Modification of the Jeans and Toomre instability criteria for astrophysical fractal objects within nonextensive statistics
- Authors: Kolesnichenko A.V.1, Marov M.Y.1
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Affiliations:
- Keldysh Institute of Applied Mathematics
- Issue: Vol 50, No 4 (2016)
- Pages: 251-261
- Section: Article
- URL: https://journal-vniispk.ru/0038-0946/article/view/170467
- DOI: https://doi.org/10.1134/S0038094616040043
- ID: 170467
Cite item
Abstract
Within the formalism of Tsallis nonextensive statistics designed to describe the behavior of anomalous systems, systems with a strong gravitational interaction between their individual parts and the fractal nature of phase space, we have obtained linearized equations for the oscillations of a rigidly rotating disk by taking into account dissipative effects and give a derivation of the dispersion equation in the WKB approximation. Based on the previously derived modified Navier—Stokes hydrodynamic equations (the so-called equations of q-hydrodynamics), we have analyzed the axisymmetric oscillations of an astrophysical, differentially rotating gas—dust cosmic object and obtained modified Jeans and Toomre gravitational instability criteria for disks with a fractal phase-space structure.
About the authors
A. V. Kolesnichenko
Keldysh Institute of Applied Mathematics
Author for correspondence.
Email: al-vl-kolesn@yandex.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047
M. Ya. Marov
Keldysh Institute of Applied Mathematics
Email: al-vl-kolesn@yandex.ru
Russian Federation, Miusskaya pl. 4, Moscow, 125047
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