Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability

DOI10.1007/s00440-008-0189-zzbMath1187.82076arXiv0712.0790OpenAlexW2005219875MaRDI QIDQ843708

Yuval Peres, David A. Levin, Malwina J. Luczak

Publication date: 15 January 2010

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

Full work available at URL: https://arxiv.org/abs/0712.0790

zbMATH Keywords

meta-stability Markov chains Ising model Glauber dynamics mixing time coupling mean-field model Curie-Weiss model cut-off heat-bath dynamics

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20)

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