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Influence of the driving mechanism on the response of systems with athermal dynamics: The example of the random-field Ising model
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We investigate the influence of the driving mechanism on the hysteretic response of systems with athermal dynamics. In the framework of local mean-field theory at finite temperature (but neglecting thermally activated processes), we compare the rate-independent hysteresis loops obtained in the random field Ising model when controlling either the external magnetic field H or the extensive magnetization M. Two distinct behaviors are observed, depending on disorder strength. At large disorder, the H-driven and M-driven protocols yield identical hysteresis loops in the thermodynamic limit. At low disorder, when the H-driven magnetization curve is discontinuous (due to the presence of a macroscopic avalanche), the M-driven loop is reentrant while the induced field exhibits strong intermittent fluctuations and is only weakly self-averaging. The relevance of these results to the experimental observations in ferromagnetic materials, shape memory alloys, and other disordered systems is discussed.
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ILLA I TORTÓS, Xavier, ROSINBERG, Martin-Luc and VIVES I SANTA-EULÀLIA, Eduard. Influence of the driving mechanism on the response of systems with athermal dynamics: The example of the random-field Ising model. Physical Review B. 2006. Vol. 74, num. 22, pags. 224403-1-224403-10. ISSN 0163-1829. [consulted: 6 of June of 2026]. Available at: https://hdl.handle.net/2445/10563