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Stochastic Dynamics in Quenched-in Disorder and Hysteresis

Giorgio Bertotti·Vittorio Basso·Alessandro Magni
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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.

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BibTeXRIS

Giorgio Bertotti, Vittorio Basso, Alessandro Magni. 1998-11-03. Stochastic Dynamics in Quenched-in Disorder and Hysteresis. https://doi.org/10.1063/1.369782

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