Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach

Details Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach

1995-07-26

arxiv.org/abs/cond-mat/9507118v1

Physics

Condensed Matter

134 pages in REVTEX, plus 21 figures. The first two figures can be obtained from the references quoted in their respective fig

Scientific paper

10.1103/PhysRevB.53.14872

We study the zero temperature random field Ising model as a model for noise and avalanches in hysteretic systems. Tuning the amount of disorder in the system, we find an ordinary critical point with avalanches on all length scales. Using a mapping to the pure Ising model, we Borel sum the $6-\epsilon$ expansion to $O(\epsilon^5)$ for the correlation length exponent. We sketch a new method for directly calculating avalanche exponents, which we perform to $O(\epsilon)$. Numerical exponents in 3, 4, and 5 dimensions are in good agreement with the analytical predictions.

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