Monte Carlo Renormalization-Group Study of the Dynamics of an Unstable State

J. Viñals, Martin Grant, M. San Miguel, J. D. Gunton, and E. T. Gawlinski
Phys. Rev. Lett. 54, 1264 – Published 25 March 1985
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Abstract

The kinetics of an order-disorder transition is studied by Monte Carlo renormalization-group methods. The block-spin transformation acts to renormalize both the growing domains and the moving interfaces separating them. After several iterations, the growth is found to be self-similar under a simultaneous rescaling of space and time. The growth law for the average size of domains is then determined by a matching condition. Good agreement with the results of previous studies is obtained.

  • Received 24 September 1984

DOI:https://doi.org/10.1103/PhysRevLett.54.1264

©1985 American Physical Society

Authors & Affiliations

J. Viñals, Martin Grant, M. San Miguel*, J. D. Gunton, and E. T. Gawlinski

  • Physics Department, Temple University, Philadelphia, Pennsylvania 19122

  • *Permanent address: Departament de Fisica Teòrica, Universitat de Barcelona, Diagonal 647, Barcelona 28, Spain.

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Issue

Vol. 54, Iss. 12 — 25 March 1985

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