions. We show that the phenomenon of one-way hysteresis is generic to stress-overshoot models of the depinning transition, and we…

无序系统与神经网络 · 物理学 2023-02-07 Ron Maimon , J. M. Schwarz

This short review covers a wide selection of topics from a multidisciplinary area of dynamics of nonequilibrium systems in physics, chemistry, biology. Theoretical models of colloid particle and protein deposition and adhesion at surfaces,…

凝聚态物理 · 物理学 2007-05-23 Vladimir Privman

Nonequilibrium steady states in driven diffusive systems exhibit many features which are surprising or counterintuitive, given our experience with equilibrium systems. We introduce the prototype model and review its unusual behavior in…

统计力学 · 物理学 2015-06-25 B. Schmittmann , R. K. P. Zia

We investigate a one-dimenisonal Hamiltonian system that describes a system of particles interacting through short-range repulsive potentials. Depending on the particle mean energy, $\epsilon$, the system demonstrates a spectrum of kinetic…

统计力学 · 物理学 2009-11-10 S. Denisov , A. Filippov , J. Klafter , M. Urbakh

We study the dynamics of a viscoelastic medium driven through quenched disorder by expanding about mean field theory in $6-\epsilon$ dimensions. The model exhibits a critical point separating a region where the dynamics is hysteretic with a…

凝聚态物理 · 物理学 2009-11-07 M. Cristina Marchetti , Karin A. Dahmen

The characterization of the formation mechanisms of amorphous solids is a large avenue for research, since understanding its non-Arrhenius behavior is challenging to overcome. In this context, we present one path toward modeling the…

In the past the study of reaction-diffusion systems has greatly contributed to our understanding of the behavior of many-body systems far from equilibrium. In this paper we aim at characterizing the properties of diffusion limited reactions…

统计力学 · 物理学 2015-05-14 Sven Dorosz , Michel Pleimling

Hysteresis is a nonlinear phenomenon with memory effects, where a system's output depends on both its current state and past states. It is prevalent in various physical and mechanical systems, such as yielding structures under seismic…

计算工程、金融与科学 · 计算机科学 2026-04-03 Siyuan Yang , Wei Liu , Zhilu Lai

Systems driven out of equilibrium can often exhibit behaviour not seen in systems in thermal equilibrium- for example phase transitions in one-dimensional systems. In this talk I will review several `condensation' transitions that occur…

统计力学 · 物理学 2007-05-23 M. R. Evans

Electro-energy-reaction-diffusion systems are thermodynamically consistent continuum models for reaction-diffusion processes that account for temperature and electrostatic effects in a way that total charge and energy are conserved. The…

偏微分方程分析 · 数学 2026-04-09 Katharina Hopf , Michael Kniely , Alexander Mielke

We study the dynamic response of driven systems in the presence of quenched disorder. A simple heuristic model for hysteretic creep of elastic manifolds is proposed and evaluated numerically. It provides a qualitative explanation of the…

凝聚态物理 · 物理学 2009-10-28 Stefan Scheidl , Valerii Vinokur

We use a simple gas model to study non-equilibrium aspects of the multiparticle dynamics relevant to heavy ion collisions. By performing numerical simulations for various initial conditions we identify several characteristic features of the…

核理论 · 物理学 2009-11-06 J. P. Bondorf , H. Feldmeier , I. N. Mishustin , G. Neergaard

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

统计力学 · 物理学 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

The dynamics of a coupled two-component nonequilibrium system is examined by means of continuum field theory representing the corresponding master equation. Particles of species A may perform hopping processes only when particles of…

统计力学 · 物理学 2009-10-31 S. Trimper , U. C. Taeuber , G. M. Schuetz

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 characterize a transition from normal to ballistic diffusion in a bouncing ball dynamics. The system is composed of a particle, or an ensemble of non-interacting particles, experiencing elastic collisions with a heavy and periodically…

This paper provides an introduction to some stochastic models of lattice gases out of equilibrium and a discussion of results of various kinds obtained in recent years. Although these models are different in their microscopic features, a…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona--Lasinio , C. Landim

A general system of particles (of one or several species) on a one dimensional lattice with boundaries is considered. Two general behaviors of such systems are investigated. The stationary behavior of the system, and the dominant way of the…

统计力学 · 物理学 2015-06-24 Mohammad Khorrami , Amir Aghamohammadi

Diffusive transport of a particle in spatially correlated random energy landscape having exponential density of states has been considered. We exactly calculate the diffusivity in the nondispersive quasi-equilibrium transport regime and…

无序系统与神经网络 · 物理学 2018-02-14 S. V. Novikov