Criticality and Condensation in a Non-Conserving Zero Range Process

Abstract

The Zero-Range Process, in which particles hop between sites on a lattice under conserving dynamics, is a prototypical model for studying real-space condensation. Within this model the system is critical only at the transition point. Here we consider a non-conserving Zero-Range Process which is shown to exhibit generic critical phases which exist in a range of creation and annihilation parameters. The model also exhibits phases characterised by mesocondensates each of which contains a subextensive number of particles. A detailed phase diagram, delineating the various phases, is derived.

15 pages, 4 figure, published versio

References in corpus (19)

• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• 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
• Condensation in the zero range process: stationary and dynamical properties
• The Nature of the Condensate in Mass Transport Models
• Canonical Analysis of Condensation in Factorised Steady State
• Phase separation in disordered exclusion models
• Current fluctuations in the zero-range process with open boundaries
• Zero-range process with open boundaries
• Interaction driven real-space condensation
• Zero range model of traffic flow
• Phase Transition in Two Species Zero-Range Process
• Dynamics of a disordered, driven zero range process in one dimension
• Stationary measures and hydrodynamics of zero range processes with several species of particles
• Critical phase in non-conserving zero-range processes and equilibrium networks
• Traffic jams and ordering far from thermal equilibrium
• Phase Transitions in Traffic Models
• Condensation and coexistence in a two-species driven model

Cited by in corpus (9)

• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Zero-Range Processes with Multiple Condensates: Statics and Dynamics
• Bose--Einstein Condensation in the Large Deviations Regime with Applications to Information System Models
• Two-point correlation function of an exclusion process with hole-dependent rates
• Steady states in a non-conserving zero-range process with extensive rates as a model for the balance of selection and mutation
• Particle Condensation in Pair Exclusion Process
• Structural phase transition in evolving networks
• Condensation in randomly perturbed zero-range processes
• Condensation and Clustering in the Driven Pair Exclusion Process