Fractional solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction
Document title: Fractional solutions for the inextensible Heisenberg antiferromagnetic flow and solitonic magnetic flux surfaces in the binormal direction
Journal: Revista mexicana de física
Database: PERIÓDICA
System number: 000447174
ISSN: 0035-001X
Authors: 1
1
2
3
Institutions: 1Mus Alparslan University, Department of Mathematics, Mus. Turquía
2Mus Alparslan University, Department of Administration, Mus. Turquía
3Firat University, Department of Mathematics, Elazig. Turquía
Year:
Season: May-Jun
Volumen: 67
Number: 3
Pages: 452-464
Country: México
Language: Inglés
Document type: Artículo
Approach: Analítico, teórico
English abstract Maxwellian electromagnetism describes the wave features of the light and related subjects. Its original formulation was established 150 years ago. One of the four Maxwell’s equations is Gauss’s law, which states significant facts regarding magnetic flux through surfaces. It was also observed that optical media provided surface electromagnetism around 60 years ago. This observation leads to improve new techniques on nano-photonics, metamaterials, and plasmonics. The goal of this manuscript is to suggest novel accurate and local conditions for defining magnetic flux surfaces for the inextensible Heisenberg antiferromagnetic flow in the binormal direction. The theoretical accuracy of the methodology is verified through the evolution of magnetic vector fields and the anti-symmetric Lorentz force field operator. On the other hand, the numerical accuracy and efficiency are developed in detail by considering the conformable fractional derivative method when these fields are transformed under the traveling wave hypothesis
Disciplines: Física y astronomía
Keyword: Electromagnetismo,
Líneas de campo magnético,
Superficie de flujo magnético,
Fase geométrica,
Flujo antiferromagnético Heisenberg,
Fuerza de Lorentz
Keyword: Electromagnetism,
Magnetic field lines,
Magnetic flux surface,
Geometric phase,
Heisenberg antiferromagnetic flow,
Lorentz force
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