NDLI: Power distributions for self-gravitating astrophysical systems based on nonextensive Tsallis kinetics

Content Provider	Springer Nature Link
Author	Kolesnichenko, A. V.
Copyright Year	2017
Abstract	The long-time development of self-gravitating gaseous astrophysical systems (in particular, the evolution of the protoplanet accretion disk) is mainly determined by relatively fast processes of the collision relaxation of particles. However, slower dynamical processes related to force (Newton or Coulomb) interactions between particles should be included (as q-collisions) in the nonextensive kinetic theory as well. In the present paper, we propose a procedure to include the Newton self-gravity potential and the centrifugal potential in the near-equilibrium power-like q-distribution in the phase space, obtained (in the framework of nonextensive statistics) by means of the modified Boltzmann equation averaged with respect to an unnormalized distribution. We show that if the power distribution satisfies the stationary q-kinetic equation, then the said equation imposes clear restrictions on the character of the long-term force field and on the possible dependence of hydrodynamic parameters of the coordinates: it determines those parameters uniquely. We provide a thermodynamic stability criterion for the equilibrium of the nonextensive system. The results allow us to simulate the evolution of gaseous astrophysical systems (in particular, the gravitational stability of rotating protoplanet accretion disks) more adequately.
Starting Page	127
Ending Page	144
Page Count	18
File Format	PDF
ISSN	00380946
Journal	Solar System Research
Volume Number	51
Issue Number	2
e-ISSN	16083423
Language	English
Publisher	Pleiades Publishing
Publisher Date	2017-03-25
Publisher Place	Moscow
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonextensive statistics Tsallis entropy q-kinetic theory power distribution self-gravitating systems Astronomy, Astrophysics and Cosmology Planetology Astronomy, Observations and Techniques Astrophysics and Astroparticles
Content Type	Text
Resource Type	Article
Subject	Astronomy and Astrophysics Space and Planetary Science

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