Zero-Range Processes with Multiple Condensates: Statics and Dynamics

Abstract

The steady-state distributions and dynamical behaviour of Zero Range Processes with hopping rates which are non-monotonic functions of the site occupation are studied. We consider two classes of non-monotonic hopping rates. The first results in a condensed phase containing a large (but subextensive) number of mesocondensates each containing a subextensive number of particles. The second results in a condensed phase containing a finite number of extensive condensates. We study the scaling behaviour of the peak in the distribution function corresponding to the condensates in both cases. In studying the dynamics of the condensate we identify two timescales: one for creation, the other for evaporation of condensates at a given site. The scaling behaviour of these timescales is studied within the Arrhenius law approach and by numerical simulations.

25 pages, 18 figures

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Cited by in corpus (21)

• Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
• Condensation in the inclusion process and related models
• 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
• Discontinuous condensation transition and nonequivalence of ensembles in a zero-range process
• Finite size effects and metastability in zero-range condensation
• Instability of condensation in the zero-range process with random interaction
• Zero-range processes with saturated condensation: the steady state and dynamics
• Structure of the condensed phase in the inclusion process
• Geometric Universality of Currents
• Particle Condensation in Pair Exclusion Process
• Structural phase transition in evolving networks
• Zero-range process with finite compartments: Gentile's statistics and glassiness
• Emergent motion of condensates in mass-transport models
• Condensation in randomly perturbed zero-range processes
• Poisson-Dirichlet asymptotics in condensing particle systems
• Maintenance of order in a moving strong condensate
• Finite-size effects in dynamics of zero-range processes
• Condensation and Clustering in the Driven Pair Exclusion Process
• Emergence of particle clusters in a one-dimensional model: connection to condensation processes
• Condensation in zero-range processes with a fast rate