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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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|
|Journal or Publication Title:||Stochastic Differential Equations|
|Page Range:||pp. 97-127|
|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|
|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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