Stochastic dynamics in quenched-in disorder and hysteresis
- 15 April 1999
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 85 (8) , 4355-4357
- https://doi.org/10.1063/1.369782
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–Lévy 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.All Related Versions
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