STRUCTURAL-PROPERTIES OF DISORDERED FIBER NETWORKS

We study the growth, percolation, and correlations in models of disord ered fibre networks. We introduce a 2D deposition model with a paramet er p which controls the degree of fibre clustering. For p=1, the depos ited fibre network is uniformly random, while for p=0 only a single co nnected cluster grows. For p=0, we examine the growth law for the aver age size of the cluster as well as its mass density profile. For p>0. we examine the dependence of the percolation threshold on p numericall y, and derive a mean-field expression for it near p=0 and p=1. Fibre n etworks produced by our model are shown to display nontrivial density correlations. These results are discussed in the contest of experiment al density correlations of paper sheets.