Ornstein-Zernike theory for finite range Ising models above Tc

被引：0

作者：

Massimo Campanino

Dmitry Ioffe

Y van Velenik

机构：

[1] Dipartimento di Matematica,

[2] Università di Bologna,undefined

[3] piazza di Porta S. Donato 5,undefined

[4] I-40126 Bologna,undefined

[5] Italy. e-mail: campanin@dm.unibo.it,undefined

[6] Faculty of Industrial Engineering,undefined

[7] Technion,undefined

[8] Haifa 3200,undefined

[9] Israel. e-mail: ieioffe@ie.technion.ac.il,undefined

[10] Laboratoire d'Analyse,undefined

[11] Topologie et Probabilités,undefined

[12] UMR-CNRS 6632,undefined

[13] CMI,undefined

[14] Université de Provence,undefined

[15] 39 rue Joliot Curie,undefined

[16] 13453 Marseille,undefined

[17] France. e-mail: velenik@cmi.univ-mrs.fr,undefined

来源：

Probability Theory and Related Fields | 2003年 / 125卷

关键词：

Phase Transition; Temperature Region; Exponential Decay; Inverse Correlation; Correlation Length;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We derive a precise Ornstein-Zernike asymptotic formula for the decay of the two-point function 〈Σ0Σx〉β in the general context of finite range Ising type models on ℤd. The proof relies in an essential way on the a-priori knowledge of the strict exponential decay of the two-point function and, by the sharp characterization of phase transition due to Aizenman, Barsky and Fernández, goes through in the whole of the high temperature region β<βc. As a byproduct we obtain that for every β<βc, the inverse correlation length ξβ is an analytic and strictly convex function of direction.

引用

页码：305 / 349

页数：44