Using the formalism and the results described in [I] and in [Gi], we discuss the approach to termodynamic equilibrium for discrete spin systems in a framework that generalizes the one originally proposed by R. Glauber. We prove a lower bound extimate for their exponetial rate of convergence to equilibrium, in the high temperature regime which is better than those previously known. (the case of d = 1 is amenable to a more detailed analysis, see [MT]). We also give application to some (not necessarily ferromagnetic) Ising-spin models. These results provide an upper bound for the critical temperature of the d-dimensional Ising model.

Quantum Methods for Interacting Particle Systems II, Glauber Dynamics for Ising Spin Systems / Gianfelice, Michele; Isopi, M.. - In: MARKOV PROCESSES AND RELATED FIELDS. - ISSN 1024-2953. - 4(1998), pp. 411-428.

Quantum Methods for Interacting Particle Systems II, Glauber Dynamics for Ising Spin Systems

GIANFELICE, Michele;
1998

Abstract

Using the formalism and the results described in [I] and in [Gi], we discuss the approach to termodynamic equilibrium for discrete spin systems in a framework that generalizes the one originally proposed by R. Glauber. We prove a lower bound extimate for their exponetial rate of convergence to equilibrium, in the high temperature regime which is better than those previously known. (the case of d = 1 is amenable to a more detailed analysis, see [MT]). We also give application to some (not necessarily ferromagnetic) Ising-spin models. These results provide an upper bound for the critical temperature of the d-dimensional Ising model.
Glauber dynamics; Ising model; Interacting particle systems
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11770/137746
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