Journal Article

A torque formula for non-isothermal Type I planetary migration – II. Effects of diffusion

S.-J. Paardekooper, C. Baruteau and W. Kley

in Monthly Notices of the Royal Astronomical Society

Published on behalf of The Royal Astronomical Society

Volume 410, issue 1, pages 293-303
Published in print January 2011 | ISSN: 0035-8711
Published online December 2010 | e-ISSN: 1365-2966 | DOI: http://dx.doi.org/10.1111/j.1365-2966.2010.17442.x
A torque formula for non-isothermal Type I planetary migration – II. Effects of diffusion

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We study the effects of diffusion on the non-linear corotation torque, or horseshoe drag, in the two-dimensional limit, focusing on low-mass planets for which the width of the horseshoe region is much smaller than the scaleheight of the disc. In the absence of diffusion, the non-linear corotation torque saturates, leaving only the Lindblad torque. Diffusion of heat and momentum can act to sustain the corotation torque. In the limit of very strong diffusion, the linear corotation torque is recovered. For the case of thermal diffusion, this limit corresponds to having a locally isothermal equation of state. We present some simple models that are able to capture the dependence of the torque on diffusive processes to within 20 per cent of the numerical simulations.

Keywords: planets and satellites: formation; planet; disc interactions

Journal Article.  7478 words.  Illustrated.

Subjects: Astronomy and Astrophysics

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