Explosive condensation in a mass transport model

Abstract

We study a far-from-equilibrium system of interacting particles, hopping between sites of a 1d lattice with a rate which increases with the number of particles at interacting sites. We find that clusters of particles, which initially spontaneously form in the system, begin to move at increasing speed as they gain particles. Ultimately, they produce a moving condensate which comprises a finite fraction of the mass in the system. We show that, in contrast with previously studied models of condensation, the relaxation time to steady state decreases as an inverse power of ln L with system size L and that condensation is instantenous for L-->infinity.

5 pages, 5 figures, minor changes, references added

References in corpus (5)

• Dynamics of the condensate in zero-range processes
• Interaction driven real-space condensation
• Condensation in the inclusion process and related models
• Exchange Driven Growth
• Coalescence of particles by differential sedimentation

Cited by in corpus (29)

• Constraint driven condensation in large fluctuations of linear statistics
• Condensation in stochastic particle systems with stationary product measures
• Dynamics of condensation in the symmetric inclusion process
• Condensation in stochastic mass transport models: beyond the zero-range process
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
• Condensation transition in joint large deviations of linear statistics
• Dynamics of condensation in the totally asymmetric inclusion process
• Motion of condensates in non-Markovian zero-range dynamics
• Coarsening dynamics in condensing zero-range processes and size-biased birth death chains
• Structure of the condensed phase in the inclusion process
• Derivation of mean-field equations for stochastic particle systems
• Explosive condensation in symmetric mass transport models
• Monotonicity and Condensation in Homogeneous Stochastic Particle Systems
• The exchange-driven growth model: basic properties and longtime behavior
• A dynamical transition and metastability in a size-dependent zero-range process
• Mathematical Theory of Exchange-driven Growth
• Weakly Non-Equilibrium Properties of Symmetric Inclusion Process with Open Boundaries
• Self-similar behavior of the exchange-driven growth model with product kernel
• Emergent motion of condensates in mass-transport models
• Metastable Markov chains
• Out of equilibrium stationary states, percolation, and sub-critical instabilities in a fully non conservative system
• Poisson-Dirichlet asymptotics in condensing particle systems
• Zero range and finite range processes with asymmetric rate functions
• Condensation in models with factorized and pair-factorized stationary states
• Size-biased diffusion limits and the inclusion process
• Maintenance of order in a moving strong condensate
• Mass Exchange Processes with Input
• Emergence of particle clusters in a one-dimensional model: connection to condensation processes
• Assortative Exchange Processes