International Journal on Applied Physics and Engineering
Print ISSN: , E-ISSN: 2945-0489
Volume 2, 2023
Stability Analysis of a Compressible Plasma
Author: Pardeep Kumar
Abstract: In the presence of a uniform horizontal magnetic field, thermal instability of a compressible
plasma is postulated to occur in the presence of effects of finite Larmor radius (FLR) and Hall
currents. The dispersion relation is found by using the linear stability theory, Boussinesq
approximation and the normal mode analysis approach, respectively. In the scenario of stationary
convection, it was discovered that the compressibility has a stabilizing effect whereas FLR and Hall
currents have stabilizing as well as destabilizing effects. For $$(C_{p}β/g)<1$$, the system is stable. The
magnetic field, FLR and Hall currents introduce oscillatory modes in the system for $$(C_{p}β/g)>1$$. In
addition to this, it has been discovered that the system is reliable for $$\frac{\text 1}{\text G-1}\frac{\text C_{p}ακ}{\text ν}\leq\frac{\text 27π^{4}}{\text 4}$$ andunder the
condition $$\frac{\text 1}{\text G-1}\frac{\text C_{p}ακ}{\text ν}>\frac{\text 27π^{4}}{\text 4}$$ the system goes into an unstable state.
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Keywords: Finite Larmor radius, Hall currents, compressibility, thermal instability, plasma
Pages: 164-176
DOI: 10.37394/232030.2023.2.16
International Journal on Applied Physics and Engineering, ISSN / E-ISSN: / 2945-0489, Volume 2, 2023, Art. #16