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KIAM Preprint № 78, Moscow, 2016
Authors: Kolesnichenko A. V.
On the definition of the power-law of particle distribution and of the criterion of thermal stability for self-gravitating astrophysical systems within the limits of non-extensive kinetics
Abstract:
We propose a procedure of introduction of the newtonian potential of self-gravitation and the centrifugal potential in quasi-equilibrium of particle distribution in the phase space, received within the non-extensive statistics on the basis of the modified kinetic equation of Boltzmann when averaged on non-normalized distribution. It is shown that if power distribution satisfies to the kinetic stationary equation this the latter imposes clearly defined restrictions on the character of a long-range force field, and on possible dependence of hydrodynamic parameters on coordinates, thereby defining these parameters uniquely. The thermodynamic stability criterion of equilibrium of a non-extensive system is given. The obtained results allow to model more adequately the evolution of gaseous astrophysical systems, and, in particular, the gravitational stability of twirled protoplanetary accretion disks.
Keywords:
nonextensive statistics, Tsallis entropy, self-gravitating system, q-kinetic theory, power-law distribution
Publication language: russian,  pages: 39
Research direction:
Mathematical modelling in actual problems of science and technics
Russian source text:
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About authors:
  • Kolesnichenko Aleksandr Vladimirovich,  orcid.org/0000-0003-1416-5634KIAM RAS