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arXiv · 1107.5662

Random Hysteresis Loops

Gioia Carinci
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Abstract

Dynamical hysteresis is a phenomenon which arises in ferromagnetic systems below the critical temperature as a response to adiabatic variations of the external magnetic field. We study the problem in the context of the mean-field Ising model with Glauber dynamics, proving that for frequencies of the magnetic field oscillations of order $N^{2/3}$, with $N$ the size of the system, the "critical" hysteresis loop becomes random.

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Gioia Carinci. 2013-12-01. Random Hysteresis Loops. https://arxiv.org/abs/1107.5662

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