A mean-field equation of motion for the dynamic Ising model |
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| Authors: | O. Penrose |
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| Affiliation: | (1) Department of Mathematics, Heriot-Watt University, EH14 4AS Riccarton, Edinburgh, Scotland, UK |
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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. |
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| Keywords: | Dynamic Ising model mean-field theories kinetics of phase transitions approximate kinetic equations |
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