A Contour Method on Cayley tree

U. A. Rozikov

doi:10.1007/s10955-007-9455-1

A Contour Method on Cayley tree

数学物理 2009-11-11 v1 math.MP

作者: U. A. Rozikov

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摘要

We consider a finite range lattice models on Cayley tree with two basic properties: the existence of only a finite number of ground states and with Peierls type condition. We define notion of a contour for the model on the Cayley tree. By a contour argument we show the existence of $s$ different (where $s$ is the number of ground states) Gibbs measures.

关键词

cayley tree statistical mechanics

引用

@article{arxiv.math-ph/0611038,
  title  = {A Contour Method on Cayley tree},
  author = {U. A. Rozikov},
  journal= {arXiv preprint arXiv:math-ph/0611038},
  year   = {2009}
}

备注

12 pages

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