EFFECTS OF DIFFUSION AND BACK-REACTION ON THE FORMATION OF A GAP IN THE DUST AROUND A PLANET EMBEDDED IN A CIRCUMSTELLAR DISK

The life of a disk that holds two Jupiter-like planets is usually marked by the appearance of a gap. Given the disk properties, the planetary pair will follow into an inward convergent orbit, and at some point, they will establish a resonance ratio between their orbital periods, then revert the direction of motion to an outward migration. A pressure maximum will be built at the outer edge of the common gap that, if it works efficiently, will block the dust from falling and being accreted by the star, providing a good environment for dust evolution. The dust gap will keep up increasing in size while the gaseous one will maintain shape, only shifting its position outwards. In this dissertation, we propose the execution of a two-dimensional, high-resolution hydrodynamical simulation that reproduces the circumstances described above. We apply the FARGO3D code with a multi-fluid implementation which introduces different populations of dust particle size along with the gas. Our aim is to include the effects of turbulent motion from the gas and the back-reaction of the dust on the gaseous component, in order to ascertain the impacts of both interactions on the gap formation. We found that this addition can affect the dust trap according to particle size (up to 1 mm), promoting a dust species filtration between the outer and inner disks. Nevertheless, it does not interfere significantly with the formation of the over-density.