One-Way Hysteresis in the Depinning Transition
Disordered Systems and Neural Networks
2023-02-07 v1 Statistical Mechanics
Abstract
We identify a mechanism for a type of hysteresis which we predict to occur in a variety of depinning transitions. We show that the phenomenon of one-way hysteresis is generic to stress-overshoot models of the depinning transition, and we show how to calculate the size of the hysteresis gap exactly in a large class of models. Unlike thermodynamic phase transitions, the dynamic phase transition is still {\em continuous} despite the presence of hysteresis because the terms which produce the hysteresis are renormalization group irrelevant. We discuss the experimental and numerical signatures of one-way hysteresis, which includes microscopic nucleation.
Cite
@article{arxiv.cond-mat/0301495,
title = {One-Way Hysteresis in the Depinning Transition},
author = {Ron Maimon and J. M. Schwarz},
journal= {arXiv preprint arXiv:cond-mat/0301495},
year = {2023}
}
Comments
5 pages, 1 figure