Constructive Criterion for the Uniqueness of Gibbs Field
Constructive Criterion for the Uniqueness of Gibbs Field
复制标题
吉布斯场唯一性的构造性判据
DOI：
10.1007/978-1-4899-6653-7_20
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发表时间：
1985
影响因子：
1.4
通讯作者：
S. Shlosman
中科院分区：
文献类型：
--
作者：
R. Dobrushin;S. Shlosman
在这篇报道中，我们考虑具有给定平移不变势U的v维格子系统，我们的主要结果是在势U上构造了一组条件Cv，其中V⊂Zv是任意有限体积，使得如果对某些V，条件Cv对于相互作用U成立，则具有这种相互作用的Gibbs态是唯一的。当然，条件CV的复杂性随着体积V的增加而增加。单点准则c{t}是由我们中的一人在前面[1]中引入的。后来被广泛使用(见[2]-[7])。
In this report we consider v -dimensional lattice systems with a given translation-invariant potential U. Our main result is the construction of a set of conditions CV on the potential U, where V⊂Z v is any finite volume, such that if for some V the condition CV holds for the interaction U, then the Gibbs State with this interaction is unique. The complexity of the conditions CV increases, of course, with the volume V. The one-point criterion, c{t}, was introduced earlier by one of us [1]. It was intensively used later (see [2]-[7]).