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Metastable Random Field Ising Model at T=0: Discontinuities of the Hysteresis Loop and Avalanches

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Abstract Book of the XXIII IUPAP International Conference on Statistical Physics, Genova, Italy, (9-13 July 2007)

Abstract

The Random field Ising Model at T=0 is a paradigmatic model for the study of hysteresis in athermal first-order phase transitions. It predicts the avalanche dynamics that has been observed in many experimental systems driven by an external force. The model can be exactly solved on the Bethe lattice. The solution allows to understand that the magnetization versus field trajectories are continuous in the thermodynamic limit except for low amounts of disorder where a discontinuity point occurs at a certain value of the field. We have computed the probability for finding avalanches along the metastable paths. Even in the regions where the trajectory is continuous the probability for having an avalanche is finite and different from zero. References:\\ X.Illa et al. Phys. Rev. B 74, 224404 (2006)

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