Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models

Abstract

We review recent progress on the zero-range process, a model of interacting particles which hop between the sites of a lattice with rates that depend on the occupancy of the departure site. We discuss several applications which have stimulated interest in the model such as shaken granular gases and network dynamics, also we discuss how the model may be used as a coarse-grained description of driven phase-separating systems. A useful property of the zero-range process is that the steady state has a factorised form. We show how this form enables one to analyse in detail condensation transitions, wherein a finite fraction of particles accumulate at a single site. We review condensation transitions in homogeneous and heterogeneous systems and also summarise recent progress in understanding the dynamics of condensation. We then turn to several generalisations which also, under certain specified conditions, share the property of a factorised steady state. These include several species of particles; hop rates which depend on both the departure and the destination sites; continuous masses; parallel discrete-time updating; non-conservation of particles and sites.

54 pages, 9 figures, review article

References in corpus (55)

• Emergence of scaling in random networks
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Connectivity of Growing Random Networks
• Organization of Growing Random Networks
• Bose-Einstein condensation in complex networks
• Phase Transitions in one-dimensional nonequilibrium systems
• Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
• Bose-Einstein Condensation In Disordered Exclusion Models and Relation to Traffic Flow
• Sand as Maxwell's demon
• Condensation in the zero range process: stationary and dynamical properties
• Statistical ensemble of scale-free random graphs
• Criterion for phase separation in one-dimensional driven systems
• Glassiness in a model without energy barriers
• Nonequilibrium Phase Transitions in Models of Aggregation, Adsorption, and Dissociation
• Exact solution of a partially asymmetric exclusion model using a deformed oscillator algebra
• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• Phase separation in disordered exclusion models
• Condensation in the Backgammon model
• Exact Steady States of Disordered Hopping Particle Models with Parallel and Ordered Sequential Dynamics
• Hysteretic clustering in granular gas
• Wealth Condensation in Pareto Macro-Economies
• Are Steadily Moving Crystals Unstable?
• Factorised Steady States in Mass Transport Models
• Spontaneous Breaking of Translational Invariance in One-Dimensional Stationary States on a Ring
• Sudden Collapse of a Granular Cluster
• Spatial Particle Condensation for an Exclusion Process on a Ring
• Nonequilibrium Phase Transition in a Model of Diffusion, Aggregation and Fragmentation
• Principles of statistical mechanics of random networks
• Spontaneous Breaking of Translational Invariance and Spatial Condensation in Stationary States on a Ring: I. The Neutral System
• Particles Sliding on a Fluctuating Surface: Phase Separation and Power Laws
• Spontaneous Ratchet Effect in a Granular Gas
• Novel phase-separation transition in one-dimensional driven models
• Partially asymmetric exclusion models with quenched disorder
• A simple stochastic model for the dynamics of condensation
• Bifurcation Diagram for Compartmentalized Granular Gases
• Phase ordering and roughening on growing films
• Phase transition in fluctuating branched geometry
• Competitive Clustering in a Bi-disperse Granular Gas
• Urn model of separation of sand
• Bethe ansatz solution of zero-range process with nonuniform stationary state
• Nonequilibrium dynamics of urn models
• Phase Transition in Two Species Zero-Range Process
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Finite size scaling of the balls in boxes model
• Dynamics of a disordered, driven zero range process in one dimension
• Stationary measures and hydrodynamics of zero range processes with several species of particles
• Dynamics of the breakdown of granular clusters
• Phase transition in a non-conserving driven diffusive system
• Construction of the factorized steady state distribution in models of mass transport
• Sharp crossover and anomalously large correlation length in driven systems
• Condensation Transitions in Two Species Zero-Range Process
• Matrix product approach for the asymmetric random average process
• Analytic study of the three-urn model for separation of sand
• Locating the minimum : Approach to equilibrium in a disordered, symmetric zero range process
• Analytic study of the urn model for separation of sand

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