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Numerical study of the growth kinetics for a Langevin equation

Oriol T. Valls and Gene F. Mazenko
Phys. Rev. B 34, 7941 – Published 1 December 1986
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Abstract

We study the growth kinetics of a time-dependent Ginzburg-Landau model appropriate for the dynamics of a simple order-disorder transition by direct numerical solution of the associated Langevin equation. Our results are consistent with the Lifshitz-Cahn-Allen theory of curvature-driven dynamics. Our calculations indicate that such methods can be used to analyze more sophisticated models, and that they are at least competitive with Monte Carlo simulations.

  • Received 28 April 1986

DOI:https://doi.org/10.1103/PhysRevB.34.7941

©1986 American Physical Society

Authors & Affiliations

Oriol T. Valls

  • School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455

Gene F. Mazenko

  • The James Franck Institute and Department of Physics, The University of Chicago, Chicago, Illinois 60637

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Vol. 34, Iss. 11 — 1 December 1986

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