Some exact results on the Potts model partition function in a magnetic field

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

9 引文 斯高帕斯(Scopus)

摘要

We consider the Potts model in a magnetic field on an arbitrary graph G. Using a formula by F Y Wu for the partition function Z of this model as a sum over spanning subgraphs of G, we prove some properties of Z concerning factorization, monotonicity and zeros. A generalization of the Tutte polynomial is presented that corresponds to this partition function. In this context, we formulate and discuss two weighted graph-coloring problems. We also give a general structural result for Z for cyclic strip graphs.

原文English
文章編號385004
期刊Journal of Physics A: Mathematical and Theoretical
42
發行號38
DOIs
出版狀態Published - 2009

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 統計與概率
  • 建模與模擬
  • 數學物理學
  • 一般物理與天文學

指紋

深入研究「Some exact results on the Potts model partition function in a magnetic field」主題。共同形成了獨特的指紋。

引用此