A mean-field equation of motion for the dynamic Ising model

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Abstract

A mean-field type of approximation is used to derive two differential equations, one approximately representing the average behavior of the Ising model with Glauber (spin-flip) stochastic dynamics, and the other doing the same for Kawasaki (spin-exchange) dynamics. The proposed new equations are compared with the Cahn-Allen and Cahn-Hilliard equations representing the same systems and with information about the exact behavior of the microscopic models. © 1991 Plenum Publishing Corporation.

Original languageEnglish
Pages (from-to)975-986
Number of pages12
JournalJournal of Statistical Physics
Volume63
Issue number5-6
DOIs
Publication statusPublished - Jun 1991

Keywords

  • approximate kinetic equations
  • Dynamic Ising model
  • kinetics of phase transitions
  • mean-field theories

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