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https://physrep.ff.bg.ac.rs/handle/123456789/961
Title: | Exact results for mean-field zero-temperature random-field Ising model | Authors: | Spasojević, Djordje Janićević, Sanja Knežević, Milan |
Issue Date: | 1-Dec-2006 | Journal: | Europhysics Letters | Abstract: | 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 (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. © EDP Sciences. |
URI: | https://physrep.ff.bg.ac.rs/handle/123456789/961 | ISSN: | 0295-5075 | DOI: | 10.1209/epl/i2006-10361-8 |
Appears in Collections: | Journal Article |
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