Generalized renormalization group treatment of the growth kinetics of unstable systems

Scott R. Anderson, Gene F. Mazenko, Oriol T. Valls

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

We discuss the generalization of a renormalization group technique developed previously for the study of ordering in unstable systems in the context of the ferromagnetic Ising model with spin-flip dynamics. Difficulties encountered in earlier work are eliminated through the use of new recursion relations dependent on a continuous spatial rescaling factor b ≥ 1. A more careful analysis and implementation of the approximation scheme is carried out. Our improved method allows the study of the anisotropy of the time-dependent structure factor and the pre-scaling behavior of the shape function.

Original languageEnglish (US)
Pages (from-to)17-36
Number of pages20
JournalJournal of Statistical Physics
Volume41
Issue number1-2
DOIs
StatePublished - Oct 1 1985

Keywords

  • Renormalization group
  • growth kinetics

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