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

Ortín, Jordi, 1959-Fàbregas Bellavista, Àgata2023-07-202023-07-202023-06https://hdl.handle.net/2445/200947Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutor: Jordi Ortín RullThe 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.5 p.application/pdfengcc-by-nc-nd (c) Fàbregas, 2023http://creativecommons.org/licenses/by-nc-nd/3.0/es/Model d'IsingHistèresiTreballs de fi de grauIsing modelHysteresisBachelor's thesesReturn-point memory of the random field Ising model at zero temperature in the mean-field approximationinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess