Interaction driven real-space condensation

Abstract

We study real-space condensation in a broad class of stochastic mass transport models. We show that the steady state of such models has a pair-factorised form which generalizes the standard factorized steady states. The condensation in this class of models is driven by interactions which give rise to a spatially extended condensate that differs fundamentally from the previously studied examples. We present numerical results as well as a theoretical analysis of the condensation transition and show that the criterion for condensation is related to the binding-unbinding transition of solid-on-solid interfaces.

4 pages

References in corpus (20)

• Evolution of networks
• Statistical Physics of Vehicular Traffic and Some Related Systems
• Nonequilibrium Statistical Mechanics of the Zero-Range Process and Related Models
• Discrete stochastic models for traffic flow
• Jamming transition in a homogeneous one-dimensional system: the Bus Route Model
• Criterion for phase separation in one-dimensional driven systems
• Nonequilibrium Phase Transitions in Models of Aggregation, Adsorption, and Dissociation
• 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
• Wealth Condensation in Pareto Macro-Economies
• Zero-range process with open boundaries
• Factorised Steady States in Mass Transport Models
• Sudden Collapse of a Granular Cluster
• Universal Asymptotic Statistics of Maximal Relative Height in One-dimensional Solid-on-solid Models
• Factorised Steady States in Mass Transport Models on an Arbitrary Graph
• 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

Cited by in corpus (58)

• Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
• Condensation transition in the late-time position of a Run-and-Tumble particle
• Intensive thermodynamic parameters in nonequilibrium systems
• Condensation in stochastic particle systems with stationary product measures
• Condensation in stochastic mass transport models: beyond the zero-range process
• Explosive condensation in a mass transport model
• Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Tuning the shape of the condensate in spontaneous symmetry breaking
• Inequivalence of nonequilibrium path ensembles: the example of stochastic bridges
• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Approximate thermodynamic structure for driven lattice gases in contact
• Anomalous scaling and first-order dynamical phase transition in large deviations of the Ornstein-Uhlenbeck process
• Spacetime condensation in (2+1)-dimensional CDT from a Horava-Lifshitz minisuperspace model
• Instability of condensation in the zero-range process with random interaction
• Mass condensation in one dimension with pair-factorized steady states
• Occupation Probabilities and Fluctuations in the Asymmetric Simple Inclusion Process
• Structure of the stationary state of the asymmetric target process
• Equivalence of ensembles for two-species zero-range invariant measures
• Gammalike mass distributions and mass fluctuations in conserved-mass transport processes
• Pair-factorized steady states on arbitrary graphs
• Zeroth law of thermodynamics for nonequilibrium steady states in contact
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Criticality and Condensation in a Non-Conserving Zero Range Process
• Structure of the condensed phase in the inclusion process
• Participation ratio for constraint-driven condensation with superextensive mass
• Quantum widening of CDT universe
• A dynamical transition and metastability in a size-dependent zero-range process
• Conditioned random walks and interaction-driven condensation
• Condensation of degrees emerging through a first-order phase transition in classical random graphs
• Area distribution and the average shape of a Lévy bridge
• Numerical survey of the tunable condensate shape and scaling laws in pair-factorized steady states
• Condensation phenomena with distinguishable particles
• Reentrant condensation transition in a model of driven scalar active matter with diffusivity edge
• Particle Condensation in Pair Exclusion Process
• Emergent motion of condensates in mass-transport models
• Cluster-factorized steady states in finite range processes
• Condensation in randomly perturbed zero-range processes
• Zero range and finite range processes with asymmetric rate functions
• Condensation in models with factorized and pair-factorized stationary states
• A criterion for condensation in kinetically constrained one-dimensional transport models
• Coarsening, condensates and extremes in aggregation-fragmentation models
• Open boundary conditions in stochastic transport processes with pair-factorized steady states
• Detecting Structure of Complex Network by Quantum Bosonic Dynamics
• Reentrant condensation transition in a two species driven diffusive system
• Matrix Product States for Interacting Particles without Hardcore Constraints
• Boundary drive induced formation of aggregate condensates in stochastic transport with short-range interactions
• Factorised steady states for multi-species mass transfer models
• The validity of the no-pumping theorem in systems with finite-range interactions between particles
• Dynamics of condensate formation in stochastic transport with pair-factorized steady states: Nucleation and coarsening time scales
• Emergence of dynamic phases in the presence of different kinds of open boundaries in stochastic transport with short-range interactions
• A simple non-equilibrium, statistical-physics toy model of thin-film growth
• Condensation and Clustering in the Driven Pair Exclusion Process
• Condensation in zero-range processes with a fast rate
• Landau Theory of Causal Dynamical Triangulations
• Condensation transition in a conserved generalized interacting zero-range process
• First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension
• Particle hopping on a ladder: exact solution using multibalance