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

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number385004
JournalJournal of Physics A: Mathematical and Theoretical
Volume42
Issue number38
DOIs
Publication statusPublished - 2009

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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