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March 2005 Barkhausen Effect: A Stick--Slip Motion in a Random Medium\
Natalie Grunewald
Methods Appl. Anal. 12(1): 29-42 (March 2005).

Abstract

A one--dimensional model for the Barkhausen effect is considered. This model describes a motion in a random medium. The motion exhibits a stick--slip type behaviour in the limit of small correlation length of the random medium. However, we prove that the velocity of the limiting motion is positive almost everywhere. For this the corresponding Fokker--Planck equation is examined. This equation is degenerated and has a critical singularity as well as no gradient structure. Therefore, the proof relies mainly on choosing the right test functions, which gives natural boundary conditions in the limit.

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Natalie Grunewald. "Barkhausen Effect: A Stick--Slip Motion in a Random Medium\." Methods Appl. Anal. 12 (1) 29 - 42, March 2005.

Information

Published: March 2005
First available in Project Euclid: 6 June 2006

zbMATH: 1126.60092
MathSciNet: MR2203172

Rights: Copyright © 2005 International Press of Boston

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Vol.12 • No. 1 • March 2005
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