Three-state Potts model in combination with the rock-scissors-paper game

A. Szolnoki, G. Szabó, Mária Ravasz

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

We study a three-state Potts model extended by allowing cyclic dominance between the states as exemplified in the rock-scissors-paper game. Monte Carlo simulations are performed on a square lattice while varying the temperature and the strength of cyclic dominance. It is shown that the critical phase transition from the disordered state to the ordered one is destroyed by the cyclic dominance, which yields a self-organizing pattern even at low temperatures. The differences and similarities are discussed between the present model and half-filled, driven lattice gases with repulsive interaction.

Original languageEnglish
Article number027102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number2
DOIs
Publication statusPublished - Feb 2005

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games
Potts Model
rocks
Game
Lattice Gas
organizing
Self-organizing
Square Lattice
Phase Transition
Monte Carlo Simulation
Interaction
gases
simulation
interactions
temperature
Model

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Three-state Potts model in combination with the rock-scissors-paper game. / Szolnoki, A.; Szabó, G.; Ravasz, Mária.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 71, No. 2, 027102, 02.2005.

Research output: Contribution to journalArticle

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