Clusters of atoms coupled by long range interactions
- 1 January 1974
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 35 (5), 393-399
- https://doi.org/10.1051/jphys:01974003505039300
Abstract
We present a study on cluster size distribution for atoms randomly distributed in a three-dimensional continuous medium. Statistical results are obtained by a Monte Carlo method. r0 being the range of interaction, it is found that the infinite cluster appears when the mean number of atoms, W, in a sphere of radius r0 reaches a value slightly higher than 2.6. Besides this, the statistical results are compared to the results deduced from branching process models : some essential features are then outlined and an approximate expression is proposed for the number of atoms belonging to clusters of small sizes, for a large range of concentrationKeywords
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