Analysis of wasp-waisted hysteresis loops in magnetic rocks
R S Kharwanlang, Prabodh Shukla
TL;DR
This paper extends the random-field Ising model to dilute magnets on a Bethe lattice, deriving exact hysteresis loop expressions, and offers insights into the shapes of magnetic rock hysteresis loops in the dilute limit.
Contribution
It introduces a generalized model for dilute magnetic systems and provides exact solutions for hysteresis loops, enhancing understanding of magnetic rock behavior.
Findings
Exact expressions for major and minor hysteresis loops
Simplified understanding of hysteresis shapes in magnetic rocks
Model applicability in the strongly dilute limit
Abstract
The random-field Ising model of hysteresis is generalized to dilute magnets and solved on a Bethe lattice. Exact expressions for the major and minor hysteresis loops are obtained. In the strongly dilute limit the model provides a simple and useful understanding of the shapes of hysteresis loops in magnetic rock samples.
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