Oscillations and instabilities of a multicomponent gravitating medium

Details Oscillations and instabilities of a multicomponent gravitating medium Oscillations and instabilities of a multicomponent gravitating medium

Jul 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981zhetf..81...13p&link_type=abstract

Zhurnal Eksperimental'noi i Teoreticheskoi Fiziki, vol. 81, July 1981, p. 13-21. In Russian.

Computer Science

Sound

4

Gravitational Effects, Plasma Oscillations, Space Plasmas, Stellar Oscillations, Electrostatic Probes, Galactic Evolution, Heterogeneity, Jeans Theory, Lattice Vibrations

Scientific paper

It is shown that in an n-component homogeneous gravitating medium, there exists a new class of asynphasic oscillations (in addition to the synphasic sound /Jeans/ oscillations), which are related to the Langmuir plasma oscillations or optical oscillations of a crystal lattice. In contrast to sound branches, these remain oscillatory for arbitrarily large wavelengths; this fact changes the traditional concept of an inevitable gravitational condensation of all long-wave perturbations. Two theorems are formulated, concerning the instability of the heterogeneous gravitating medium: in the first, there are n-1 different asynphasic oscillation branches for the particular case of resting components; the Jeans instability can develop only on the synphasic branch. The second theorem is formulated for the general case of components moving with respect to each other; this theorem determines the number of beam instabilities as a function of the ratio between the stationary parameters of the components.

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