DERIVATION OF CAHN-HILLIARD EQUATIONS FROM GINZBURG-LANDAU MODELS

Authors
BERTINI L LANDIM C OLLA S
Citation
L. Bertini et al., DERIVATION OF CAHN-HILLIARD EQUATIONS FROM GINZBURG-LANDAU MODELS, Journal of statistical physics, 88(1-2), 1997, pp. 365-381
Citations number
14
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
88
Issue
1-2
Year of publication
1997
Pages
365 - 381
Database
ISI
SICI code
0022-4715(1997)88:1-2<365:DOCEFG>2.0.ZU;2-8
Abstract
The generalized Cahn-Hilliard equation is obtained as the hydrodynamic limit from a stochastic Ginzburg-Landau model. The associated large-d eviation principle is also proved. In the one-dimensional case, we pro ve a related result about the scaling limit of conservative Langevin d ynamics of an SOS surface.