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Kinetic rate laws as derived from order parameter theory V: Computer simulations of ordering processes using a soft ising model
Authors:S Marais  E Salje  V Heine
Institution:1. Cavendish Laboratory, Madingley Road, CB3 0HE, Cambridge, UK
2. Department of Earth Sciences, Dowing Street, CB2 3EQ, Cambridge, UK
Abstract:The kinetic and equilibrium behaviour of order/disorder systems and related processes are simulated using an Ising spin model in which the coupling between spins occurs via local strain in a harmonic lattice. The equilibrium states are found to be well described by a mean field Landau-type Gibbs free energy. The ordering kinetics laws follow the rate law:

$$\frac{{dQ}}{{dt}} = \frac{{ - 1}}{\tau }\frac{{\partial G}}{{\partial Q}}$$
Keywords:
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