Astrophysics and Space Science

, Volume 191, Issue 1, pp 89–100 | Cite as

Instability of a gravitating partially-ionized plasma

  • Ahsan Ali
  • P. K. Bhatia


The effect of Hall currents and collision with neutrals on the instability of a horizontal layer of a self-gravitating partially-ionized plasma of varying density have been studied. It is assumed that the plasma is permeated by a variable horizontal magnetic field stratified vertically. A variational principle is shown to characterize the problem. By making use of the existence of the variational principle, proper solutions have been obtained for a semi-infinite plasma in which density has a one-dimensional (exponential) vertical stratification. The dispersion relation has been derived and solved numerically. It is found that the collisions with neutrals have a stabilizing influence while Hall currents have a destabilizing influence.


Magnetic Field Stratification Dispersion Relation Variational Principle Horizontal Layer 


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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Ahsan Ali
    • 1
  • P. K. Bhatia
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of JodhpurIndia

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