Critical estimation of relaxation coefficient in TDGL equation based on path probability method

Munekazu Ohno, Tetsuo Mohri

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

A hybrid scheme of Cluster Variation Method (CVM) combined with Phase Field Method (PFM) is applied to multiscale analysis of disorder-B2 transition. By comparing the relaxation curves of Long-Range-Order (LRO) parameter obtained by the present hybrid model and by Path Probability Method (PPM), a critical estimation of the relaxation constant which determines the time scale of the temporal evolution process of microstructure is attempted for B2 ordering process. It is found that both the LRO relaxation curves are well described within the autocatalytic reaction model of chemical species. That both curves coincide satisfactorily assures the existence of a scaling property between PFM and PPM. Finally, microstructural evolution process is simulated within Time Dependent Ginzburg Landau equation.

Original languageEnglish
Pages (from-to)2718-2724
Number of pages7
JournalMaterials Transactions
Volume47
Issue number11
DOIs
Publication statusPublished - 2006 Nov

Keywords

  • Autocatalytic reaction
  • Cluster variation method
  • Disorder-B2 transition
  • Path probability method
  • Time dependent ginzburg landau equation

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

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