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

Stinchcombe, Robin B.
Published in Physical Review. B, Condensed Matter. 1991, vol. 44, no. 22, p. 12263-12274
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.
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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, 1991, vol. 44, n° 22, p. 12263-12274. https://archive-ouverte.unige.ch/unige:91477

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