Abstract
The self-gravitational instability of an infinite homogeneous magnetised gas particle medium is considered including finite Larmor radius and Hall current effects in the presence if suspended particles. The effect of suspended particles is introduced in the momentum transfer equation as an extra-body force and it is assumed that self gravitational force of gas is important as compared to that of particles. The equations of the problem are linearized and from linearized equations a general dispersion relation for dusty gas is obtained. The dispersion relations are also obtained for propagation parallel and perpendicular to the direction of uniform magnetic field. The Jeans criterion is discussed for these two different directions of wave propagation. It is found that in the presence of Hall current, finite Larmor radius corrections and suspended particles, the condition of instability is determined by Jeans criterion for a self-gravitating, magnetized gas particle medium. The necessary condition of instability of the medium has also been derived.
Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
