Planar random networks with flexible fibers

Details Planar random networks with flexible fibers Planar random networks with flexible fibers

1994-05-09

arxiv.org/abs/cond-mat/9405021v1

Physics

Condensed Matter

13 pages plain LaTex, 5 figures faxed upon request

Scientific paper

10.1103/PhysRevLett.73.3475

The transition in random fiber networks from two-dimensional to three-dimensional planar structure driven by increasing coverage (total fiber length per unit area) is studied with a deposition model. At low coverage the network geometry depends on the scale-free product of fiber length and coverage while at high coverage it depends on a scale-free combination of flexibility, width and thickness of the fibers. With increasing coverage the roughness of the free surface decouples from the substrate, faster when fibers are stiffer. In the high coverage region roughness decreases exponentially with increasing fiber flexibility.

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