A three-fluid system of equations describing dusty magnetoplasmas with dynamically important dust and ion components

Abstract

In this work a closed set of differential equations is derived which allows for the description of multifluid plasmas consisting of electrons, ions, and electrically charged dust particles. An additional neutral gas component has been omitted here for clarity. The main feature of this set of equations is the consideration of the dynamics of an inert ion component as an improvement of recently published models, where only the dynamics of the heavy dust particles have been included. At the same time the assumption of quasineutrality becomes expendable and may be replaced by the full set of continuity equations. This new set of equations considerably expands the range of possible applications, especially in the field of astrophysical dusty plasmas. Moreover, the mass of the dust particles is no longer required to be large compared to the ion mass, thus also allowing for the modeling of plasmas consisting of two ion species. Following previously published methods, the set of equations may be solved numerically and can easily be extended to include more complicated features like nonlinear collision terms or the additional neutral gas component of these models.