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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.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 9, 2002
PubMed
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

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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.

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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.