Complex-temperature phase diagrams for the q-state Potts model on self-dual families of graphs and the nature of the [formula presented] limit

Shu Chiuan Chang, Robert Shrock

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

Exact calculations of the Potts model partition function [formula presented] have been presented for arbitrary q and temperaturelike variable [formula presented] on self-dual strip graphs G of the square lattice with fixed width [formula presented] and arbitrarily great length [formula presented] with two types of boundary conditions. Letting [formula presented] the resultant free energy and complex-temperature phase diagram have been computed, including the locus B where the free energy is nonanalytic. Results are analyzed for widths [formula presented] These results have been used to study the approach to the large-q limit of [formula presented]

Original languageEnglish
Pages (from-to)16
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume64
Issue number6
DOIs
Publication statusPublished - 2001

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

Fingerprint Dive into the research topics of 'Complex-temperature phase diagrams for the q-state Potts model on self-dual families of graphs and the nature of the [formula presented] limit'. Together they form a unique fingerprint.

Cite this