Influence of the driving mechanism on the response of systems with athermal dynamics: the example of the random-field Ising model

Abstract

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 thermallly activated processes), we compare the rate-independent hysteresis loops obtained in the random field Ising model (RFIM) 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 re-entrant 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.

arXiv comment11 pages, 11 figures

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Cited by in corpus (11)

• Driving-induced crossover: from classical criticality to self-organized criticality
• Effect of the reservoir size on gas adsorption in inhomogeneous porous media
• The T=0 random-field Ising model on a Bethe lattice with large coordination number: hysteresis and metastable states
• The magnetization-driven random field Ising model at T=0
• Statistical Mechanics of Avalanches
• Hysteresis and complexity in the zero-temperature mean-field RFIM: the soft-spin version
• Stable, metastable and unstable states in the mean-field RFIM at T=0
• Critical behavior of a Ginzburg-Landau model with additive quenched noise
• Modelling avalanches in martensites
• Suppression of spinodal instability by disorder in an athermal system
• Hysteresis in the Ising model with Glauber dynamics