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. © 2013 Association des Publications de l'Institut Henri Poincaré.
Random hysteresis loops / Carinci, G.. - In: ANNALES DE L'INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES. - ISSN 0246-0203. - 49:2(2013), pp. 307-339. [10.1214/11-AIHP461]
Random hysteresis loops
Carinci G.
2013
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, N the size of the system, the "critical" hysteresis loop becomes random. © 2013 Association des Publications de l'Institut Henri Poincaré.
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