The Becker-Döring equations at large times and their connection with the LSW theory of coarsening

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Abstract

A systematic procedure is given for obtaining the asymptotic late-time behavior of the Becker-Döring equations describing the time evolution of a population of clusters of particles. In lowest order of approximation, the distribution of the sizes of the largest clusters satisfies the equations of the Lifshitz-Slyozov-Wagner theory of coarsening.

Original languageEnglish
Pages (from-to)305-320
Number of pages16
JournalJournal of Statistical Physics
Volume89
Issue number1-2
Publication statusPublished - Oct 1997

Keywords

  • Asymptotics
  • Becker-Döring equations
  • Cluster kinetics
  • Kinetics of phase transitions
  • Lifshitz-Slyozov theory
  • Ostwald ripening

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