Solid bodies dynamics in accretion disks: numerical simulations as a tool to validate an analytical model

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

In accretion disks, solid bodies settle toward the equatorial plane because of gas drag. However, MHD turbulence, resulting from the magnetorotational instability, significantly affects this simple picture. Indeed, small particles, initially released close to the disk equatorial plane, quickly diffuse away from the equatorial plane because they are strongly coupled to the gas. An analytical model can be used to express the diffusion coefficient as a function of the velocity correlations. Large particles, on the other hand, are weakly coupled to the gas and form a thin layer whose thickness can be expressed as the solution of a Fokker-Planck equation. In both cases, 3D MHD numerical simulations can be used as a way to confirm and support the expressions derived from these analytical models.

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