Elastic magnetic curves of ferromagnetic and superparamagnetic models
Talat Körpınar, Rıdvan Cem Demi̇rkol, Zeliha Körpınar
Abstract
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.
Topics & Concepts
MathematicsSuperparamagnetismFrenet–Serret formulasMathematical analysisClass (philosophy)Space (punctuation)FerromagnetismClassical mechanicsMagnetic fieldGeometryPhysicsCondensed matter physicsQuantum mechanicsMagnetizationComputer scienceArtificial intelligenceOperating systemCurvatureNonlinear Waves and SolitonsGeometric Analysis and Curvature Flows