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ELASTIC MAGNETIC CURVES OF FERROMAGNETIC AND SUPERPARAMAGNETIC MODELS
  • Talat Körpınar,
  • Rıdvan Demirkol,
  • Zeliha Körpınar
Talat Körpınar
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Rıdvan Demirkol
Mus Alparslan Universitesi
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Zeliha Körpınar
Mus Alparslan Universitesi
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Abstract

We are interested in defining new energy functionals and solving them by using the variational approach method. That is, we aim to define a new class of elastic curves in the three-dimensional ordinary space. We further improve an alternative method to find critical points of the bending energy functionals acting on a class of magnetic curves. Then, we classify these critical curves as elastic magnetic curves of the Frenet-Serret vector family. Moreover, we investigate the dynamics of the elastic magnetic curves of ferromagnetic and superparamagnetic models and discuss their numerical and analytical analysis.

Peer review status:ACCEPTED

24 Aug 2020Submitted to Mathematical Methods in the Applied Sciences
25 Aug 2020Submission Checks Completed
25 Aug 2020Assigned to Editor
05 Oct 2020Reviewer(s) Assigned
07 Dec 2020Review(s) Completed, Editorial Evaluation Pending
07 Dec 2020Editorial Decision: Revise Minor
09 Dec 20201st Revision Received
09 Dec 2020Submission Checks Completed
09 Dec 2020Assigned to Editor
09 Dec 2020Editorial Decision: Accept