10. Ginzburg–Landau-Type Phase Field Kinetic Models

  1. Dr. Dierk Raabe1,2

Published Online: 24 MAR 2004

DOI: 10.1002/3527601945.ch10

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

Computational Materials Science: The Simulation of Materials, Microstructures and Properties

How to Cite

Raabe, D. (1998) Ginzburg–Landau-Type Phase Field Kinetic Models, in Computational Materials Science: The Simulation of Materials, Microstructures and Properties, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, FRG. doi: 10.1002/3527601945.ch10

Author Information

  1. 1

    Department for Materials Science & Engineering, Carnegie Mellon University, Room 3317, Wean Hall, Pittsburgh, PA 15213-3890, USA

  2. 2

    Institut für Metallkunde und Metallphysik, RWTH Aachen, Kopernikusstraße 14, 52056 Aachen, Germany

Publication History

  1. Published Online: 24 MAR 2004
  2. Published Print: 1 JUN 1998

ISBN Information

Print ISBN: 9783527295418

Online ISBN: 9783527601943

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Keywords:

  • Ginzburg–Landau-type;
  • phase field kinetic models;
  • phase transformation;
  • diffusion;
  • Ostwald Ripening equation;
  • Gibbs–Thomson equation;
  • Lifshitz–Slyozov–Wagner theory;
  • Cahn–Hilliard model;
  • Allen–Cahn model;
  • Landau energy density functional;
  • elastic stresses;
  • materials science;
  • simulation;
  • spinodal decomposition;
  • grain growth

Summary

This chapter contains sections titled:

  • Introduction

  • Diffusional Phase Transformation

    • The Phenomenological Laws of Diffusion

    • Ostwald Ripening and Gibbs–Thomson Equation

    • Lifshitz–Slyozov–Wagner Theory

  • Continuum Phase Field Kinetic Models

    • Cahn–Hilliard and Allen–Cahn Model

    • Thermal Fluctuation

    • Landau Energy Density Functional

    • Solution of the Linearized CHGL theory

  • Microscopic Phase Field Kinetic Model

  • Consideration of Elastic Stresses

  • Application of Phase Field Kinetic Models in Materials Science

  • Examples of Phase Field Simulations in Materials Science

    • Simulation of Spinodal Decomposition

    • Simulation of Grain Growth