Statistical Mechanics of Avalanches
Prabodh Shukla, Diana Thongjaomayum
TL;DR
This paper investigates the critical behavior of infinite avalanches in a nonequilibrium random-field Ising model on a dilute Bethe lattice, highlighting the importance of sites with coordination number four.
Contribution
It provides a detailed analysis of the critical behavior of infinite avalanches and clarifies previous inconsistent results within the model.
Findings
Sites with coordination number 4 are crucial for infinite avalanches.
The model's critical behavior is characterized on a dilute Bethe lattice.
Previous discrepancies in results are explained by the role of specific sites.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.