Gravitational instability in a system of particles with mass spectrum

Astronomy and Astrophysics – Astronomy

Scientific paper

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Gravitation, Instabilities, Ism: Clouds, Galaxies: Ism, Galaxies: Spiral

Scientific paper

We investigate the conditions under which a self-gravitating system of particles of different masses may be gravitationally unstable if there is a systematic correlation between the random velocity of a particle and its mass. For an isotropic uniform medium without rotation but with mass spectrum and velocity depending on the particle mass, a situation arises where the Jeans length for such a system may be significantly smaller than for the case when some mean values are used instead of mass and velocity spectra. For a differentially rotating medium, representing a spiral galaxy, we obtain the analogue of the Toomre parameter for a heterogeneous (multi-component) system. We demonstrate that the gas system in spirals represented by an ensemble of giant molecular clouds may be considerably less stable in the case of random velocity-mass correlation than for a system with unique velocity dispersion.

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