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On the microscopic approach of the mean field kinetic Ising model

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  • Boeglin, Alex
  • Xing-Guo, Zhang
  • Lin, S.H.

Abstract

The master equation for the mean field Ising model is derived from the Liouville formalism and cast into the same form as one usually writes the phenomenological master equation. Thus all constants including the time scale entering the phenomenological approach are well defined. The connection with the time dependent Landau-Ginzburg equation and the evaluation of the rate constants are emphasized. The possible growth of an initial inhomogeneity is discussed by examining a first order perturbation solution.

Suggested Citation

  • Boeglin, Alex & Xing-Guo, Zhang & Lin, S.H., 1986. "On the microscopic approach of the mean field kinetic Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 439-453.
    • Handle: RePEc:eee:phsmap:v:137:y:1986:i:1:p:439-453
    DOI: 10.1016/0378-4371(86)90088-9
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    References listed on IDEAS

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    1. Dickman, R. & Schieve, W.C., 1982. "The asymptotic form of the cluster partition function in a two-dimensional lattice gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 51-64.
    2. Binder, Arnold & Green, Robert P. & Newkirk, Martha, 1973. "University-police cooperative approach to juvenile diversion: Evaluating its applicability and effectiveness," Journal of Criminal Justice, Elsevier, vol. 1(3), pages 255-258.
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