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One-Way Hysteresis in the Depinning Transition

Ron Maimon·J. M. Schwarz
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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.

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Ron Maimon, J. M. Schwarz. 2003-01-27. One-Way Hysteresis in the Depinning Transition. https://doi.org/10.1103/physrevlett.92.255502

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