A martingale problem for an absorbed diffusion: the nucleation phase of condensing zero range processes

DOI10.1007/s00440-016-0749-6zbMath1379.60090arXiv1505.00980OpenAlexW2963403569MaRDI QIDQ1682501

Claudio Landim, Johel Beltran, Milton D. Jara

Publication date: 30 November 2017

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.00980

zbMATH Keywords

metastabilityhydrodynamic limitmartingale problemsingular driftabsorption at the boundarybehavior after absorptioncondensing zero-range processdiffusion with boundary conditionsnucleation phase

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes (60J60)

Related Items (10)

Mathematical theory of exchange-driven growth ⋮ The exchange-driven growth model: basic properties and longtime behavior ⋮ Metastable Markov chains ⋮ Derivation of mean-field equations for stochastic particle systems ⋮ Large time behavior of exchange-driven growth ⋮ Metastability in a condensing zero-range process in the thermodynamic limit ⋮ Unnamed Item ⋮ Condensation of SIP particles and sticky Brownian motion ⋮ Self-similar behavior of the exchange-driven growth model with product kernel ⋮ Metastable behavior of weakly mixing Markov chains: the case of reversible, critical zero-range processes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Conditional distribution of heavy tailed random variables on large deviations of their sum
• Tunneling and metastability of continuous time Markov chains
• Thermodynamic limit for the invariant measures in supercritical zero range processes
• On optimal arbitrage
• Condensation in the zero range process: stationary and dynamical properties
• Size of the largest cluster under zero-range invariant measures
• Hydrodynamic limit of mean zero condensing zero range processes with sub-critical initial profiles
• Metastability of reversible condensed zero range processes on a finite set
• Zero-range condensation at criticality
• Condensation for a fixed number of independent random variables
• Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes
• Coarsening dynamics of zero-range processes
• Coarsening dynamics in condensing zero-range processes and size-biased birth death chains
• Nonequilibrium statistical mechanics of the zero-range process and related models
• Dynamics of condensation in zero-range processes
• Diffusion processes with boundary conditions

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