Journal
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume 410, Issue 1, Pages 293-303Publisher
WILEY-BLACKWELL
DOI: 10.1111/j.1365-2966.2010.17442.x
Keywords
planets and satellites: formation; planet; disc interactions
Categories
Funding
- Higher Education Funding Council for England
- STFC
- Science and Technology Facilities Council [ST/F010516/1] Funding Source: researchfish
- STFC [ST/F010516/1] Funding Source: UKRI
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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.
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