Domain walls dynamics in a nanowire subject to an electric current

In this work, we aim to study a one dimensional model of ferromagnetic wire submitted to an electric field modeled by a transport term involved in the Landau–Lifschitz equation. We will consider two types of wires: the case of a wire with elliptical section and the case of a wire with round section....

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Bibliographic Details
Published inJournal of Differential Equations Vol. 258; no. 8; pp. 2941 - 2965
Main Authors Carbou, Gilles, Jizzini, Rida
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.04.2015
Elsevier
Subjects
Analysis of PDEs
Condensed Matter
Ferromagnetic materials
Landau–Lifschitz equation
Materials Science
Mathematics
Physics
Stability
Landau–Lifschitz equation
Ferromagnetic materials
Stability
Landau-Lifschitz equation
ferromagnetic materials
stability
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ISSN0022-0396
1090-2732
1090-2732
DOI10.1016/j.jde.2014.12.035

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Summary:In this work, we aim to study a one dimensional model of ferromagnetic wire submitted to an electric field modeled by a transport term involved in the Landau–Lifschitz equation. We will consider two types of wires: the case of a wire with elliptical section and the case of a wire with round section. For both cases we prove the stability of exact solutions describing one wall configurations.
ISSN:0022-0396
1090-2732
1090-2732
DOI:10.1016/j.jde.2014.12.035