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Decay to equilibrium in random spin systems on a lattice. II

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Abstract

We study the continuous spin systems on ad≥3-dimensional lattice with random ferromagnetic interactions of finite range. We show that, if the temperature is sufficiently high and the probability of interaction to be large is small enough, the almost sure decay to equilibrium has a subexponential upper bound.

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Guionnet, A., Zegarlinski, B. Decay to equilibrium in random spin systems on a lattice. II. J Stat Phys 86, 899–904 (1997). https://doi.org/10.1007/BF02199123

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  • DOI: https://doi.org/10.1007/BF02199123

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