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The validation of algorithms and simulation tests were carried out for the 2D and the 3D model spaces containing at least 106 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<\/jats:p>","DOI":"10.3390\/a13060134","type":"journal-article","created":{"date-parts":[[2020,6,1]],"date-time":"2020-06-01T11:49:21Z","timestamp":1591012161000},"page":"134","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Study of Quasi-Static Magnetization with the Random-Field Ising Model"],"prefix":"10.3390","volume":"13","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1003-7635","authenticated-orcid":false,"given":"Roman","family":"Gozdur","sequence":"first","affiliation":[{"name":"Department of Semiconductor and Optoelectronics Devices, Lodz University of Technology, W\u00f3lcza\u0144ska Str. 211\/215, 90-924 \u0141\u00f3d\u017a, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,5,29]]},"reference":[{"key":"ref_1","first-page":"96","article-title":"Simulating physics with cellular automata","volume":"10D","author":"Vichniac","year":"1984","journal-title":"Physica"},{"key":"ref_2","unstructured":"von Neumann, J. 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