Growth and Structure of Random Fibre Clusters and Cluster Networks

Details Growth and Structure of Random Fibre Clusters and Cluster Networks Growth and Structure of Random Fibre Clusters and Cluster Networks

1995-11-08

arxiv.org/abs/cond-mat/9511043v2

Phys. Rev. Lett. 75 (1995) 3556

Physics

Condensed Matter

3 pages, RevTex, 4 postscript figures (uuencoded and compressed), Misprints corrected (Eq.(3)) and a footnote added

Scientific paper

10.1103/PhysRevLett.75.3556

We study the properties of 2D fibre clusters and networks formed by deposition processes. We first examine the growth and scaling properties of single clusters. We then consider a network of such clusters, whose spatial distribution obeys some effective pair distribution function. In particular, we derive an expression for the two-point density autocorrelation function of the network, which includes the internal structure of a cluster and the effective cluster-cluster pair distribution function. This formula can be applied to obtain information about nontrivial correlations in fibre networks.

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