Elastic magnetic curves of ferromagnetic and superparamagnetic models

In this paper, new energy functionals are described via the variational approach method. By doing this, a new class of elastic curves is described in the three‐dimensional ordinary space. An alternative method is also investigated to compute critical points of the bending energy functionals acting o...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2021-05, Vol.44 (7), p.5797-5820
Main Authors: Körpınar, Talat, Demirkol, Rıdvan Cem, Körpınar, Zeliha
Format: Article
Language:English
Subjects:
Bending energy functionals
Critical point
elastic curves
Ferromagnetism
magnetic curves
superparamagnetism
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Summary:In this paper, new energy functionals are described via the variational approach method. By doing this, a new class of elastic curves is described in the three‐dimensional ordinary space. An alternative method is also investigated to compute critical points of the bending energy functionals acting on a class of magnetic curves. Then, classifications of these critical curves are presented as elastic magnetic curves of the Frenet–Serret vectors family. Moreover, the dynamics of the elastic magnetic curves of ferromagnetic and superparamagnetic models are discussed with their numerical and analytical analysis.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7149