On the statistical properties of the two-dimensional random voronoi network
- 1 November 1992
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine Letters
- Vol. 66 (5) , 219-224
- https://doi.org/10.1080/09500839208219037
Abstract
Probabilistic arguments concerning the statistical distributions of cell shape and area in the random Voronoi network are presented. By assuming only Euler's topological rule for such networks, which is exact for very large systems, a form of Lewis's law is derived together with analytical expressions for the statistical distribution functions. These results are compared with computer simulations of the network and reasonable agreement is found.Keywords
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