Criterion for phase separation in one-dimensional driven systems

Abstract

A general criterion for the existence of phase separation in driven one-dimensional systems is proposed. It is suggested that phase separation is related to the size dependence of the steady-state currents of domains in the system. A quantitative criterion for the existence of phase separation is conjectured using a correspondence made between driven diffusive models and zero-range processes. Several driven diffusive models are discussed in light of the conjecture.

Cited by in corpus (106)

• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Phase Coexistence in Driven One Dimensional Transport
• Canonical structure of dynamical fluctuations in mesoscopic nonequilibrium steady states
• Condensation in the zero range process: stationary and dynamical properties
• Localization of shocks in driven diffusive systems without particle number conservation
• Critical phenomena and universal dynamics in one-dimensional driven diffusive systems with two species of particles
• The Nature of the Condensate in Mass Transport Models
• Canonical Analysis of Condensation in Factorised Steady State
• Current fluctuations in the zero-range process with open boundaries
• Zero-range process with open boundaries
• Factorised Steady States in Mass Transport Models
• Dynamics of the condensate in zero-range processes
• Interaction driven real-space condensation
• Novel phase-separation transition in one-dimensional driven models
• Zero range model of traffic flow
• Condensation and Extreme Value Statistics
• Long range correlations and phase transition in non-equilibrium diffusive systems
• Sample-Dependent Phase Transitions in Disordered Exclusion Models
• Factorised Steady States in Mass Transport Models on an Arbitrary Graph
• Stationary and dynamical properties of a zero range process on scale-free networks
• Condensation in a zero range process on weighted scale-free networks
• Phase Transition in Two Species Zero-Range Process
• From urn models to zero-range processes: statics and dynamics
• Condensation in stochastic mass transport models: beyond the zero-range process
• Modelling one-dimensional driven diffusive systems by the Zero-Range Process
• Analytic study of clustering in shaken granular material using zero-range processes
• Condensation in Temporally Correlated Zero-Range Dynamics
• Explosive condensation in a mass transport model
• Exact fluctuating hydrodynamics of active lattice gases -- Typical fluctuations
• Dynamics of a disordered, driven zero range process in one dimension
• A model for bidirectional traffic of cytoskeletal motors
• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Finite size effects and metastability in zero-range condensation
• Hysteresis in one-dimensional reaction-diffusion systems
• The partially asymmetric zero range process with quenched disorder
• Condensation in zero-range processes on inhomogeneous networks
• Anomalous nucleation far from equilibrium
• Sharp crossover and anomalously large correlation length in driven systems
• Instability of condensation in the zero-range process with random interaction
• Traffic jams and ordering far from thermal equilibrium
• Condensation Transitions in Two Species Zero-Range Process
• Boundary-induced abrupt transition in the symmetric exclusion process
• Occupation Probabilities and Fluctuations in the Asymmetric Simple Inclusion Process
• Application of thermodynamics to driven systems
• Product Measure Steady States of Generalized Zero Range Processes
• Phase fluctuations in the ABC model
• Hydrodynamics of the zero-range process in the condensation regime
• Particle Ordering in Zero Range Process : Exact spatial correlations of the corresponding exclusion models
• Structure of the stationary state of the asymmetric target process
• Driven diffusive systems with mutually interactive Langmuir kinetics
• Dynamic instability transitions in 1D driven diffusive flow with nonlocal hopping
• Condensation Transition in Polydisperse Hard Rods
• Motion of condensates in non-Markovian zero-range dynamics
• Nonexistence of motility induced phase separation transition in one dimension
• Phase diagram of the ABC model with nonconserving processes
• Cluster and virial expansions for the multi-species Tonks gas
• Flocking in One Dimension: Asters and Reversals
• Ergodicity breaking in one-dimensional reaction-diffusion systems
• Condensation Transitions in a One-Dimensional Zero-Range Process with a Single Defect Site
• Coarsening dynamics of zero-range processes
• Condensation and coexistence in a two-species driven model
• Two-point correlation function of an exclusion process with hole-dependent rates
• On-site residence time in a driven diffusive system: violation and recovery of mean-field
• Will jams get worse when slow cars move over?
• Dynamic Screening in a Two-Species Asymmetric Exclusion Process
• Dynamical scaling for probe particles in a driven fluid
• Cluster growth and dynamic scaling in a two-lane driven diffusive system
• Phase transition in an exactly solvable reaction-diffusion process
• Coarsening dynamics in a two-species zero-range process
• Finite-size effects on the dynamics of the zero-range process
• Jamming transition in a driven lattice gas
• Assisted exchange models in one dimension
• Condensation transition in zero-range processes with diffusion
• Emerging universality classes in thermally-assisted activation of interacting diffusive systems: A perturbative hydrodynamic approach
• Condensation and symmetry-breaking in the zero-range process with weak site disorder
• Multiline queues with spectral parameters
• Nonequilibrium phase transition in a non integrable zero-range process
• Phase separation transition of reconstituting k-mers in one dimension
• Condensation induced by coupled transport processes
• Cluster-factorized steady states in finite range processes
• Emergent motion of condensates in mass-transport models
• Condensation in randomly perturbed zero-range processes
• On Random Allocation Models in the Thermodynamic Limit
• Arrival Times in a Zero-Range Process with Injection and Decay
• Traffic of Molecular Motors
• Zero range and finite range processes with asymmetric rate functions
• Mass transport perspective on an accelerated exclusion process: Analysis of augmented current and unit-velocity phases
• Reentrant condensation transition in a two species driven diffusive system
• Phase Separation Transition in a Nonconserved Two Species Model
• Steady States of a Nonequilibrium Lattice Gas
• Open boundary conditions in stochastic transport processes with pair-factorized steady states
• Power Spectra in a Zero-Range Process on a Ring: Total Occupation Number in a Segment
• Phase coexistence and spatial correlations in reconstituting k-mer models
• Phase separation transition in anti-ferromagnetically interacting particle systems
• A heterogeneous zero-range process related to a two-dimensional walk model
• Zero-range process with long-range interactions at a T-junction
• Factorised steady states for multi-species mass transfer models
• One-dimensional Particle Processes with Acceleration/Braking Asymmetry
• Travelling with/against the flow. Deterministic diffusive driven systems
• Asymmetric simple exclusion process on a random comb: Transport properties in the stationary state
• Mean-field critical behaviour and ergodicity break in a nonequilibrium one-dimensional RSOS growth model
• Absence of phase coexistence in disordered exclusion processes with bypassing
• Condensation in zero-range processes with a fast rate
• Condensation transition in a conserved generalized interacting zero-range process
• Particle hopping on a ladder: exact solution using multibalance