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A driven Ising model with friction due to magnetic correlations has recentlybeen proposed by Kadau et al. (Phys. Rev. Lett. 101, 137205 (2008)). Thenon-equilibrium phase transition present in this system is investigated indetail using analytical methods as well as Monte Carlo simulations. In thelimit of high driving velocities $v$ the model shows mean field behavior due todimensional reduction and can be solved exactly for various geometries. Thesimulations are performed with three different single spin flip rates: thecommon Metropolis and Glauber rates as well as a multiplicative rate. Due tothe non-equilibrium nature of the model all rates lead to different criticaltemperatures at $v>0$, while the exact solution matches the multiplicativerate. Finally, the cross-over from Ising to mean field behavior as function ofvelocity and system size is analysed in one and two dimensions.

Non-equilibrium phase transition in an exactly solvable driven Ising model with friction