Galenko, Peter (2010) Diffuse-interface model for fast phase transitions. The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 25.-28. Mai 2010, Dresden.
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A thermodynamic approach to fast phase transitions within a diffuse interface in a binary system is presented. Assuming an extended set of independent thermodynamic variables formed by the union of the classic set of slow variables and the space of fast variables, we introduce finiteness of the heat and solute diffusive propagation at the finite speed of the interface advancing. To describe the transition within the diffuse interface, we use the phase-field model which allows us to follow the steep but smooth change of phases within the width of diffuse interface. The governing equations of the phase-field model are derived for the hyperbolic model, model with memory, and for a model of nonlinear evolution of transition within the diffuse-interface. The consistency of the model is proved by the condition of positive entropy production and by the outcomes of the fluctuation-dissipation theorem. A comparison with the existing sharp-interface and diffuse-interface versions of the model is given together with examples.
|Document Type:||Conference or Workshop Item (Speech)|
|Additional Information:||Eingeladener Vortrag Symposium: Interface Problems The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, TU Dresden 2010|
|Title:||Diffuse-interface model for fast phase transitions|
|Date:||24 May 2010|
|Keywords:||Diffuse interface theory|
|Event Title:||The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications|
|Event Type:||international Conference|
|Event Dates:||25.-28. Mai 2010|
|Organizer:||Technische Universität Dresden|
|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)|
|Institutes and Institutions:||Institute of Materials Physics in Space|
|Deposited By:||Dieter Herlach|
|Deposited On:||18 Jun 2010 08:24|
|Last Modified:||18 Jun 2010 08:24|
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