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Explorations into the mean nearest-neighbor distance in uniform and unimodal random distributions

The two-dimensional mean nearest neighbor distance and other distance distribution metrics, in uniform and unimodal normal distributions of random sequential addition hard disc computer-generated patterns, have been studied. First, more instances have been recorded in sufficient number to provide fo...

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Bibliographic Details
Published in:Materials today communications 2022-06, Vol.31, p.103637, Article 103637
Main Authors: Everett, R.K., Zupan, M.
Format: Article
Language:English
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Summary:The two-dimensional mean nearest neighbor distance and other distance distribution metrics, in uniform and unimodal normal distributions of random sequential addition hard disc computer-generated patterns, have been studied. First, more instances have been recorded in sufficient number to provide for more averaging and higher resolution data. Second, a facile, surprisingly accurate, method for estimating mean nearest neighbor distance in 2D uniform random distributions is presented. Third, the change in mean nearest neighbor distance as a function of the area fraction and standard deviation of the normal distribution of the disc diameter is discussed. It has been found that, while the changes are small (on the order of a few percent) both positive and negative deviations are observed. Consequences for higher dimension problems and multi-modal distributions are discussed. [Display omitted] •Accurate mean nearest-neighbor distance and other distance distribution metrics.•Skew normal distribution fits to nearest neighbor distances.•Stochastic Tiling model estimates normalized mean nearest-neighbor distance.•Positive and negative deviations in the means with diameter standard deviation.
ISSN:2352-4928
2352-4928
DOI:10.1016/j.mtcomm.2022.103637