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Title: | Return-point memory of the random field Ising model at zero temperature in the mean-field approximation |
Author: | Fàbregas Bellavista, Àgata |
Director/Tutor: | Ortín, Jordi, 1959- |
Keywords: | Model d'Ising Histèresi Treballs de fi de grau Ising model Hysteresis Bachelor's theses |
Issue Date: | Jun-2023 |
Abstract: | 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. |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2023, Tutor: Jordi Ortín Rull |
URI: | http://hdl.handle.net/2445/200947 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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FABREGAS BELLAVISTA AGATA_7934175.pdf | 494.43 kB | Adobe PDF | View/Open |
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