The low-temperature phase of Kac-Ising models

被引：0

作者：

Anton Bovier

Miloš Zahradník

机构：

[1] Weierstrass-Institut für Angewandte Analysis und Stochastik,Department of Mathematics

[2] Charles University,undefined

来源：

Journal of Statistical Physics | 1997年 / 87卷

关键词：

Ising models; Kac potentials; low-temperature Gibbs states; contours; Peierls argument;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We analyze the low-temperature phase of ferromagnetic Kax-Ising models in dimensionsd≥2. We show that if the range of interactions is γ−1, then two disjoint translation-invariant Gibbs states exist if the inverse temperature β satisfies β−1⩾γN, where κ=d(1−ɛ)/(2d+2)(d+1), for any ε>0. The proof 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.

引用

页码：311 / 332

页数：21

共 21 条

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