Abstract
The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magnetohydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz, and CPT transformations.
Highlights
In the past few decades, astronomers predicted that the universe was composed almost entirely of the baryonic matter
In 1942, Alfven [3] gave the theory of magnetohydrodynamics (MHD) and suggested that electrically conducting fluid can support the propagation of shear waves called the Alfven waves
It has been emphasized that the dual hydrodynamics field of dyons deal with both electrohydrodynamic and magnetic-hydrodynamics
Summary
In the past few decades, astronomers predicted that the universe was composed almost entirely of the baryonic matter (ordinary matter). MHD describes the behavior of electrically conducting fluid in the presence of magnetic field [4]. Chanyal [30, 31] independently proposed a novel approach on the quaternionic covariant theory for relativistic quantum mechanics and established the quantized Dirac-Maxwell equations for dyons. Keeping in view the importance of quaternionic algebras, we establish the MHD field equations for dyonic cold plasma. We introduce the dual MHD equations of dyonic plasma consisted with electrons, magnetic monopoles, and their counter partners, namely, ions and magnetoions. We derive the generalized quaternionic Dirac-Maxwell equations to the case of dual magnetohydrodynamics of dyonic cold plasma. The Alfven wave like equation is established which may propagate from the flow of magnetic monopoles in the dyonic cold plasma
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