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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… Click to show full 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.
Keywords:
random field;
infinite avalanches;
nonequilibrium random;
zero temperature;
lattice;
temperature nonequilibrium
Journal Title: Physical Review E
Year Published: 2017
Link to full text (if available)
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Journal Title: Physical Review E
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!