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Random hysteresis loops

Gioia Carinci — 2013

Annales de l'I.H.P. Probabilités et statistiques

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 , N the size of the system, the “critical” hysteresis loop becomes random.

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