Stochastic Dynamics in Quenched-in Disorder and Hysteresis

Details Stochastic Dynamics in Quenched-in Disorder and Hysteresis Stochastic Dynamics in Quenched-in Disorder and Hysteresis

1998-11-03

arxiv.org/abs/cond-mat/9811034v1

Physics

Condensed Matter

Materials Science

7 pages, 3 figures, MMM Conference, to be published on J.Appl.Phys

Scientific paper

10.1063/1.369782

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.

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