Reformulation of Multifluid Plasma Equations in Terms of Spacetime Algebra

Abstract

Using the exact isomorphism between multifluid plasma theory and classical electromagnetism, we apply the theorems and techniques of spacetime algebra to the multifluid equations of a plasma in order to present a new formulation in a compact and elegant way. A set of Maxwell equations for a plasma is combined into a single equation similar to their counterparts in electromagnetism, linear gravitation and fluid mechanics. The presented formulation also proposes a useful method for the generalization of the plasma wave equation.