Ben Abdallah, Naoufel; Fouassier, Elise; Jourdana, Clément; Sanchez, David On a model of magnetization switching driven by a spin current: a multiscale approach. (English) Zbl 1332.35351 Commun. Math. Sci. 13, No. 7, 1875-1904 (2015). Summary: We study a model of magnetization switching driven by a spin current: the magnetization reversal can be induced without applying an external magnetic field. We first write our one-dimensional model in an adimensionalized form using a small parameter \(\varepsilon\). We then explain the various time and space scales involved in the studied phenomena. Taking into account these scales, we first construct an appropriate numerical scheme that allows us to recover numerically various results of physical experiments. We then perform a formal asymptotic study as \(\varepsilon\) tends to \(0\) using a multiscale approach and asymptotic expansions. We thus obtain approximate limit models that we compare with the original model via numerical simulations. MSC: 35Q60 PDEs in connection with optics and electromagnetic theory 35B40 Asymptotic behavior of solutions to PDEs 41A60 Asymptotic approximations, asymptotic expansions (steepest descent, etc.) 65Z05 Applications to the sciences 78A25 Electromagnetic theory (general) 35C20 Asymptotic expansions of solutions to PDEs Keywords:spin transfer; spintronics; micromagnetics; Landau-Lifshitz equation; numerical simulations; multiscale analysis; asymptotic expansions PDFBibTeX XMLCite \textit{N. Ben Abdallah} et al., Commun. Math. Sci. 13, No. 7, 1875--1904 (2015; Zbl 1332.35351) Full Text: DOI