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Treball de fi de grau

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cc-by-nc-nd (c) Fàbregas, 2023
Si us plau utilitzeu sempre aquest identificador per citar o enllaçar aquest document: https://hdl.handle.net/2445/200947

Return-point memory of the random field Ising model at zero temperature in the mean-field approximation

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The random field Ising model at zero temperature (RFIM T=0) is a paradigmatic model of hysteresis and memory of driven extended disordered systems. Under quasistatic driving these systems display interesting properties such as return-point memory (RPM) of partial cycles. Here we show how to solve the T=0 RFIM in the mean-field approximation, and prove that in this simple approximation the model still displays hysteresis, though only for sufficiently narrow distributions of random fields. We simulate partial hysteresis cycles and first-order reversal curves (FORC) for this case, and show that the T=0 RFIM in the mean-field approximation verifies also the RPM.

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Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutor: Jordi Ortín Rull

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FÀBREGAS BELLAVISTA, Àgata. Return-point memory of the random field Ising model at zero temperature in the mean-field approximation. [consulta: 23 de gener de 2026]. [Disponible a: https://hdl.handle.net/2445/200947]

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