DOMAIN SCALING AND GLASSY DYNAMICS IN A ONE-DIMENSIONAL KAWASAKI ISING-MODEL

S.J. Cornell, Kimmo Kaski, R.B. Stinchcombe

Research output: Contribution to journalArticleScientificpeer-review

65 Citations (Scopus)

Abstract

The one-dimensional spin-exchange kinetic Ising model is studied using approximations based on the motion of single spins. This model exhibits domain-scaling behavior after a deep quench to low temperatures, with the same scaling exponent (1/3) as in higher dimensions. Under slow cooling, the kink density of this system is predicted to freeze at a value proportional to τ−1/z, where τ is the inverse cooling rate and z is the dynamic critical exponent (=5) for ‘‘natural’’ cooling programs. The results of Monte Carlo simulations are found to compare favorably with these predictions. The residual temporal behavior in a frozen nonequilibrium state is studied in the short- and long-time regimes, approaching asymptotically a stretched-exponential form.
Original languageEnglish
Pages (from-to)12263-12274
Journal Physical Review B (Condensed Matter)
Volume44
Issue number22
DOIs
Publication statusPublished - 1991
MoE publication typeA1 Journal article-refereed

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