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J. Schmidt (University of Potsdam, Germany), H. Salo (University of Oulu, Finland), F. Spahn, O. Petzschmann (University of Potsdam, Germany)
We investigate the viscous overstability in the hydrodynamical approximation of a thin, dense, and self gravitating planetary ring. We generalize existing models in two ways. First, in addition to the balance equations for mass and momentum we take into account the balance law for the energy of the random motion, i.e. we allow for a thermal mode in a stability analysis of the stationary state. Second, we incorporate the effects of nonlocal transport of momentum and heat, and include the nonlocal pressure in the stress tensor. We compare the growth rates of harmonic perturbations of the linearized balance equations to growth rates obtained from event driven, local N-body simulations.
The author(s) of this abstract have provided an email address for comments about the abstract: jschmidt@agnld.uni-potsdam.de