Rayleigh loops in the random-field Ising model on the Bethe lattice

Abstract

We analyze the demagnetization properties of the random-field Ising model on the Bethe lattice focusing on the beahvior near the disorder induced phase transition. We derive an exact recursion relation for the magnetization and integrate it numerically. Our analysis shows that demagnetization is possible only in the continous high disorder phase, where at low field the loops are described by the Rayleigh law. In the low disorder phase, the saturation loop displays a discontinuity which is reflected by a non vanishing magnetization m_\infty after a series of nested loops. In this case, at low fields the loops are not symmetric and the Rayleigh law does not hold.

8pages, 6 figures

References in corpus (3)

• Crackling Noise
• Hysteresis and Avalanches in the Random Anisotropy Ising Model
• Low field hysteresis in disordered ferromagnets

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• Absence of jump discontinuity in the magnetization in quasi-one-dimensional random-field Ising models
• Hysteresis loop signatures of phase transitions in a mean-field model of disordered Ising magnet