Derivation of mean-field equations for stochastic particle systems

DOI10.1016/j.spa.2018.05.006zbMath1478.60261arXiv1703.08811OpenAlexW2602729772MaRDI QIDQ2419979

Watthanan Jatuviriyapornchai, Stefan Grosskinsky

Publication date: 4 June 2019

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

Full work available at URL: https://arxiv.org/abs/1703.08811

zbMATH Keywords

condensationmean-field equationsmisanthrope processesnon-linear birth death chain

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Functional limit theorems; invariance principles (60F17)

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Cites Work

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• Invariant measures of mass migration processes
• Duality for stochastic models of transport
• Dynamics of condensation in the symmetric inclusion process
• Condensation in the inclusion process and related models
• Thermodynamic limit for the invariant measures in supercritical zero range processes
• Rate of relaxation for a mean-field zero-range process
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• Invariant measures for the zero range process
• Solutions of a class of nonlinear master equations
• Condensation in the zero range process: stationary and dynamical properties
• Monotonicity and condensation in homogeneous stochastic particle systems
• A martingale problem for an absorbed diffusion: the nucleation phase of condensing zero range processes
• Size of the largest cluster under zero-range invariant measures
• Condensation in stochastic particle systems with stationary product measures
• Hydrodynamic limit of mean zero condensing zero range processes with sub-critical initial profiles
• Existence of the zero range process and a deposition model with superlinear growth rates
• Metastability in the reversible inclusion process
• Metastability of reversible condensed zero range processes on a finite set
• Zero-range condensation at criticality
• Dynamics of condensation in the totally asymmetric inclusion process
• Coarsening dynamics of zero-range processes
• Coarsening dynamics in condensing zero-range processes and size-biased birth death chains
• Fluid limit theorems for stochastic hybrid systems with application to neuron models
• Mathematical theory of exchange-driven growth
• Processus des misanthropes
• The Differential Equations of Birth-and-Death Processes, and the Stieltjes Moment Problem
• Dynamics of condensation in zero-range processes
• A simple stochastic model for the dynamics of condensation
• Condensation in stochastic mass transport models: beyond the zero-range process
• Kinetische Behandlung der Keimbildung in übersättigten Dämpfen

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