Nonequilibrium phase transition in an exactly solvable driven Ising model with friction.
A driven Ising model with friction due to magnetic correlations was proposed by Kadau [Phys. Rev. Lett. 101, 137205 (2008)]. The nonequilibrium phase transition present in this system is investigated in detail using analytical methods as well as Monte Carlo simulations. In the limit of high driving velocities v the model shows mean-field behavior due to dimensional reduction and can be solved exactly for various geometries. The simulations are performed with three different single spin-flip rates: the common Metropolis and Glauber rates as well as a multiplicative rate. Due to the nonequilibrium nature of the model all rates lead to different critical temperatures at v>0, while the exact solution matches the multiplicative rate. Finally, the crossover from Ising to mean-field behavior as function of velocity and system size is analyzed in one and two dimensions.
Hucht
Alfred
A
Fakultät für Physik und CeNIDE, Universität Duisburg-Essen, D-47048 Duisburg, Germany.
D003198:Computer Simulation; D004574:Electromagnetic Fields; D017276:Friction; D008956:Models, Chemical; D015233:Models, Statistical; D009010:Monte Carlo Method; D044367:Phase Transition / Q000528:radiation effects; D012212:Rheology / Q000379:methods*; D012996:Solutions / Q000737:chemistry* / Q000528:radiation effects*
D012996:Solutions