Statistical Mechanics of Avalanches

Abstract

Statistical mechanics of infinite avalanches is studied in the framework of nonequilibrium random-field Ising model. Critical behavior of the model on a random graph (dilute Bethe lattice) is analyzed in detail. We show that sites with a minimum coordination number 4 play a key role in the occurrence of infinite avalanches. Earlier results which did not seem to fit together very well are explained.

Replaced with the published version. Title is expanded. Some text is rewritten for greater clarity

References in corpus (4)

• Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model
• Hysteresis in Random-field Ising model on a Bethe lattice with a mixed coordination number
• Nonequilibrium random-field Ising model on a diluted triangular lattice
• Stable, metastable and unstable states in the mean-field RFIM at T=0

Cited by in corpus (7)

• First encounters on Bethe Lattices and Cayley Trees
• Weird scaling for 2-D avalanches: Curing the faceting, and scaling in the lower critical dimension
• Hysteresis in the zero-temperature random field Ising model on directed random graphs
• Critical hysteresis on dilute triangular lattice
• Hysteresis in the Ising model with Glauber dynamics
• Hysteresis and return point memory in the random field Blume Capel model
• Understanding jump discontinuity in disordered system