Metastability of reversible finite state Markov processes
type: Item
instance of: scholarly article
title: Metastability of reversible finite state Markov processes
zbMATH Open document ID: 1223.60060
published in: Stochastic Processes and their Applications
publication date: 2011-07-22T00:00:00Z
full work available at URL: https://arxiv.org/abs/1009.4090
review text: Metastability is a phenomenon appearing in thermodynamic systems close to a first order phase transition. Based on previous work of them [J. Statist. Physics 140, 1065--1116 (2010; Zbl 1223.60061)], the authors prove the metastable behaviour of finite state continuous-time Markov chains under minimal assumptions on the jump rates. To illustrate the result, they derive the metastable behaviour of the Ising model with a small magnetic field at very low temperature.
reviewed by: Marius Iosifescu
Mathematics Subject Classification ID: 60J27
Mathematics Subject Classification ID: 60J45
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82C31
zbMATH DE Number: 5930905
zbMATH Keywords: metastability
zbMATH Keywords: finite state Markov chain
zbMATH Keywords: reversibility
author: Johel Beltran
author: C. Landim
MaRDI profile type: Publication
OpenAlex ID: W2073228030
arXiv ID: 1009.4090
cites work: Tunneling and metastability of continuous time Markov chains
cites work: Metastability of the three dimensional Ising model on a torus at very low temperatures
cites work: Q5490999
cites work: Metastability in stochastic dynamics of disordered mean-field models
cites work: Metastability and low lying spectra in reversible Markov chains
cites work: Metastability in Glauber dynamics in the low-temperature limit: Beyond exponential asymp\-totics.
cites work: Metastable behavior of stochastic dynamics: A pathwise approach
cites work: Metastability under stochastic dynamics
cites work: Three Lectures on Metastability Under Stochastic Dynamics
cites work: Metastability and nucleation for conservative dynamics
cites work: Droplet growth for three-dimensional Kawasaki dynamics
cites work: Ideal gas approximation for a two-dimensional rarefied gas under Kawasaki dynamics
cites work: Quenched scaling limits of trap models
cites work: Droplet dynamics for asymmetric Ising model
cites work: Shapes of growing droplets -- a model of escape from a metastable phase
cites work: On the essential features of metastability: Tunnelling time and critical configurations
cites work: Critical droplets and metastability for a Glauber dynamics at very low temperatures
cites work: Behavior of droplets for a class of Glauber dynamics at very low temperature
cites work: Markov Chains
cites work: Renormalization group for Markov chains and application to metastability
DOI: 10.1016/J.SPA.2011.03.008
description: scientific article