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Diffuse-interface model for rapid phase transformations in nonequilibrium systems.

Peter Galenko1, David Jou

  • 1Institut für Raumsimulation, DLR, Köln, D-51170, Germany. Peter.Galenko@dlr.de

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
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This study introduces a thermodynamic model for rapid phase transformations in binary systems, considering finite heat and solute diffusion speeds at diffuse interfaces. The phase-field model accurately captures these transformations, ensuring thermodynamic consistency.

Area of Science:

  • Thermodynamics
  • Materials Science
  • Phase Transformations

Background:

  • Traditional models often assume sharp interfaces or simplified diffusion.
  • Understanding rapid phase transformations at diffuse interfaces is crucial for materials processing.

Purpose of the Study:

  • To develop a thermodynamic approach for rapid phase transformations in binary systems with diffuse interfaces.
  • To incorporate finite speeds of heat and solute diffusion into phase-field models.

Main Methods:

  • Developed a thermodynamic framework using an extended set of variables.
  • Utilized the phase-field model to describe transformations within the diffuse interface.
  • Derived governing equations for hyperbolic, memory, and nonlinear evolution models.

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Main Results:

  • Introduced a model accounting for finite diffusive propagation speeds at advancing interfaces.
  • Demonstrated model consistency through positive entropy production and fluctuation-dissipation theorem.
  • Compared the developed diffuse-interface model with sharp-interface approaches.

Conclusions:

  • The proposed thermodynamic phase-field model accurately describes rapid phase transformations in binary systems with diffuse interfaces.
  • The model provides a more realistic representation of interfacial phenomena by including finite diffusion speeds.