Scientific article
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English

Domain scaling and glassy dynamics in a one-dimensional Kawasaki Ising model

Published inPhysical review. B, Condensed matter and materials physics, vol. 44, no. 22, p. 12263-12274
Publication date1991
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.

Citation (ISO format)
CORNELL, Stephen John, KASKI, Kimmo Kauko K., STINCHCOMBE, Robin B. Domain scaling and glassy dynamics in a one-dimensional Kawasaki Ising model. In: Physical review. B, Condensed matter and materials physics, 1991, vol. 44, n° 22, p. 12263–12274. doi: 10.1103/PhysRevB.44.12263
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Journal ISSN1098-0121
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