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

Abstract

We study a three-state Potts model extended by allowing cyclic dominance between the states as it appears for the rock-scissors-paper game. Monte Carlo simulations are performed on a square lattice when 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 that yields a self-organizing pattern even at low temperatures. The differences and similarities are discussed between the present model and the half-filled, driven lattice gases with repulsive interaction.

4 pages, 4 figures

References in corpus (7)

• Theory of Phase Ordering Kinetics
• Nonequilibrium Critical Phenomena and Phase Transitions into Absorbing States
• Evolutionary prisoner's dilemma game on a square lattice
• Spatial organization in cyclic Lotka-Volterra systems
• A three-state cyclic voter model extended with Potts energy
• Vortex dynamics in a three-state model under cyclic dominance
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