Approximate solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the normal direction in Minkowski space
| Autor: | Talat Körpinar, Rıdvan Cem Demirkol, Zeliha Korpinar |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Curvilinear coordinates Spacetime Magnetic field lines Lorentz transformation Magnetic flux surface Geometric phase Atomic and Molecular Physics and Optics Magnetic flux Electronic Optical and Magnetic Materials Fractional calculus Heisenberg antiferromagnetic flow Lorentz force symbols.namesake Classical mechanics Flow (mathematics) Minkowski space symbols Condensed Matter::Strongly Correlated Electrons Electrical and Electronic Engineering |
| Zdroj: | Optik. 238:166403 |
| ISSN: | 0030-4026 |
| DOI: | 10.1016/j.ijleo.2021.166403 |
| Popis: | 2-s2.0-85102794313 Motivated by recent researches in magnetic curves and their flows in different types of geometric manifolds and physical spacetime structures, we compute fractional Lorentz force equations associated with the magnetic n-lines in the normal direction in Minkowski space. Fractional evolution equations of magnetic n-lines due to inextensible Heisenberg antiferromagnetic flow are computed to construct the soliton surface associated with the inextensible Heisenberg antiferromagnetic flow. Then, their approximate solutions are investigated in terms of magnetic and geometric quantities via the conformable fractional derivative method. By considering arc-length and time-dependent orthogonal curvilinear coordinates, we finally determine the necessary and sufficient conditions that have to be satisfied by these quantities to define the Lorentz magnetic flux surfaces based on the inextensible Heisenberg antiferromagnetic flow model in Minkowski space. © 2021 Elsevier GmbH |
| Databáze: | OpenAIRE |
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