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arXiv · 1511.03818

Fractal properties of stellar systems and random forces

Oleg V. Chumak·Alexey S. Rastorguev
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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.

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Oleg V. Chumak, Alexey S. Rastorguev. 2015-11-12. Fractal properties of stellar systems and random forces. https://doi.org/10.1134/s1063773716050029

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