Linear-parabolic shift of initially sharp interface in AB diffusion couple above the ordering temperature

G. L. Katona, Z. Erdélyi, D. L. Beke

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

It is shown that initially sharp interface in AB diffusion couple, above the ordering temperature, can shift with anomalous kinetics, i.e. deviations from the parabolic growth kinetics are possible. The initial slopes of the shift versus time functions can be even unity for large diffusion asymmetry (the ratio of diffusion coefficients of the parent materials in orders of magnitude) and gradually decrease to 0.5 at larger distances (longer times). This is in accordance with earlier results obtained in phase separating systems. It is shown that from the results of simulations the crossover thickness, X, between the linear and parabolic regimes can also be calculated, and the applicability of the linear-parabolic law is confirmed. Furthermore, it is illustrated that the crossover thickness depends exponentially on the diffusion asymmetry parameter, with the exponent close to the value obtained from analytical estimations.

Original languageEnglish
Pages (from-to)478-486
Number of pages9
JournalPhilosophical Magazine Letters
Volume92
Issue number9
DOIs
Publication statusPublished - Sep 1 2012

Keywords

  • anomalous diffusion
  • interdiffusion
  • interface transfer coefficient
  • nanoscale
  • non-linear diffusion
  • ordering systems
  • shift of interface

ASJC Scopus subject areas

  • Condensed Matter Physics

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