DISTRIBUTION FUNCTION FOR THE NTH-NEAREST-NEIGHBOR PARTICLE IN A RANDOM COLLECTION
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Hadad, C. Z., & Ferraro G, F. (2023). DISTRIBUTION FUNCTION FOR THE NTH-NEAREST-NEIGHBOR PARTICLE IN A RANDOM COLLECTION. Revista De La Academia Colombiana De Ciencias Exactas, Físicas Y Naturales, 32(122), 61–66. https://doi.org/10.18257/raccefyn.32(122).2008.2230

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Abstract

In order to find expressions or to find numerical values for sorne physical or physicochemical properties in systems in which particles are distributed totally at random (or that can be considered, in good approximation, as ifthey were) sometimes it is necessary to have distribution functions for the nth-nearest-neighbour particle around sorne generic one. To our knowledge, a general formula <loes not exist which allows obtain them. There are specific expressions reported for only the four first functions, a couple of which with sorne mistakes. In this paper such a general formula is derived, it is indicated how to use it, and the particular first five functions are listed, including their plots.

https://doi.org/10.18257/raccefyn.32(122).2008.2230

Keywords

radial distribution function | | nth-nearest-neighbour particle | random distribution
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References

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