Phase transition in potts model with invisible states

Ryo Tamura*, Shu Tanaka, Naoki Kawashima

*この研究の対応する著者

研究成果: Article査読

19 被引用数 (Scopus)

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
ページ(範囲)381-388
ページ数8
ジャーナルProgress of Theoretical Physics
2
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)

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