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Fluctuation effects on pattern selection in the hyperbolic model of phase decomposition

Kharchenko, D. and Lysenko, I. and Galenko, Peter (2011) Fluctuation effects on pattern selection in the hyperbolic model of phase decomposition. In: Stochastic Differential Equations Nova Science. pp. 97-127.

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Abstract

Phase separation processes in the hyperbolic model of spinodal decomposition are considered. The model is addressed to description of earlier and later stages of phase separation in binary systems deeply undercooled into spinodal region of phase diagram. In addition to deterministic local equilibrium contribution and deterministic pure nonequilibrium contribution into spinodal decomposition, we have introduced the noise induced fluctuations which are defined as multiplicative fluctuations. With introducing fluctuations of the diffusion flux the hyperbolic model has been analyzed for earlier and later stages of spinodal decomposition. The effective Fokker-Planck equation for the hyperbolic model describing phase separation with fluctuations is derived. Using the exact stationary distribution functional for the concentration field the pattern selection processes at late stages of spinodal decomposition are analyzed.

Document Type:Contribution to a Collection
Title:Fluctuation effects on pattern selection in the hyperbolic model of phase decomposition
Authors:
AuthorsInstitution or Email of Authors
Kharchenko, D.Institute of Applied Physics, Sumy, Ukraine
Lysenko, I.Institute of Applied Physics, Sumy, Ukraine
Galenko, Peterpeter.galenko@dlr.de
Date:2011
Journal or Publication Title:Stochastic Differential Equations
Refereed publication:Yes
Page Range:pp. 97-127
Editors:
EditorsEmail
Halidas, N.New York
Publisher:Nova Science
Status:Published
Keywords:Undercooling of Materials
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Research under Space Conditions
DLR - Research area:Raumfahrt
DLR - Program:R FR - Forschung unter Weltraumbedingungen
DLR - Research theme (Project):R - Vorhaben Materialwissenschaftliche Forschung
Location: Köln-Porz
Institutes and Institutions:Institute of Materials Physics in Space
Deposited By: Dieter Herlach
Deposited On:28 Jul 2011 14:55
Last Modified:07 Feb 2013 19:35

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