We study the growth, percolation, and correlations in models of disordered fibre networks. We introduce a 2D deposition model with a parameter p which controls the degree of fibre clustering. For p=1, the deposited fibre network is uniformly random, while for p=0 only a single connected cluster grows. For p=0, we examine the growth law for the average size of the cluster as well as its mass density profile. For p>0, we examine the dependence of the percolation threshold on p numerically, and derive a mean-field expression for it near p=0 and p=1. Fibre networks produced by our model are shown to display nontrivial density correlations. These results are discussed in the context of experimental density correlations of paper sheets.
|Original language||English (US)|
|Number of pages||10|
|Journal||Physica A: Statistical Mechanics and its Applications|
|State||Published - May 1 1997|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics