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Nonequilibrium antiferromagnetic mixed-spin Ising model.
Mauricio Godoy1, Wagner Figueiredo
1Departamento de Física-Universidade Federal de Santa Catarina, 88040-900 Florianópolis, SC, Brazil.
Summary
This study investigates a mixed-spin Ising model with competing stochastic processes, revealing three distinct phases and critical exponents. The nonequilibrium model aligns with the 2D equilibrium Ising model
Area of Science:
- Statistical physics
- Condensed matter physics
Background:
- Antiferromagnetic mixed-spin Ising model on a square lattice.
- System involves two interpenetrating sublattices with spins σ=1/2 and S=1.
- Nearest-neighbor interactions are considered.
Purpose of the Study:
- To investigate the phase diagram and critical behavior of a nonequilibrium mixed-spin Ising model.
- To understand the influence of competing stochastic processes on system dynamics.
- To determine if the model belongs to a known universality class.
Main Methods:
- Monte Carlo simulations.
- Dynamical pair approximation.
- Analysis of stationary states and critical exponents.
Main Results:
- Identification of three distinct phases in the model.
- Phase transitions occur along continuous lines.
- Static critical exponents were determined.
- The nonequilibrium model shares the universality class of the 2D equilibrium Ising model.
Conclusions:
- The studied nonequilibrium model exhibits complex phase behavior.
- Continuous phase transitions are observed.
- The model's universality class is consistent with the 2D equilibrium Ising model, suggesting shared fundamental properties despite nonequilibrium dynamics.