Methods and Applications of Analysis

Barkhausen Effect: A Stick--Slip Motion in a Random Medium\

Natalie Grunewald

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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.

Article information

Source
Methods Appl. Anal., Volume 12, Number 1 (2005), 29-42.

Dates
First available in Project Euclid: 6 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.maa/1149624205

Mathematical Reviews number (MathSciNet)
MR2203172

Zentralblatt MATH identifier
1126.60092

Citation

Grunewald, Natalie. Barkhausen Effect: A Stick--Slip Motion in a Random Medium\. Methods Appl. Anal. 12 (2005), no. 1, 29--42. https://projecteuclid.org/euclid.maa/1149624205


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