Gravitational Instability of the Isothermal Gas Cylinder with an Axial magnetic Field

Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

49

Scientific paper

The gravitational instability is investigated for an isothermal gas cylinder with a uniform axial magnetic field. We treat the eigenvalue problem for the linear perturbations and obtain the dispersion relation numerically. It is found that the self-gravitating isothermal cylinder is unstable for axisymmetric perturbations of wavelength lambda > lambda cr = 11.2H, where H is the radial scale height of gas distribution in the cylinder and that the fastest growing mode appears at the wavelength lambda m ~ 2lambda cr. For the cylinder with the radius larger than H, the magnetic field reduces the growth rate but does not change the range of wavelength for unstable ones. The stabilizing effect saturates when the magnetic energy becomes comparable to the thermal energy. On the other hand, when the cylinder has a finite radius smaller than H, the dispersion relation approximates to that of incompressible fluid. The magnetic field is so effective to prevent the instability that both the critical wavelength and the most unstable growing time become longer exponentially as the strength of magnetic field increases.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Gravitational Instability of the Isothermal Gas Cylinder with an Axial magnetic Field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gravitational Instability of the Isothermal Gas Cylinder with an Axial magnetic Field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitational Instability of the Isothermal Gas Cylinder with an Axial magnetic Field will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-1599266

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.