Информация о цитировании статьи получена из
Web of Science
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 1 апреля 2017 г.
Аннотация:Kinetic processes in fractal stellar media are analysed in terms of the approach developedin our earlier paper (Chumak & Rastorguev, 2015) involving a generalizationof the nearest neighbour and random force distributions to fractal media. Diffusionis investigated in the approximation of scale-dependent conditional density based onan analysis of the solutions of the corresponding Langevin equations. It is shown thatkinetic parameters (time scales, coefficients of dynamic friction, diffusion, etc.) forfractal stellar media can differ significantly both qualitatively and quantitatively fromthe corresponding parameters for a quasi-uniform random media with limited fluctuations.The most important difference is that in the fractal case kinetic parametersdepend on spatial scale length and fractal dimension of the medium studied. A generalizedkinetic equation for stellar media (fundamental equation of stellar dynamics) isderived in the Fokker-Planck approximation with the allowance for the fractal propertiesof the spatial stellar density distribution. Also derived are its limit forms that canbe used to describe small departures of fractal gravitating medium from equilibrium.