| Issue |
Europhys. Lett.
Volume 76, Number 5, December 2006
|
|
|---|---|---|
| Page(s) | 912 - 918 | |
| Section | Condensed matter: electronic structure, electrical, magnetic, and optical properties | |
| DOI | https://doi.org/10.1209/epl/i2006-10361-8 | |
| 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
Received:
5
May
2006
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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