Condensation and symmetry-breaking in the zero-range process with weak site disorder

DOI10.1016/j.spa.2016.04.028zbMath1366.60110arXiv1509.07672OpenAlexW2234946027WikidataQ62458328 ScholiaQ62458328MaRDI QIDQ326829

Cécile Mailler, Daniel Ueltschi, Peter Mörters

Publication date: 12 October 2016

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.07672

zbMATH Keywords

condensationcentral limit theoremgamma distributionzero-range processinteracting particle systemgrand canonical ensembleextremesdisordered systemextended condensatesymmetry-breakingweak disorder

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items

Kingman's model with random mutation probabilities: convergence and condensation. II ⋮ Condensation with two constraints and disorder

Cites Work

• Unnamed Item
• Emergence of condensation in Kingman's model of selection and mutation
• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• Random partitions in statistical mechanics
• Thermodynamic limit for the invariant measures in supercritical zero range processes
• Interaction of Markov processes
• Condensation in the zero range process: stationary and dynamical properties
• Convergence to the maximal invariant measure for a zero-range process with random rates.
• Finite size effects and metastability in zero-range condensation
• Zero-range condensation at criticality
• Nonequilibrium statistical mechanics of the zero-range process and related models
• Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder