## 抄録

We study phase transition in the ferromagnetic Potts model with invisible states that are added as redundant states by mean-field calculation and Monte Carlo simulation. Invisible states affect the entropy and free energy, although they do not contribute to the internal energy. A second-order phase transition takes place at finite temperature in the standard q-state ferromagnetic Potts model on two-dimensional lattice for q = 2,3, and 4. However, our present model on two-dimensional lattice undergoes a first-order phase transition with spontaneous q-fold symmetry breaking (q = 2,3, and 4) due to entropy effect of invisible states. The model is fundamental for the analysis of a first-order phase transition with spontaneous discrete symmetry breaking.

本文言語 | English |
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ページ（範囲） | 381-388 |

ページ数 | 8 |

ジャーナル | Progress of Theoretical Physics |

号 | 2 |

DOI | |

出版ステータス | Published - 2010 8 |

外部発表 | はい |

## ASJC Scopus subject areas

- 物理学および天文学（その他）