Work

Criteria for infinite avalanches in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice

Year: 2017
Type: article
Abstract: We present general criteria for the occurrence of infinite avalanches and critical hysteresis in the zero-temperature nonequilibrium random-field Ising model on a Bethe lattice. Drawing upon extant results as well as a result on a dilute four-coordinated (z=4) lattice, we show that diverging avalanches can occur if an arbitrarily small fraction of sites on a spanning cluster have connectivity z≥4.
Language: English
Open Access status: green
OpenAlex ID: W2437393063
FWCI: 0.814
Cites: 22
Cited by: 12
Related to: 10