On the stability of steady-states of a two-dimensional system of ferromagnetic nanowires
| Autor: | Shruti Dubey, Sharad Dwivedi |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Condensed matter physics
Applied Mathematics 010103 numerical & computational mathematics 01 natural sciences Stability (probability) 010101 applied mathematics Domain wall (magnetism) Computational Theory and Mathematics Ferromagnetic nanowires 0101 mathematics Statistics Probability and Uncertainty Micromagnetics Mathematical Physics Mathematics |
| Zdroj: | Journal of Applied Analysis. 23:89-100 |
| ISSN: | 1869-6082 1425-6908 |
| DOI: | 10.1515/jaa-2017-0013 |
| Popis: | We investigate the stability features of steady-states of a two-dimensional system of ferromagnetic nanowires. We constitute a system with the finite number of nanowires arranged on the ( e → 1 , e → 2 ) {(\vec{e}_{1},\vec{e}_{2})} plane, where ( e → 1 , e → 2 , e → 3 ) {(\vec{e}_{1},\vec{e}_{2},\vec{e}_{3})} is the canonical basis of ℝ 3 {\mathbb{R}^{3}} . We consider two cases: in the first case, each nanowire is considered to be of infinite length, whereas in the second case, we deal with finite length nanowires to design the system. In both cases, we establish a sufficient condition under which these steady-states are shown to be exponentially stable. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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