Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...149..315k&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 149, no. 2, Aug. 1985, p. 315-320.
Astronomy and Astrophysics
Astrophysics
1
Angular Momentum, Density Wave Model, Entropy, Galactic Structure, Momentum Transfer, Stellar Systems, Galactic Evolution, Nonlinear Equations, Perturbation Theory, Plane Waves, Vlasov Equations
Scientific paper
The non-linear Vlasov equation is studied with respect to the transport of entropy and angular momentum in a stellar system under the influence of a spiral density wave. It is pointed out that the true (fine-grained) entropy is transported only by convection, while the time variation of the densities of angular momentum and a kind of coarse grained entropy are affected also by the wave-star interaction. An exact relation is derived giving the local exchange of angular momentum between the wave and the stars, once the disturbance is specified. For the selfconsistent problem, finally, a relation is given, which has to be satisfied, if one requires the system to be stationary, i.e. non-evolving.
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