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Statistical Mechanics of Avalanches

Statistical Mechanics 2017-04-20 v2

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.

Keywords

Cite

@article{arxiv.1606.05066,
  title  = {Statistical Mechanics of Avalanches},
  author = {Prabodh Shukla and Diana Thongjaomayum},
  journal= {arXiv preprint arXiv:1606.05066},
  year   = {2017}
}

Comments

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

R2 v1 2026-06-22T14:26:41.324Z