Growth and Structure of Random Fibre Clusters and Cluster Networks
Condensed Matter
2009-10-28 v2
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.
Cite
@article{arxiv.cond-mat/9511043,
title = {Growth and Structure of Random Fibre Clusters and Cluster Networks},
author = {N. Provatas and T. Ala-Nissila and M. J. Alava},
journal= {arXiv preprint arXiv:cond-mat/9511043},
year = {2009}
}
Comments
3 pages, RevTex, 4 postscript figures (uuencoded and compressed), Misprints corrected (Eq.(3)) and a footnote added