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On the Location of the 1-particle Branch of the Spectrum of the Disordered Stochastic Ising Model

M. Gianfelice·M. Isopi
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Abstract

We analyse the lower non trivial part of the spectrum of the generator of the Glauber dynamics, which we consider a positive operator, for a d-dimensional nearest neighbour Ising model with a bounded random potential. We prove conjecture 1 in a paper by Albeverio et al.(referred as [AMSZ]) that is, for sufficently large values of the temperature, the first band of the spectrum of the generator of the process coincides with a closed non random segment of the real line.

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M. Gianfelice, M. Isopi. 2003-11-07. On the Location of the 1-particle Branch of the Spectrum of the Disordered Stochastic Ising Model. https://doi.org/10.3934/nhm.2011.6.127

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