Magnetic spherical indicatrix of a ruled surface

Yildirim A., Kasap E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.21, sa.3, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219887824500683
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Magnetic curve, magnetic flux surfaces, ruled surfaces
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The spherical indicatrix of a ruled surface is the image curve of its rulings on the sphere S-2. In this paper, we present Lorentz forces and magnetic curves produced by the Frenet frame {T-e, N-e, B-e} of the spherical indicatrix of a ruled surface in a magnetic field. We calculate magnetic vector fields of magnetic curves for T-e, N-e, B-e. Furthermore, we define magnetic flux surfaces constructed by magnetic vector fields along magnetic spherical indicatrix. We obtain developability conditions for these surfaces. Finally, we give some examples to show magnetic flux surfaces.