## Abstract It is shown that the moving model, which is a variant of the Preisach model for hysteresis, possesses the wiping out property and is continuous in __C__[0, __T__] under natural assumptions.
Simple standard problem for the Preisach moving model
✍ Scribed by F.J Morentı́n; O Alejos; C de Francisco; J.M Muñoz; P Hernández-Gómez; C Torres
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 184 KB
- Volume
- 343
- Category
- Article
- ISSN
- 0921-4526
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✦ Synopsis
The present work proposes a simple magnetic system as a candidate for a Standard Problem for Preisach-based models. The system consists in a regular square array of magnetic particles totally oriented along the direction of application of an external magnetic field. The behavior of such system was numerically simulated for different values of the interaction between particles and of the standard deviation of the critical fields of the particles. The characteristic parameters of the Preisach moving model were worked out during simulations, i.e., the mean value and the standard deviation of the interaction field.
For this system, results reveal that the mean interaction field depends linearly on the system magnetization, as the Preisach moving model predicts. Nevertheless, the standard deviation cannot be considered as independent of the magnetization. In fact, the standard deviation shows a maximum at demagnetization and two minima at magnetization saturation. Furthermore, not all the demagnetization states are equivalent. The plot standard deviation vs. magnetization is a multi-valuated curve when the system undergoes an AC demagnetization procedure. In this way, the standard deviation increases as the system goes from coercivity to the AC demagnetized state.
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