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Talk Abstract
Mathematical Modelling of Barkhausen Jump Size Distributions

Fern Y. Hunt, National Institute of Standards and Technology

Ferromagnetic materials exhibit jumps in magnetization in the presence of an applied magnetic field of increasing strength, a phenomenon that is commonly known as the Barkhausen effect. It results from the motion of domain wall boundaries of the material in response to a fluctuating magnetic field. The pattern of jumps gives important information about the material microstructure and the Barkhausen signal is used to characterize photo-optical devices, computer storage and recording media.

The pinning field associated with the movement of magnetic domain walls is modelled as a reversible Markov Chain. This enables us to obtain analytical expressions for the Barhausen jump size distribution, and to describe the behavior of the distribution in terms of a parameter associated with the roughness of the material.

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