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Phys. Rev. E 63, 060101(R) (2001) [4 pages]

Thermal fluctuation for the time-dependent Ginzburg-Landau simulation

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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

Received 12 December 2000; published 18 May 2001

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.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.63.060101
DOI:
10.1103/PhysRevE.63.060101
PACS:
05.70.Ce, 64.10.+h, 05.70.Fh, 64.70.Kb
 
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