Volume 76, Number 5, December 2006
|Page(s)||912 - 918|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||03 November 2006|
Exact results for mean-field zero-temperature random-field Ising model
Faculty of Physics, University of Belgrade - P.O. Box 368, 11000 Belgrade, Serbia
Accepted: 11 October 2006
We present an analysis of the dynamical critical behavior of the mean-field zero-temperature random-field Ising model, based on the probability of finding a given sequence in the response signal, which has the form of a Markov chain with Poisson transition probabilities. We provide an exact description of the avalanche duration distribution, the absolute probabilities of signal values, and the signal time-autocorrelation function. The overall behavior of these quantities depends on their characteristic lengths, which all diverge near the critical point () as , where z is a control parameter of the underlying dynamics. Our findings are corroborated with the results of extensive simulations.
PACS: 75.10.Nr – Spin-glass and other random models / 64.60.Ht – Dynamic critical phenomena / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion
© EDP Sciences, 2006
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