UPPER-BOUNDS ON T(C) FOR ONE-DIMENSIONAL ISING SYSTEMS

被引：6

作者：

MONROE, JL

机构：

[1] Department of Physics, Beaver Campus, Penn State University, Monáca, 15061, Pennsylvania

来源：

JOURNAL OF STATISTICAL PHYSICS | 1994年 / 76卷 / 5-6期

关键词：

ISING MODEL; LONG-RANGE INTERACTIONS; CRITICAL TEMPERATURE;

D O I：

10.1007/BF02187074

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present upper bounds on the critical temperature of one-dimensional Ising models with long-range, 1/n(alpha) interactions, where 1 < alpha less-than-or-equal-to 2. In particular for the often studied case of alpha = 2 we have an upper bound on T(c) which is less than the T(c) found by a number of approximation techniques. Also for the case where alpha is small, such as alpha = 1.1, we obtain rigorous bounds which are extremely close, within 1.0%, to those found by approximation methods.

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收藏

页码：1505 / 1510

页数：6

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