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.
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Penrose, O. A mean-field equation of motion for the dynamic Ising model. J Stat Phys 63, 975–986 (1991). https://doi.org/10.1007/BF01029993
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DOI: https://doi.org/10.1007/BF01029993