Nonuniversality of elastic exponents in random bond-bending networks

2003/04/30 by D. A. Head, David Head, F. C. MacKintosh +2 · 5 citations
Biochemistry, Genetics and Molecular Biology · Physics and Astronomy · #Advanced Fluorescence Microscopy Techniques #Cellular Mechanics and Interactions #Force Microscopy Techniques and Applications #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.68.025101

published as Phys. Rev. E 68, 025101(R) (2003) · 4 pages, 3 figures, minor clarifications and amendments. To appear in PRE Rap. Comm

arxiv created 2003/07/01 · openalex publication_date 2003/08/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We numerically investigate the rigidity percolation transition in two-dimensional flexible, random rod networks with freely rotating cross links. Near the transition, networks are dominated by bending modes and the elastic modulii vanish with an exponent f=3.0+/-0.2, in contrast with central force percolation which shares the same geometric exponents. This indicates that universality for geometric quantities does not imply universality for elastic ones. The implications of this result for actin-fiber networks is discussed.

Citations

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