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.
Highlights
The problem of self-gravitational instability is widely investigated due to its relevance to the fragmentation of interstellar medium and its role in star formation
We have dealt with the self-gravitation instability of an infinite homogeneous viscous electrically and thermally conducting fluid including the effects of finite ion Larmor radius (FLR) corrections and radiative heat-loss function for star formation
We find that Jeans criterion remains valid and gets modified because of FLR corrections, radiative heat-loss function, thermal conductivity, and magnetic field
Summary
The problem of self-gravitational instability is widely investigated due to its relevance to the fragmentation of interstellar medium and its role in star formation. Several authors (Pacholczyk and Stodolkiewicz [6], Nayyar [7], and Shaikh et al [8]) have investigated the problem of gravitational instability of plasma with different physical parameters such as viscosity, finite electrical conductivity, Hall current, thermal conductivity, magnetic field, and rotation. Shaikh et al [32] have investigated the Jeans gravitational instability of thermally conducting plasma in a variable magnetic field with Hall current, finite conductivity, and viscosity, but they neglect the effect of FLR corrections and radiative heat-loss function on gravitational instability. In the present work self-gravitational instability of magnetized plasma with FLR corrections, radiative heat-loss function, viscosity, thermal conductivity, and finite electrical resistivity for self-gravitating configuration is studied. We wish to explore the importance of viscous and nonviscous system and its impact on the self-gravitational instability of plasma in connection with FLR correction, radiative heat-loss function, thermal conductivity, and finite electrical resistivity. The above work is applicable to formation of stars in astrophysical plasma
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
