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 language | English |
|---|---|
| Pages (from-to) | 975-986 |
| Number of pages | 12 |
| Journal | Journal of Statistical Physics |
| Volume | 63 |
| Issue number | 5-6 |
| DOIs | |
| Publication status | Published - Jun 1991 |
Keywords
- approximate kinetic equations
- Dynamic Ising model
- kinetics of phase transitions
- mean-field theories