Modification in the framework of non-additive Tsallis statistics of the gravitational instability criterions of astrophysical disks (Q2821494)

Dynamical properties of gas-particles accretion proto-planetary astrophysical rotating discs such as dissipative processes, gravitational stability/instability play a key role in cosmology and other sciences related with investigation of history of the universe formation. There were lots and lots methods, approaches, formulations etc. proposed and applied for investigation of properties of astrophysical discs. Here, contrary to some classical methods with criteria of a gravitational discs instability on the base of traditional kinetics and hydrodynamics a set of non-cohesive gas particles clusters is proposed. Clusters are considered as a special type of continuum medium-fractal medium in phase space of velocities of which there are points and domains without components for modeling dynamics of gravitational discs.