Impurity effects on domain-growth kinetics. I. Ising model

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)3014-3020
Journal / PublicationPhysical Review B
Volume32
Issue number5
Publication statusPublished - 1 Sep 1985
Externally publishedYes

Abstract

The development of order for the Ising model in the presence of static, random impurities is studied following a quench from high temperature ( Tc) to < Tc. We find that for quenches to = 0, the system becomes pinned for long times for any value of c > 0 and never reaches its final equilibrium ferromagnetic ground state. The average linear pinned domain size scales as the inverse square root of the concentration c. For quenches to a final T > 0, the long-time behavior of the correlation length R and the energy E are slower than a power law, suggesting a logarithmic growth law for long times. The time that is required to reach this asymptotic logarithmic behavior increases as the impurity concentration decreases and/or the temperature increases.