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The non-equilibrium phase transition in driven two-dimensional Ising modelswith two different geometries is investigated using Monte Carlo methods as wellas analytical calculations. The models show dissipation through fluctuationinduced friction near the critical point. We first consider high drivingvelocities and demonstrate that both systems are in the same universality classand undergo a strongly anisotropic non-equilibrium phase transition, withanisotropy exponent \theta=3. Within a field theoretical ansatz the simulationresults are confirmed. The crossover from Ising to mean field behavior independency of system size and driving velocity is analyzed using crossoverscaling. It turns out that for all finite velocities the phase transitionbecomes strongly anisotropic in the thermodynamic limit.

Strongly anisotropic non-equilibrium phase transition in Ising models with friction