ar X iv : c on d - m at / 9 60 50 32 v 1 6 M ay 1 99 6 THE LOW - TEMPERATURE PHASE OF KAC - ISING MODELS
نویسنده
چکیده
We analyse the low temperature phase of ferromagnetic Kac-Ising models in dimensions d ≥ 2. We show that if the range of interactions is γ, then two disjoint translation invariant Gibbs states exist, if the inverse temperature β satisfies β − 1 ≥ γ, where κ = d(1−ǫ) (2d+1)(d+1) , for any ǫ > 0. The prove involves the blocking procedure usual for Kac models and also a contour representation for the resulting long-range (almost) continuous spin system which is suitable for the use of a variant of the Peierls argument.
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تاریخ انتشار 1997