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Strongly anisotropic nonequilibrium phase transition in Ising models with friction
Sebastian Angst1, Alfred Hucht, Dietrich E Wolf
1Fakultät für Physik und CeNIDE, Universität Duisburg-Essen, D-47048 Duisburg, Germany.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 26, 2012
Summary
This study explores nonequilibrium phase transitions in driven Ising models. Both systems exhibit anisotropic transitions, confirming a universal behavior even with dissipation.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Non-equilibrium Systems
Background:
- Driven two-dimensional Ising models exhibit complex behaviors near critical points.
- Dissipation and fluctuation-induced friction are key phenomena in non-equilibrium systems.
- Understanding universality classes is crucial for classifying phase transitions.
Purpose of the Study:
- To investigate the nonequilibrium phase transition in driven 2D Ising models with varying geometries.
- To analyze the role of dissipation and friction near the critical point.
- To determine the universality class and anisotropy of the phase transition.
Main Methods:
- Monte Carlo simulations were employed to model the systems.
- Analytical calculations, including field theoretical approaches, were used for confirmation.
- Crossover scaling analysis was applied to study system size and driving velocity dependencies.
Main Results:
- Both investigated geometries belong to the same universality class.
- A strongly anisotropic nonequilibrium phase transition was observed, characterized by an anisotropy exponent θ=3.
- Simulation results were validated by theoretical models.
- A crossover from Ising to mean-field behavior was analyzed.
- The phase transition becomes strongly anisotropic in the thermodynamic limit for all finite velocities.
Conclusions:
- Driven 2D Ising models with different geometries share the same universality class for nonequilibrium phase transitions.
- Anisotropy is a significant feature of these transitions, particularly in the thermodynamic limit.
- The interplay between driving velocity, system size, and dissipation influences the transition dynamics.
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