Abstract
The nearest neighbor distance distribution law is generalized to fractal stellar media. The asymptotics of the distribution law for the magnitude of a large random force has been derived for them. An expression for the effective mean interparticle distance in such a medium has been found. The derived asymptotics for a power-law change in conditional density is shown to coincide closely with the results obtained within the framework of a general approach. We conclude that the large random forces in a fractal stellar medium are entirely attributable to the nearest neighbors (clumps) located in a sphere with an effective radius determined from a generalized Holtsmark distribution.
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Original Russian Text cO.V. Chumak, A.S. Rastorguev, 2016, published in Pis’ma v Astronomicheskii Zhurnal, 2016, Vol. 42, No. 5, pp. 346–352.
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Chumak, O.V., Rastorguev, A.S. Fractal properties of stellar systems and random forces. Astron. Lett. 42, 307–313 (2016). https://doi.org/10.1134/S1063773716050029
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DOI: https://doi.org/10.1134/S1063773716050029