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Sedenionic formulation for the field equations of multifluid plasma

Süleyman Demir

https://orcid.org/0000-0001-7218-7546

Department of Physics, Science Faculty, Eskişehir Technical University, 26470 Eskişehir, Turkey

E-mail Address: sudemir@eskisehir.edu.tr

Corresponding author.

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Damla Sümer

Institute of Graduate Programs, Eskişehir Technical University, 26555 Eskişehir, Turkey

E-mail Address: damlasumer@eskisehir.edu.tr

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, and

Murat Tanışlı

Department of Physics, Science Faculty, Eskişehir Technical University, 26470 Eskişehir, Turkey

E-mail Address: mtanisli@eskisehir.edu.tr

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https://doi.org/10.1142/S0219887821500407Cited by:5 (Source: Crossref)

Abstract

In this paper, the multifluid equations of a plasma are reformulated in terms of conic sedenions in order to better reflect the analogies between multifluid plasma equations and Maxwell equations of classical electromagnetism. This formalism also provides us an efficient mathematical tool for unification of equations of fluid dynamics and electromagnetism in a compact and elegant way. Although the presented formulation enables us to express all of the field equations related to different disciplines, a set of Maxwell equations for multifluid plasma is combined into a single sedenionic equation. Moreover, the wave equation with source terms is generalized in a form similar to gravi-electromagnetism counterpart previously derived using this type sedenion.

Keywords:

AMSC: 11A67, 76A02, 78A25

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