Quaternionic approach on the Dirac–Maxwell, Bernoulli and Navier–Stokes equations for dyonic fluid plasma

BC Chanyal - International Journal of Modern Physics A, 2019 - World Scientific
By applying the Hamilton's quaternion algebra, we propose the generalized electromagnetic-
fluid dynamics of dyons governed by the combination of the Dirac–Maxwell, Bernoulli and …

A new development in quantum field equations of dyons

BC Chanyal - Canadian Journal of Physics, 2018 - cdnsciencepub.com
In this study, we describe a novel approach to quantum phenomena of the generalized
electromagnetic fields of dyons with quaternionic analysis. Starting with quaternionic …

Quaternionic approach to dual magnetohydrodynamics of dyonic cold plasma

BC Chanyal, M Pathak - Advances in High Energy Physics, 2018 - Wiley Online Library
The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics
equations along with the transport equations in the presence of electrons and magnetic …

Multifluid plasma equations in terms of hyperbolic octonions

S Demir, E Zeren - International Journal of Geometric Methods in …, 2018 - World Scientific
Stimulating from the hyperbolic octonionic generalization of the Maxwell-type equations of
compressible fluids, an alternative reformulation has been proposed for the analogous …

Quaternionic comparisons of electromagnetism using Lorentz transformations

ME Kansu, M Tanışlı, S Demir - The European Physical Journal Plus, 2020 - Springer
In this paper, by defining properties of the real and complex quaternion algebras, the
electromagnetic field equations including monopoles have been studied in\(\hbox {S}'\) …

Self-consistent hydrodynamic model of electron vortex fluid in solids

VL Mironov - Fluids, 2022 - mdpi.com
We propose a system of self-consistent equations for electron fluid in solids which describes
both longitudinal vortex flows and frozen-in internal electromagnetic fields. It is shown that in …

Sedeonic equations in field theory

VL Mironov, SV Mironov - Advances in Applied Clifford Algebras, 2020 - Springer
We consider the factorization of differential operator of Klein–Gordon equation on the base
of space-time algebra of sixteen-component sedeons. It is shown that generalized sedeonic …

Quaternionic representation of electromagnetism for material media

ME Kansu - International Journal of Geometric Methods in Modern …, 2019 - World Scientific
In this study, the electromagnetic fields are developed in the presence of both the electric
and magnetic induction fields by quaternion algebra. In this sense, the polarization and …

Generalization of compressible fluid equations in terms of complexified octonions

S Demir, M Tanışlı, ME Kansu - International Journal of Geometric …, 2023 - World Scientific
Using the attractive properties of octonion algebra, an alternative formulation has been
proposed for the Maxwell-type equations of compressible fluids. Although the origins of …

Self-consistent hydrodynamic two-fluid model of vortex plasma

VL Mironov - Physics of Fluids, 2021 - pubs.aip.org
We propose the system of self-consistent equations for vortex plasma in the framework of
hydrodynamic two-fluid model. These equations describe both longitudinal flows and the …