Dj. Spasojević et al 2006 Europhys. Lett. 76 912 doi:10.1209/epl/i2006-10361-8
Exact results for mean-field zero-temperature random-field Ising model
Dj. Spasojević, S. Janićević and M. Knežević
Show affiliationsWe 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 (z = 1) as ~ 1/|ln (z)|, where z is a control parameter of the underlying dynamics. Our findings are corroborated with the results of extensive simulations.
- PACS
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75.10.Nr Spin-glass and other random models
05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion
- Subjects
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Condensed matter: electrical, magnetic and optical
- Dates
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Issue 5 (December 2006)
Received 5 May 2006, accepted for publication 11 October 2006, in final form 11 October 2006
Published 3 November 2006
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Exact results for mean-field zero-temperature random-field Ising model
Dj. Spasojević et al 2006 Europhys. Lett. 76 912
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