Partition function zeros of a restricted Potts model on lattice strips and effects of boundary conditions

Shu Chiuan Chang, Robert Shrock

研究成果: Article同行評審

2 引文 斯高帕斯(Scopus)

摘要

We calculate exactly the partition function Z(G, Q, v) of the Q-state Potts model with temperature-like Boltzmann variable v for strip graphs G of the square and triangular lattices of various widths Ly and arbitrarily great lengths Lx, with a variety of boundary conditions, and with Q and v restricted to satisfy conditions corresponding to the ferromagnetic phase transition on the associated two-dimensional lattices. From these calculations, in the limit Lx → ∞, we determine the continuous accumulation loci of the partition function zeros in the v and Q planes. Strips of the honeycomb lattice are also considered. We discuss some general features of these loci.

原文English
文章編號002
頁(從 - 到)10277-10295
頁數19
期刊Journal of Physics A: Mathematical and General
39
發行號33
DOIs
出版狀態Published - 2006 八月 18

All Science Journal Classification (ASJC) codes

  • 統計與非線性物理學
  • 數學物理學
  • 物理與天文學 (全部)

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