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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 (one of the alternative locations)
ISSN: 0022-4715
1572-9613 (Online)
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Copyright: 2000, Springer Verlag
Appears in Collections:Research Papers (TP)

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