Magnetohydrodynamics in Presence of Electric and Magnetic charges

TL;DR

This paper extends magnetohydrodynamics to include particles with both electric and magnetic charges, revealing duality, new plasma frequencies, and conditions for wave propagation in dyonic plasma.

Contribution

It introduces a generalized MHD framework for dyons, deriving plasma frequencies, wave equations, and energy considerations, highlighting electromagnetic duality in plasma physics.

Findings

Dyonic plasma supports electromagnetic duality.

Distinct plasma frequencies for different species depending on wave number.

Only waves with frequency greater than plasma frequency can propagate.

Abstract

Starting with the generalized electromagnetic field equations of dyons, we have discussed the theory of magnetohydrodynamics (MHD) of plasma for particles carrying simultaneously the electric and magnetic charges (namely dyons). It is shown that the resultant system supports the electromagnetic duality of dyons. Consequently the frequency of dyonic plasma has been obtained and it is emphasized that there is a different plasma frequency for each species depending on wave number k. For k to be real, only those generalized electromagnetic waves are allowed to pass, for which the usual frequency is greater than the plasma frequency (i.e. \omega>\omega_{p}). It is shown that the plasma frequency sets the lower cuts for the frequencies of electromagnetic radiation that can pass through a plasma . Accordingly the ohm's law has been reestablished to derive the plasma oscillation equation as well as the magetohydrodynamic wave equation and the energy of dyons in unique and consistent manner.