Phase transition in random walks coupled with evolutionary game
College of Physics and Electronic Engineering, Guangxi Teacher Education University - Nanning 530001, China
2 School of Engineering Science, University of Science and Technology of China - Hefei 230026, China
3 Department of Modern Physics, University of Science and Technology of China - Hefei 230026, China
Accepted: 27 September 2010
We investigate a non-equilibrium process of random walk coupled with evolutionary game on one-dimensional periodic lattices. A first-order phase transition is observed, i.e., the cooperator ratio suddenly decreases at a critical density ρcr. The defector ratio remains constant when the density ρ>ρcr, but it decays exponentially when ρ<ρcr. The behavior is compared with that studied by Barato and Hinrichsen (Phys. Rev. Lett., 100 (2008) 165701). The evolution of cooperator ratio and the system flux have also been studied via Monte Carlo simulation and mean-field analysis.
PACS: 89.20.-a – Interdisciplinary applications of physics / 07.05.Tp – Computer modeling and simulation / 05.70.Jk – Critical point phenomena
© EPLA, 2010