Phase transition in potts model with invisible states

Ryo Tamura, Shu Tanaka, Naoki Kawashima

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)381-388
Number of pages8
JournalProgress of Theoretical Physics
Issue number2
Publication statusPublished - 2010 Aug
Externally publishedYes

Fingerprint

broken symmetry
entropy
internal energy
free energy
simulation
temperature
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Phase transition in potts model with invisible states. / Tamura, Ryo; Tanaka, Shu; Kawashima, Naoki.

In: Progress of Theoretical Physics, No. 2, 08.2010, p. 381-388.

Research output: Contribution to journalArticle

Tamura, Ryo ; Tanaka, Shu ; Kawashima, Naoki. / Phase transition in potts model with invisible states. In: Progress of Theoretical Physics. 2010 ; No. 2. pp. 381-388.
@article{08a96e675e9844df830f2b0bff6e665b,
title = "Phase transition in potts model with invisible states",
abstract = "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.",
author = "Ryo Tamura and Shu Tanaka and Naoki Kawashima",
year = "2010",
month = "8",
language = "English",
pages = "381--388",
journal = "Progress of Theoretical Physics",
issn = "0033-068X",
publisher = "Yukawa Institute for Theoretical Physics",
number = "2",

}

TY - JOUR

T1 - Phase transition in potts model with invisible states

AU - Tamura, Ryo

AU - Tanaka, Shu

AU - Kawashima, Naoki

PY - 2010/8

Y1 - 2010/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78649644157&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78649644157&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:78649644157

SP - 381

EP - 388

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 2

ER -