A Note on the Ising Model in High Dimensions
نویسندگان
چکیده
We consider the d-dimensional Ising model with a nearest neighbor ferromagnetic interaction J(d) = l/4d. We show that as d -» oo the -f phase (and the phase) approaches a product measure with density given by the mean field approximation. In particular the spontaneous magnetization converges to its mean field value. A similar result holds for the unique Gibbs measure of the system subject to an external field h φ 0.
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تاریخ انتشار 2004