Entropy and angular momentum transport in spiral density waves

Astronomy and Astrophysics – Astrophysics

Scientific paper

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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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