Multifluid plasma equations in terms of hyperbolic octonions

DEMİR S., Zeren E.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.15, no.4, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 15 Issue: 4
  • Publication Date: 2018
  • Doi Number: 10.1142/s0219887818500536
  • Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Hyperbolic octonion, multifluid plasma, Maxwell equations, wave equations, GRAVITATIONAL-FIELD EQUATIONS, GENERALIZED ELECTROMAGNETIC-FIELDS, MAXWELLS EQUATIONS, QUATERNIONIC REFORMULATION, GRAVI-ELECTROMAGNETISM, CLASSICAL ELECTRODYNAMICS, SPACETIME ALGEBRA, CHIRAL MEDIUM, FORMULATION, DYONS
  • Anadolu University Affiliated: Yes

Abstract

Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of compressible fluids, an alternative reformulation has been proposed for the analogous multifluid plasma equations. In this paper, using both the fluid and electromagnetic behavior of the plasma, the compact and elegant expressions have been derived in terms of hyperbolic octonions as previously given for electromagnetic theory, linear gravity and fluid mechanics. Using the advantages of proposed model, the field equations of multifluid plasma have been combined in a single equation. Furthermore, the plasma wave equations in terms of generalized vorticity and Lamp vector have been expressed in a form similar to electromagnetic, gravitational counterparts previously given in relevant literature.