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Thermal fluctuation for the time-dependent Ginzburg-Landau simulation

Tetsu Ichitsubo and Katsushi Tanaka
Phys. Rev. E 63, 060101(R) – Published 18 May 2001
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Abstract

Thermal fluctuation for the time-dependent Ginzburg-Landau simulations is considered on the basis of the ensemble theory and the fluctuation-dissipation relation. The treatment for evaluating the thermal fluctuation for a nonconserved system is proposed and the formula for the fluctuation is presented. The magnitude of the fluctuation depends on the coarse-grained volume and the curvature of the free-energy function at thermal equilibrium. The validity of the formula is verified by numerical simulation.

  • Received 12 December 2000

DOI:https://doi.org/10.1103/PhysRevE.63.060101

©2001 American Physical Society

Authors & Affiliations

Tetsu Ichitsubo1 and Katsushi Tanaka2

  • 1Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka 560-8531, Japan
  • 2Department of Materials Science and Engineering, Kyoto University, Kyoto 606-8501, Japan

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Vol. 63, Iss. 6 — June 2001

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