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Nonequilibrium phase transition in an exactly solvable driven Ising model with friction
1Fakultät für Physik und CeNIDE, Universität Duisburg-Essen, D-47048 Duisburg, Germany.
Summary
This study investigates a driven Ising model with friction, revealing distinct critical temperatures based on spin-flip rates in nonequilibrium conditions. The exact solution aligns with a multiplicative rate, showing a crossover to mean-field behavior at high velocities.
Area of Science:
- Condensed Matter Physics
- Statistical Mechanics
- Non-equilibrium Systems
Background:
- Introduces a driven Ising model with friction from magnetic correlations.
- Highlights the presence of a nonequilibrium phase transition within this system.
Purpose of the Study:
- To investigate the nonequilibrium phase transition in detail.
- To analyze the model's behavior at high driving velocities and its crossover dynamics.
Main Methods:
- Employs analytical methods and Monte Carlo simulations.
- Utilizes Metropolis, Glauber, and a multiplicative single spin-flip rates.
- Examines the system in one and two dimensions.
Main Results:
- Identifies mean-field behavior at high driving velocities due to dimensional reduction, allowing exact solutions.
- Demonstrates that different spin-flip rates yield distinct critical temperatures at v>0.
- Confirms the exact solution matches the multiplicative rate.
Conclusions:
- The driven Ising model exhibits complex behavior influenced by driving velocity and spin-flip dynamics.
- A crossover from Ising to mean-field behavior is observed as a function of velocity and system size.
- The multiplicative rate provides an accurate description of the system's exact solution in the high-velocity limit.
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