Phase transition of generalized ferromagnetic Potts model - Effect of invisible states

Shu Tanaka, Ryo Tamura, Naoki Kawashima

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11 Citations (Scopus)


We investigate the nature of the phase transition of the ferromagnetic Potts model with invisible states. The ferromagnetic Potts model with invisible states can be regarded as a straightforward extension of the standard ferromagnetic Potts model. The invisible states contribute the entropy, however they do not affect the internal energy. They also do not change the symmetry which breaks at the transition temperature. The invisible states stimulate a first-order phase transition. We confirm that the first-order phase transition with spontaneous q-fold symmetry breaking for q = 2,3, and 4 takes place even on two-dimensional lattice by Monte Carlo simulation. We also find that the transition temperature decreases and the latent heat increases as the number of invisible states increases.

Original languageEnglish
Article number012022
JournalJournal of Physics: Conference Series
Issue number1
Publication statusPublished - 2011
Externally publishedYes
Event7th International Conferences on Statistical Physics, STATPHYS-Kolkata VII - Kolkata, India
Duration: 2010 Nov 262010 Nov 30

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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