97-557 Gianfelice M. , Isopi M.

Quantum Methods for Interactin Particle Systems II, Glauber Dynamics for Ising Spin Systems -- Revised version (278K, Postscript) Oct 23, 97

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Abstract. Using the formalism and the results described in other papers in this series, 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 then those previously known. We also give application to some (not necessarily ferromagnetic ) Ising-spin models. Such results provide an upper bound for the critical temperature of the d-dimensional Ising model.

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