Growth, percolation, and correlations in disordered fiber networks
- Univ. of Helsinki (Finland)
- Univ. of Jyvaeskylae (Finland); and others
This paper studies growth, percolation, and correlations in disordered fiber networks. The authors start by introducing a 2D continuum deposition model with effective fiber-fiber interactions represented by a parameter p which controls the degree of clustering. For p=1 the deposited network is uniformly random, while for p=0 only a single connected cluster can grow. for p=0 they first derive the growth law for the average size of the cluster as well as a formula for its mass density profile. For p > 0 the authors carry out extensive simulations on fibers, and also needles and disks, to study the dependence of the percolation threshold on p. They also derive a mean-field theory for the threshold near p=0 and p=1 and find good qualitative agreement with the simulations. The fiber networks produced by the model display nontrivial density correlations for p<1. The authors study these by deriving an approximate expression for the pair distribution function of the model that reduces to the exactly known case of a uniformly random network. They also show that the two-point mass density correlation function of the model has a nontrivial form, and discuss their results in view of recent experimental data on mass density correlations in paper sheets.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 539906
- Journal Information:
- Journal of Statistical Physics, Vol. 87, Issue 1-2; Other Information: PBD: Apr 1997
- Country of Publication:
- United States
- Language:
- English
Similar Records
Superconductivity of networks. A percolation approach to the effects of disorder
Percolation thresholds in granular films: non-universality and critical current