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Stability of Self‐Gravitating Magnetized Hall Plasma with Electrical and Thermal Conductivity through Porous Medium
Author(s) -
Chhajlani R. K.,
Parihar A. K.
Publication year - 1993
Publication title -
contributions to plasma physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.531
H-Index - 47
eISSN - 1521-3986
pISSN - 0863-1042
DOI - 10.1002/ctpp.2150330308
Subject(s) - instability , dispersion relation , thermal conductivity , physics , porous medium , magnetic field , plasma , mechanics , condensed matter physics , electrical resistivity and conductivity , hall effect , porosity , thermal hall effect , dispersion (optics) , materials science , thermodynamics , optics , composite material , quantum mechanics
The problem of stability of a self‐gravitating, infinite homogeneous gas in the presence of magnetic field is investigated. The medium is assumed electrically and thermally conducting. The effect of porosity, electrical conductivity, thermal conductivity and Hall current is investigated on the self‐gravitating plasma flowing through porous medium. The relevant linearized equations of the problem are stated and dispersion relation is obtained. The effect of Hall current on the condition of the instability of the system is examined for both longitudinal and transverse mode of propagation and found that in longitudinal propagation Hall effect does not change the condition of instability but modifies the Alfvén wave mode. The stability of the system is discussed by applying Routh‐Hurwitz criterion and it is found that Jeans criterion determines the stability of the system. Thermal conductivity and porosity have a destabilizing influence on the medium. The general condition for instability of the system is also derived.