Numerical Study of Elastic Effects by Cubic-Tetragonal Symmetry Breaking on the Ordering Kinetics

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5 Citations (Scopus)

Abstract

Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.

Original languageEnglish
Pages (from-to)2628-2637
Number of pages10
JournalJournal of the Physical Society of Japan
Volume66
Issue number9
Publication statusPublished - 1997 Sep
Externally publishedYes

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broken symmetry
kinetics
rods
free energy
exponents
disorders

Keywords

  • Coarsening process
  • Cubic-tetragonal symmetry breaking
  • Elastic effect
  • Morphologies
  • Pattern formation
  • Simulation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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title = "Numerical Study of Elastic Effects by Cubic-Tetragonal Symmetry Breaking on the Ordering Kinetics",
abstract = "Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.",
keywords = "Coarsening process, Cubic-tetragonal symmetry breaking, Elastic effect, Morphologies, Pattern formation, Simulation",
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T1 - Numerical Study of Elastic Effects by Cubic-Tetragonal Symmetry Breaking on the Ordering Kinetics

AU - Yamazaki, Yoshihiro

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N2 - Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.

AB - Elastic effects by cubic-tetragonal symmetry breaking on the ordering kinetics are investigated. We propose a coarse-grained model characterized by a Ginzburg-Landau free energy with non-conserved order parameters coupled to an elastic field. By numerical study we obtain an oval shaped domain and a square domain in two dimensions and a plate-like domain and a rod-like domain in three dimensions. And in the coarsening process, a striped pattern is obtained. These patterns are remarkably similar to morphologies observed in real cubic-tetragonal order-disorder alloys. Moreover, we study the dynamics during the coarsening process by analyzing the change of the total domain boundaries LDB(t). LDB(t) decreases as a power of time: t-α(α > 0). The exponent a becomes small with increasing the magnitude of the elastic effects.

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