Gravitational instability of a quasi-homogeneous plasma cloud with radiation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitational Effects, Magnetohydrodynamic Stability, Plasma Clouds, Plasma-Electromagnetic Interaction, Radiation Pressure, Gas Pressure, Ionized Gases, Jeans Theory

Scientific paper

The present consideration of small, propagating perturbations in the central region of a gas cloud takes radiative pressure into account and derives an instability criterion analogous to that of Jeans (1902). The basic state is treated locally as quasi-homogeneous; the first derivatives of all basic state quantities can accordingly be neglected, in keeping with the Poisson's equation describing the gravitational potential in the basic state. It is established that the inhomogeneity can act either to stabilize or destabilize the system, depending on the value of the second derivative of the basic state temperature.

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