- 97-302 Gianfelice M. , Isopi M.
- Quantum Methods for Interactin Particle Systems II, Glauber
Dynamics for Ising Spin Systems
(221K, PostScript)
May 27, 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, which in
dimension two coincides with the one computed with the equilibrium statistical
mechanics techniques.
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