Fluctuating hydrodynamics and the thermodynamics of self-gravitating systems

Details Fluctuating hydrodynamics and the thermodynamics of self-gravitating systems Fluctuating hydrodynamics and the thermodynamics of self-gravitating systems

Jul 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978mnras.184...25m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, vol. 184, July 1978, p. 25-32.

Statistics

Computation

4

Gas Dynamics, Magnetohydrodynamics, Stellar Gravitation, Stellar Models, Thermodynamic Equilibrium, Fokker-Planck Equation, Gas Temperature, Mathematical Models, Steady State, Stellar Systems

Scientific paper

A description of fluctuations based on local thermodynamic concepts is presented and applied to a self-gravitating gas in the adiabatic approximation with reference to the correlation functions for the density and velocity. It is shown that the density fluctuations become large before the growth predicted by ordinary stability theory. When fluctuations are taken into account, i.e., dissipation and the collision term, Landau damping or its gravitational analog results. Applications of the method include the computation of fluctuations in isothermal or nearly isothermal stellar systems.

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