Modelling diffusion controlled solid state kinetics in equilibrium and driven alloys

G. Martin, P. Bellon, F. Soisson

Research output: Contribution to journalArticle

Abstract

We propose a simple model for thermally activated atomic migration on a lattice and several techniques to handle it. For thermodynamical systems close to equilibrium, the simplest mean field approximation of the model yields the classical treatment of irreversible thermodynamics and gives a microscopic interpretation of the related phenomenological coefficients (mobilities, interfacial transfer coefficients, coupled relaxation of order and concentration fields⋯). The possible applications of the model to complex alloys of practical interest is indicated. Further away from equilibrium, the non-linearities can be taken into account in a systematic manner. For driven alloys, forced atomic migration is added to the model and new features result. Typical behaviours predicted from such models (mainly obtained from computer simulations) are presented.

Original languageEnglish (US)
Pages (from-to)385-402
Number of pages18
JournalDefect and Diffusion Forum
Volume143-147
DOIs
StatePublished - 1997

Keywords

  • Activation Barrier
  • Coarsening
  • Coherent Precipitation
  • Master Equation
  • Mean Field Kinetics
  • Monte Carlo Simulation
  • Order-Disorder Transition
  • Phase Transformations under Ball Milling
  • Phase Transformations under Irradiation
  • Residence Time

ASJC Scopus subject areas

  • Metals and Alloys

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