Stretched-exponential behavior in Ising critical dynamics

Ghosh, M. ; Chakrabarti, B. K. (1990) Stretched-exponential behavior in Ising critical dynamics Physical Review B, 42 (4). pp. 2578-2581. ISSN 0163-1829

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By use of Monte Carlo simulations in 10002 and 1003 Ising systems in the para phase, magnetic relaxation is shown to have a Kohlrausch-type stretched-exponentialbehavior, ℳ(t)~exp(-t/ t)α, 0<α<1, for t<tc and normal Debye relaxation with α=1 for t>tc; the crossover time tc diverges near the transition point Tc. The average relaxation time t shows normal critical slowing down: t~(T-Tc)-νz, νzℑ1.8 and 1.1 in dimensions d=2 and 3, respectively. We find α≃0.33 for d=2 and 0.4 for d=3. These are compared with previous observations of stretched-exponential relaxation and critical slowing-down behavior of Ising critical dynamics.

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Source:Copyright of this article belongs to The American Physical Society.
ID Code:44875
Deposited On:23 Jun 2011 09:54
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