Second time scale of the metastability of reversible inclusion processes

DOI10.1007/s00440-021-01036-6zbMath1472.60131arXiv2007.05918OpenAlexW3134993639MaRDI QIDQ2041660

Seonwoo Kim

Publication date: 23 July 2021

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

Full work available at URL: https://arxiv.org/abs/2007.05918

zbMATH Keywords

metastabilityinteracting particle systemsmultiple time scalesinclusion process

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of continuous-time Markov processes on discrete state spaces (60J28)

Related Items (5)

Metastability of Blume-Capel model with zero chemical potential and zero external field ⋮ Metastability from the large deviations point of view: a \(\varGamma\)-expansion of the level two large deviations rate functional of non-reversible finite-state Markov chains ⋮ Energy landscape and metastability of stochastic Ising and Potts models on three-dimensional lattices without external fields ⋮ Metastability of the three-state Potts model with general interactions ⋮ Correction to: ``Second time scale of the metastability of reversible inclusion processes

Cites Work

• Ergodic theory of the symmetric inclusion process
• Dynamics of condensation in the symmetric inclusion process
• Coupling and hydrodynamic limit for the inclusion process
• Condensation in the inclusion process and related models
• Metastability of reversible finite state Markov processes
• Correlation inequalities for interacting particle systems with duality
• Tunneling and metastability of continuous time Markov chains
• Metastability in a condensing zero-range process in the thermodynamic limit
• Condensation of non-reversible zero-range processes
• Tunneling and metastability of continuous time Markov chains. II: The nonreversible case
• Metastable Markov chains: from the convergence of the trace to the convergence of the finite-dimensional distributions
• Condensation of SIP particles and sticky Brownian motion
• A topology for limits of Markov chains
• Structure of the condensed phase in the inclusion process
• Duality and hidden symmetries in interacting particle systems
• Metastability in the reversible inclusion process
• Metastability of reversible condensed zero range processes on a finite set
• A Dirichlet principle for non reversible Markov chains and some recurrence theorems
• Metastability for a non-reversible dynamics: the evolution of the condensate in totally asymmetric zero range processes
• Dynamics of condensation in the totally asymmetric inclusion process
• Condensation and metastable behavior of non-reversible inclusion processes
• Duality and exact correlations for a model of heat conduction
• Metastability

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