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Nonequilibrium phase transition in an Ising model without detailed balance
Manoj Kumar1,2, Chandan Dasgupta2,3
1Centre for Fluid and Complex Systems, Coventry University, Coventry CV1 5FB, United Kingdom.
Physical Review. E
|December 17, 2020
Summary
This study explores a two-dimensional Ising model with modified spin update rules, revealing a nonequilibrium phase transition. Despite not obeying detailed balance, critical exponents match the equilibrium Ising model.
Area of Science:
- Statistical Mechanics
- Condensed Matter Physics
Background:
- The study investigates a two-dimensional ferromagnetic Ising model.
- Modified Metropolis and Glauber algorithms are employed for spin updates, violating detailed balance conditions.
Purpose of the Study:
- To analyze the steady-state behavior and phase transitions of the modified Ising model.
- To explicitly demonstrate the nonequilibrium nature of the observed phase transition.
Main Methods:
- Utilizing molecular field theory and Monte Carlo simulations.
- Employing finite size scaling analysis for critical exponents.
Main Results:
- A nonequilibrium phase transition from a paramagnetic to a ferromagnetic state is observed.
- The transition's nonequilibrium nature is confirmed, distinct from equilibrium transitions.
- Calculated critical exponents are consistent with the equilibrium two-dimensional Ising model.
Conclusions:
- The modified Ising model exhibits a genuine nonequilibrium phase transition.
- The critical behavior shares universality with the equilibrium Ising model despite the altered dynamics.
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