In 2D simulations with beta-cooling, an accreting Jupiter-mass planet migrates outward when beta is small and inward when beta exceeds the local dynamical timescale.
A Jupiter-mass companion to a solar-type star
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Effects of Thermodynamics on the Concurrent Accretion and Migration of Gas Giants in Protoplanetary Disks
In 2D simulations with beta-cooling, an accreting Jupiter-mass planet migrates outward when beta is small and inward when beta exceeds the local dynamical timescale.