Relaxation of multi-ion plasmas in an internal conductor

Abstract

The possibility of the formation and characteristics of the relaxed structures in the multi-ion magnetized plasmas consisting of heavy ions, light ions, and inertia-less electrons have been explored. Using the vortex dynamic equations with the current density, the system is relaxed to triple Beltrami states. Solutions of the relaxed states are determined in two different cases: (i) simple slab geometry and (ii) slab geometry with an internal conductor. The impact of Beltrami parameters and density ratios of the plasma components on the formation of equilibrium structures in both geometries has been studied. Moreover, we also highlight the equivalences of both geometries (simple slab geometry and a slab geometry with an internal conductor). This investigation will be useful for studying and understanding the relaxed structures in different astrophysical objects such as solar wind, Earth’s ionosphere, near-Earth plasmasheet, upper ionosphere, and Saturn and in the laboratory plasmas having two positively charged ions of different masses. Moreover, this work will be helpful in describing the underlying physics of the relaxed structures. These structures are developed in different astrophysical bodies that revolve around the planet such as Jupiter magnetosphere.

Self‐organization of earth's inner magnetospheric multi‐ion plasma

“…Consequently, when contemplating inertialess electrons in a multi‐ion plasma consisting of two positive ion species, a TB relaxed state is possible for distinct generalized helicities of the ion species. [ 39 ] In contrast, it is also possible to model a DB state for ion species with the same generalized helicities. [ 38 ] On the other hand, when the inertia of electron species is also taken into consideration, a TB state can be obtained by assuming that ion species have same generalized helicities, [ 40 ] whereas a QB state can be derived when all plasma species have distinct generalized helicities.…”

“…[ 38 ] Following that, a recent study conducted by Gondal came to the conclusion that the relaxed state for inertialess electrons with different Beltrami parameters of inertial ion species is the TB state. [ 39 ] In scenarios where all plasma species are considered inertial, the relaxed state is the TB state, provided that the Beltrami parameters for the ion species are assumed to be same. [ 40 ] In the most recent investigation by Ullah et al, it was found that the relaxed state is the QB state when all the plasma species are inertial and have different Beltrami parameters or generalized helicities.…”