Structural properties of disordered fibre networks

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

Research output: Contribution to journalArticleScientificpeer-review

9 Citations (Scopus)

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 networks 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
Pages (from-to)304-313
JournalPhysica A: Statistical Mechanics and its Applications
Volume239
Issue number1-3
Publication statusPublished - 1997
MoE publication typeA1 Journal article-refereed

Keywords

  • disordered
  • fibre networks

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