Growth and Structure of Random Fibre Clusters and Cluster Networks
arXiv:cond-mat/9511043 · doi:10.1103/PhysRevLett.75.3556
Abstract
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.
3 pages, RevTex, 4 postscript figures (uuencoded and compressed), Misprints corrected (Eq.(3)) and a footnote added