Kinetics of crystalline configurations

C.M. van Baal

Physica A: Statistical Mechanics and its Applications, 1982, vol. 111, issue 3, 591-606

Abstract: A simple and exact way of coarse graining the master equation for a Markov process in configuration space is shown to exist. The coarse grained master equation is applied to the Ising model of a homogeneous binary interstitial alloy and to a “magnetic” Ising model. Using an approximation analogous to the quasi-chemical approximation, for both models the macroscopic rate equations for the establishment of short range order and the Fokker-Planck equation governing the fluctuations are derived.

Date: 1982
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:111:y:1982:i:3:p:591-606

DOI: 10.1016/0378-4371(82)90054-1

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