Distribution of Avalanche Sizes in the Hysteretic Response of Random Field Ising Model on a Bethe Lattice at Zero Temperature

Simple item page
dc.creatorSabhapandit, Sanjib
dc.creatorShukla, Prabodh
dc.creatorDhar, Deepak
dc.date1999-05-17
dc.date2001-04-08
dc.date.accessioned2026-07-07T09:31:22Z
dc.date.available2026-07-07T09:31:22Z
dc.descriptionWe 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.
dc.description30 pages, 10 eps figures
dc.identifierhttps://arxiv.org/abs/cond-mat/9905236
dc.identifierhttp://arxiv.org/abs/cond-mat/9905236
dc.identifierJournal of Statistical Physics 98 (2000) 103
dc.identifierdoi:10.1023/A:1018622805347
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158432
dc.subjectStatistical Mechanics
dc.titleDistribution of Avalanche Sizes in the Hysteretic Response of Random Field Ising Model on a Bethe Lattice at Zero Temperature
dc.typetext

Files

Collections

arXiv