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Crossover from Ising to mean-field critical behavior in a kinetic Ising model with competing flip and exchange dynamics

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  • Droz, M.
  • Rácz, Z.
  • Tartaglia, P.

Abstract

A two-dimensional kinetic Ising model evolving by a combination of spin flips at temperature T and spin exchanges which are random and of arbitrary range is investigated. We present a mean-field theory and compare its predictions with Monte Carlo simulations. The results indicate that the equilibrium Ising transition that is present without the spin exchanges turns into a mean-field transition as soon as the spin-exchange rate is different from zero. The crossover from Ising to mean-field critical behavior is characterized by an exponent, Φ ≈ 2, equal to the analogous crossover exponent in equilibrium systems.

Suggested Citation

  • Droz, M. & Rácz, Z. & Tartaglia, P., 1991. "Crossover from Ising to mean-field critical behavior in a kinetic Ising model with competing flip and exchange dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 401-406.
    • Handle: RePEc:eee:phsmap:v:177:y:1991:i:1:p:401-406
    DOI: 10.1016/0378-4371(91)90179-G
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    1. Dodge, R.R. & Lebowitz, M.D. & Barbee, R. & Burrows, B., 1985. "Estimates of C. immitis infection by skin test reactivity in an endemic community," American Journal of Public Health, American Public Health Association, vol. 75(8), pages 863-865.
    2. Bordi, F. & Cametti, C. & Codastefano, P. & Tartaglia, P., 1990. "Electrical conductivity of colloidal systems during irreversible aggregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 663-672.
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