Fractal properties of stellar systems and random forces
Astrophysics of Galaxies
2016-06-01 v1
Abstract
The nearest neighbor distribution (Chandrasekhar 1943) is generalized to fractal stellar systems.For such systems an asymptotic distribution of the magnitude of large random forces and a formula for the effective mean interparticle spacing are derived. It is shown that in the case of a power-law distribution of conditional density the derived asymptotic fully agrees with the results obtained in terms of a general approach. It is concluded that large random forces in a fractal stellar medium are due entirely to the nearest neighbors (clumps) located inside the sphere of the effective radius determined from the generalized Holtsmark distribution.
Keywords
Cite
@article{arxiv.1511.03818,
title = {Fractal properties of stellar systems and random forces},
author = {Oleg V. Chumak and Alexey S. Rastorguev},
journal= {arXiv preprint arXiv:1511.03818},
year = {2016}
}
Comments
10 pages, 2 figures