## Abstract

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 L_{y} and arbitrarily great lengths L_{x}, 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 L_{x} → ∞, 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.

Original language | English |
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Article number | 002 |

Pages (from-to) | 10277-10295 |

Number of pages | 19 |

Journal | Journal of Physics A: Mathematical and General |

Volume | 39 |

Issue number | 33 |

DOIs | |

Publication status | Published - 2006 Aug 18 |

## All Science Journal Classification (ASJC) codes

- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)