期刊
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
卷 389, 期 17, 页码 3443-3455出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2010.05.002
关键词
Spinodal decomposition; Structure factor; Stochastic system
资金
- DFG (German Research Foundation) [HE 1601/19]
- DLR Agency [50WM0736]
- FRSF (Fundamental Researches State Fund of Ukraine) [0109U005906]
A model for diffusion and phase separation which takes into account exponential relaxation of the solute diffusion flux and its fluctuations is developed. The model describes a system undergoing phase separation governed by a partial differential equation of hyperbolic type. The analysis is clone for the evolution of patterns in spinodal decomposition for the system supercooled below critical temperature. Analytical results show that relaxation processes of the solute diffusion flux lead to the selection of patterns with different wavenumbers. Considering spatial-temporal correlations of the flux fluctuations, we have found that the temporal correlations promote selecting large-period patterns, whereas the corresponding spatial correlations accelerate such processes. (C) 2010 Published by Elsevier B.V.
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