Biquaternionic reformulation of multifluid plasma equations

Demir S., Tanisli M., Sahin N., Kansu M. E.

CHINESE JOURNAL OF PHYSICS, vol.55, no.4, pp.1329-1339, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 55 Issue: 4
  • Publication Date: 2017
  • Doi Number: 10.1016/j.cjph.2017.07.008
  • Journal Name: CHINESE JOURNAL OF PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1329-1339
  • Keywords: Biquaternion, Multifluid plasma, Maxwell equations, Matrices, HYPERBOLIC OCTONION FORMULATION, GENERALIZED ELECTROMAGNETIC-FIELDS, QUATERNIONIC REFORMULATION, GRAVITATIONAL-FIELD, MAXWELLS EQUATIONS, SPACETIME ALGEBRA, GRAVITO-DYONS, CLASSICAL ELECTRODYNAMICS, CHIRAL MEDIUM, MONOPOLES
  • Anadolu University Affiliated: Yes

Abstract

Extending the biquaternionic generalization of the Maxwell type equations of compressible fluids, an effort has been introduced for the reformulation of analogous multifluid plasma equations. With the help of an exact correlation between the equations of classical electrodynamics and multifluid plasma model, suitable and elegant biquaternionic expressions including corresponding matrix representations have been presented. The proposed model in this paper generalizes Maxwell type equations of multifluid plasma in a simple, compact and consistent manner. Finally, using the advantages of biquaternions, the wave equation for plasma is reformulated similarly to the compressible fluids. (C) 2017 The Physical Society of the Republic of China (Taiwan). Published by Elsevier B.V. All rights reserved.