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Lectures on Glauber dynamics for discrete spin models. (English) Zbl 1051.82514

Bertoin, J. (ed.) et al., Lectures on probability theory and statistics. Ecole d’eté de Probabilités de Saint-Flour XXVII–1997, Saint-Flour, France, July 7–23, 1997. Berlin: Springer (ISBN 3-540-66593-5). Lect. Notes Math. 1717, 93-191 (1999).
Summary: These notes cover the subject matter of a course I gave in the summer 1997 at the school in probability theory in Saint-Flour. I review in a self-contained way the state of the art, sometimes providing new and simpler proofs of the most relevant results, of the theory of Glauber dynamics for classical lattice spin models of statistical mechanics. The material covers the dynamics in the one-phase region, in the presence of boundary phase transitions, in the phase coexistence region for the two-dimensional Ising model and in the so-called Griffiths phase for random systems.
For the entire collection see [Zbl 0930.00052].

MSC:

82C05 Classical dynamic and nonequilibrium statistical mechanics (general)
60K35 Interacting random processes; statistical mechanics type models; percolation theory
82C20 Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics
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