Energy transfer in gravitating systems

Details Energy transfer in gravitating systems Energy transfer in gravitating systems

Mar 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979apj...228..543d&link_type=abstract

Astrophysical Journal, Part 1, vol. 228, Mar. 1, 1979, p. 543-554.

Astronomy and Astrophysics

Astrophysics

5

Astrodynamics, Energy Transfer, Fokker-Planck Equation, Gravitational Collapse, Stellar Gravitation, Diffusion Coefficient, Particle Diffusion, Random Walk, Stellar Models, Stellar Structure

Scientific paper

Mechanisms of energy transfer between a hot core of heavy field particles and a cooler envelope of light test particles in a spherical self-gravitating system are investigated in some detail. The method utilizes a time integration of the Fokker-Planck equation in energy space. The calculation is simplified by approximating the gravitational potential as that derived from two concentric homogeneous mass distributions, whereby analytic expressions may be obtained for the orbit-averaged diffusion coefficients. Diagnostics include (1) a division of the distribution function into particles totally 'confined' within the heavy particle core and particles not so confined, and (2) a clear distinction between secular and random-walk effects. The calculated net energy transfer rate is in reasonable agreement with the simple equipartition formula, although the former is dominated by the small fraction of highly bound confined light particles.

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