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

TL;DR

This paper investigates non-equilibrium phase transitions in driven 2D Ising models, revealing strongly anisotropic behavior and universality class characteristics through simulations and analytical methods.

Contribution

It demonstrates that driven 2D Ising models exhibit a strongly anisotropic non-equilibrium phase transition with a specific anisotropy exponent, confirmed by simulations and field theory.

Findings

Models are in the same universality class at high velocities

Phase transition is strongly anisotropic with anisotropy exponent 

Crossover from Ising to mean field behavior depends on system size and velocity

Abstract

The non-equilibrium phase transition in driven two-dimensional Ising models with two different geometries is investigated using Monte Carlo methods as well as analytical calculations. The models show dissipation through fluctuation induced friction near the critical point. We first consider high driving velocities and demonstrate that both systems are in the same universality class and undergo a strongly anisotropic non-equilibrium phase transition, with anisotropy exponent \theta=3. Within a field theoretical ansatz the simulation results are confirmed. The crossover from Ising to mean field behavior in dependency of system size and driving velocity is analyzed using crossover scaling. It turns out that for all finite velocities the phase transition becomes strongly anisotropic in the thermodynamic limit.