Effect of Radiative Heat-Loss Function and Finite Larmor Radius Corrections on Jeans Instability of Viscous Thermally Conducting Self-Gravitating Astrophysical Plasma

Abstract

The effect of radiative heat-loss function and finite ion Larmor radius (FLR) corrections on the self-gravitational instability of infinite homogeneous viscous plasma has been investigated incorporating the effects of thermal conductivity and finite electrical resistivity for the formation of a star in astrophysical plasma. The general dispersion relation is derived using the normal mode analysis method with the help of relevant linearized perturbation equations of the problem. Furthermore the wave propagation along and perpendicular to the direction of external magnetic field has been discussed. Stability of the medium is discussed by applying Routh Hurwitz's criterion. We find that the presence of radiative heat-loss function and thermal conductivity modify the fundamental Jeans criterion of gravitational instability into radiative instability criterion. From the curves we see that temperature dependent heat-loss function, FLR corrections and viscosity have stabilizing effect, while density dependent heat-loss function has destabilizing effect on the growth rate of self-gravitational instability. Our result shows that the FLR corrections and radiative heat-loss functions affect the star formation.

Transverse Thermal Instability of Radiative Plasma with FLR Corrections for Star Formation in ISM

“…Along with this, in current days the significance of FLR in thermal instability and gravitational instability of plasma is important owing to its huge relevance in astrophysics. Many researchers (Jukes [27]; Roberts & Taylor [28]; Rosenbluth et al [29]; Singh & Hans [30]; Herrnegger [31]; Sharma [32]; Chhonkar & Bhatia [33]; Devlen & Pekunlu [34]; Kaothekar & Chhajlani [35]; Kaothekar et al [36]; Kaothekar [37]) have discussed the importance of FLR corrections in thermal instability with different parameters. More recently Kaothekar [38] has investigated the problem of Jeans instability of finitely conducting radiative rotating plasma with FLR corrections f lowing through porous medium.…”

Star formation through thermal instability of radiative plasma with finite electron inertia and finite Larmor radius corrections

“…Kaothekar and Chhajlani 15 have carried out the effect of radiative heat-loss function and finite Larmor radius corrections on Jeans instability of viscous thermally conducting self-gravitating astrophysical plasma. Recently Kaothekar and Chhajlani 16 have investigated the effect of FLR corrections on Jeans instability of radiative plasma. More recently Kaothekar et al 17 have carried out the problem of Jeans instability of partially-ionized self-gravitating viscous plasma with Hall effect FLR corrections and porosity.…”