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Stochastic generalization for a hyperbolic model of spinodal decomposition

Galenko, Peter and Kharchenko, Dmitrii and Lysenko, Irina (2010) Stochastic generalization for a hyperbolic model of spinodal decomposition. Physica A: Statistical Mechanics and its Applications, 389, pp. 3443-3455. ISSN 0378-4371.

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Abstract

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 done 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.

Document Type:Article
Title:Stochastic generalization for a hyperbolic model of spinodal decomposition
Authors:
AuthorsInstitution or Email of Authors
Galenko, Peterpeter.galenko@dlr.de
Kharchenko, DmitriiNational Academyof Sciences of Ukraine
Lysenko, IrinaNational Academyof Sciences of Ukraine
Date:2010
Journal or Publication Title:Physica A: Statistical Mechanics and its Applications
Refereed publication:Yes
In SCOPUS:Yes
In ISI Web of Science:Yes
Volume:389
Page Range:pp. 3443-3455
ISSN:0378-4371
Status:Published
Keywords:spinodal decompostion
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Space (old)
HGF - Program Themes:W FR - Forschung unter Weltraumbedingungen (old)
DLR - Research area:Space
DLR - Program:W FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):W - Vorhaben Materialwissenschaftliche Forschung (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Dieter Herlach
Deposited On:14 Jul 2010 10:51
Last Modified:07 Feb 2013 19:45

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