Global gravitational stability for one-dimensional polytropes

Computer Science – Sound

Scientific paper

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Gravitational Effects, Hydrostatics, Interstellar Gas, Molecular Clouds, Polytropic Processes, Static Stability, Astronomical Models, Degrees Of Freedom, Energy Transfer, Equations Of State, Equilibrium Equations, Gravitation Theory, Radial Distribution

Scientific paper

It is pointed out that the highly chaotic nonequilibrium thermodynamic processes which lead to the formation of an individual protostar from the general interstellar medium have to date only been crudely represented. The freefall time has been compared with the sound-crossing time, the radiative cooling time, or the collision time. Further insight, however, can be gained only if the competing processes are more realistically represented by global time-dependent equations. The reported study is concerned with a possible form for the global dynamical equations. A model is developed for a spherically symmetric gas cloud. The 'internally conserved' energy modes of the cloud are considered. The potential function obtained is differentiated to obtain parameters of stable equilibrium and marginally unstable states. It is demonstrated how a cloud may become 'pre-unstable' due to non-quasistatic compression. It is also shown that highly non-quasistatic compression would seem inevitable for most protostellar clouds.

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