Study of Quasi-Static Magnetization with the Random-Field Ising Model
The topic of this paper is modeling based on Hamiltonian spin interactions. Preliminary studies on the identification of quasi-static magnetizing field in a magnetic system were presented. The random-field Ising model was then used to simulate the simplified ferromagnetic structure. The validation o...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-05-01
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| Series: | Algorithms |
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| Online Access: | https://www.mdpi.com/1999-4893/13/6/134 |
| _version_ | 1797566667122802688 |
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| author | Roman Gozdur |
| author_facet | Roman Gozdur |
| author_sort | Roman Gozdur |
| collection | DOAJ |
| description | The topic of this paper is modeling based on Hamiltonian spin interactions. Preliminary studies on the identification of quasi-static magnetizing field in a magnetic system were presented. The random-field Ising model was then used to simulate the simplified ferromagnetic structure. The validation of algorithms and simulation tests were carried out for the 2D and the 3D model spaces containing at least 10<sup>6</sup> unit cells. The research showed that the response of a slowly driven magnetic system did not depend on the external field sweep rate. Changes in the spatial magnetization of the lattice were very similar below a certain rate of the external field change known as the quasi-static boundary. The observed differences in obtained magnetization curves under quasi-static conditions stemmed from the random nature of the molecular field and the avalanche-like magnetization process |
| first_indexed | 2024-03-10T19:29:43Z |
| format | Article |
| id | doaj.art-776c0bfa865f4da19f39713db9641ab3 |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-03-10T19:29:43Z |
| publishDate | 2020-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-776c0bfa865f4da19f39713db9641ab32023-11-20T02:12:24ZengMDPI AGAlgorithms1999-48932020-05-0113613410.3390/a13060134Study of Quasi-Static Magnetization with the Random-Field Ising ModelRoman Gozdur0Department of Semiconductor and Optoelectronics Devices, Lodz University of Technology, Wólczańska Str. 211/215, 90-924 Łódź, PolandThe topic of this paper is modeling based on Hamiltonian spin interactions. Preliminary studies on the identification of quasi-static magnetizing field in a magnetic system were presented. The random-field Ising model was then used to simulate the simplified ferromagnetic structure. The validation of algorithms and simulation tests were carried out for the 2D and the 3D model spaces containing at least 10<sup>6</sup> unit cells. The research showed that the response of a slowly driven magnetic system did not depend on the external field sweep rate. Changes in the spatial magnetization of the lattice were very similar below a certain rate of the external field change known as the quasi-static boundary. The observed differences in obtained magnetization curves under quasi-static conditions stemmed from the random nature of the molecular field and the avalanche-like magnetization processhttps://www.mdpi.com/1999-4893/13/6/134Ising modelquasi-static magnetizationmagnetic simulationshysteresis modeling |
| spellingShingle | Roman Gozdur Study of Quasi-Static Magnetization with the Random-Field Ising Model Algorithms Ising model quasi-static magnetization magnetic simulations hysteresis modeling |
| title | Study of Quasi-Static Magnetization with the Random-Field Ising Model |
| title_full | Study of Quasi-Static Magnetization with the Random-Field Ising Model |
| title_fullStr | Study of Quasi-Static Magnetization with the Random-Field Ising Model |
| title_full_unstemmed | Study of Quasi-Static Magnetization with the Random-Field Ising Model |
| title_short | Study of Quasi-Static Magnetization with the Random-Field Ising Model |
| title_sort | study of quasi static magnetization with the random field ising model |
| topic | Ising model quasi-static magnetization magnetic simulations hysteresis modeling |
| url | https://www.mdpi.com/1999-4893/13/6/134 |
| work_keys_str_mv | AT romangozdur studyofquasistaticmagnetizationwiththerandomfieldisingmodel |