Structural properties of disordered fibre networks

N. Provatas, M. Haataja, E. Seppälä, S. Majaniemi, M. Alava, T. Ala-Nissila

Research output: Contribution to journalArticle

9 Scopus citations

Abstract

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 languageEnglish (US)
Pages (from-to)304-313
Number of pages10
JournalPhysica A: Statistical Mechanics and its Applications
Volume239
Issue number1-3
DOIs
StatePublished - May 1 1997
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Condensed Matter Physics

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