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Elastic magnetic curves of ferromagnetic and superparamagnetic models
Author(s) -
Körpınar Talat,
Demirkol Rıdvan Cem,
Körpınar Zeliha
Publication year - 2021
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.7149
Subject(s) - mathematics , superparamagnetism , frenet–serret formulas , mathematical analysis , class (philosophy) , space (punctuation) , ferromagnetism , classical mechanics , magnetic field , geometry , physics , condensed matter physics , quantum mechanics , magnetization , computer science , curvature , artificial intelligence , operating system
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.