Stochastic Dynamics in Quenched-in Disorder and Hysteresis
Materials Science
2009-10-31 v1
Abstract
The conditions under which relaxation dynamics in the presence of quenched-in disorder lead to rate-independent hysteresis are discussed. The calculation of average hysteresis branches is reduced to the solution of the level-crossing problem for the stochastic field describing quenched-in disorder. Closed analytical solutions are derived for the case where the disorder is characterized by Wiener-Levy statistics. This case is shown to be equivalent to the Preisach model and the associated Preisach distribution is explicitly derived, as a function of the parameters describing the original dynamic problem.
Cite
@article{arxiv.cond-mat/9811034,
title = {Stochastic Dynamics in Quenched-in Disorder and Hysteresis},
author = {Giorgio Bertotti and Vittorio Basso and Alessandro Magni},
journal= {arXiv preprint arXiv:cond-mat/9811034},
year = {2009}
}
Comments
7 pages, 3 figures, MMM Conference, to be published on J.Appl.Phys