Random Hysteresis Loops

Details Random Hysteresis Loops Random Hysteresis Loops

2011-07-28

arxiv.org/abs/1107.5662v1

Mathematics

Probability

32 pages, 3 figures, to appear on Annales Henri Poincare

Scientific paper

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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