Non-linear dynamics of the corotation torque

Details Non-linear dynamics of the corotation torque Non-linear dynamics of the corotation torque

Sep 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001mnras.326..833b&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Volume 326, Issue 3, pp. 833-851.

Astronomy and Astrophysics

Astronomy

30

Accretion, Accretion Discs, Hydrodynamics, Methods: Analytical

Scientific paper

The excitation of spiral waves by an external perturbation in a disc deposits angular momentum in the vicinity of the corotation resonance (the radius where the speed of a rotating pattern matches the local rotation rate). We use matched asymptotic expansions to derive a reduced model that captures non-linear dynamics of the resulting torque and fluid motions. The model is similar to that derived for forced Rossby wave critical layers in geophysical fluid dynamics. Using the model we explore the saturation of the corotation torque, which occurs when the background potential (specific) vorticity is redistributed by the disturbance. We also consider the effects of dissipation. If there is a radial transport of potential vorticity, the corotation torque does not saturate. The main application is to the creation, growth and migration of protoplanets within discs like the primordial solar nebula. The disturbance also nucleates vortices in the vicinity of corotation, which may spark further epochs of planet formation.

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