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Title: | Distribution of Avalanche Sizes in the Hysteretic Response of Random Field Ising Model on a Bethe Lattice at Zero Temperature |
Authors: | Sabhapandit, Sanjib Shukla, Prabodh Dhar, Deepak |
Issue Date: | 2000 |
Publisher: | Springer Verlag |
Citation: | Journal of Statistical Physics, 2000, V.98, p103 |
Abstract: | We consider the zero-temperature single-spin-flip dynamics of the random-field Ising model on a Bethe lattice in the presence of an external field h. We derive the exact self-consistent equations to determine the distribution Prob(s) of avalanche sizes s, as the external field increases from large negative to positive values. We solve these equations explicitly for a rectangular distribution of the random fields for a linear chain and the Bethe lattice of coordination number z=3, and show that in these cases, Prob(s) decreases exponentially with s for large s for all h on the hysteresis loop. We found that for z >3 and for small disorder, the magnetization shows a first order discontinuity for several continuous and unimodel distributions of random fields. The avalanche distribution Prob(s) varies as s^{-3/2} for large s near the discontinuity. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4557 |
ISSN: | 0022-4715 1572-9613 (Online) |
Alternative Location: | http://arxiv.org/abs/cond-mat/9905236 http://adsabs.harvard.edu/abs/1999cond.mat..5236S |
Copyright: | 2000, Springer Verlag |
Appears in Collections: | Research Papers (TP) |
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2000_J Stat phys_V98_p103.pdf Restricted Access | Restricted Access | 225.2 kB | Adobe PDF | View/Open Request a copy |
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