Dynamics of a two-dimensional order-disorder transition

Paramdeep S. Sahni, Gregory Dee, J. D. Gunton, M. Phani, Joel L. Lebowitz, M. Kalos

Research output: Contribution to journalArticlepeer-review

126 Scopus citations

Abstract

We present results of a Monte Carlo study of the time development of a two-dimensional order-disorder model binary alloy following a quench to low temperature from a disordered, high-temperature state. The behavior is qualitatively quite similar to that seen in a recent study of a three-dimensional system. The structure function exhibits a scaling of the form K2(t)S(k,T)=G(kK(t)) where the moment K(t) decreases with time approximately like t-12. If one interprets this moment as being inversely proportional to the domain size, the characteristic domain growth rate is proportional to t-12. Additional insight into this time evolution is obtained from studying the development of the short-range order, as well as from monitoring the growth of a compact ordered domain embedded in a region of opposite order. All these results are consistent with the picture of domain growth as proposed by Lifshitz and by Cahn and Allen.

Original languageEnglish (US)
Pages (from-to)410-418
Number of pages9
JournalPhysical Review B
Volume24
Issue number1
DOIs
StatePublished - 1981

ASJC Scopus subject areas

  • Condensed Matter Physics

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