GROWTH AND STRUCTURE OF RANDOM FIBER CLUSTERS AND CLUSTER NETWORKS

We study the properties of 2D fibre clusters and networks formed by de position processes. We first examine the growth and scaling properties of single clusters. We then consider a network of such clusters, whos e spatial distribution obeys some effective pair distribution function . In particular, we derive an expression for the two-point density aut ocorrelation function of the network, which includes the internal stru cture of a cluster and the effective cluster-cluster pair distribution function. This formula can be applied to obtain information about non trivial correlations in fibre networks.