Entropic elasticity of two-dimensional self-avoiding percolation systems

Oded Farago, Yacov Kantor

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

The sol-gel transition is studied on a purely entropic two-dimensional model system consisting of hard spheres (disks) in which a fraction p of neighbors are tethered by inextensible bonds. We use a new method to measure directly the elastic properties of the system. We find that over a broad range of hard sphere diameters a the rigidity threshold is insensitive to a and indistinguishable from the percolation threshold pc. Close to pc, the shear modulus behaves as (p − pc)f, where the exponent f ≃ 1.3 is independent ofa and is similar to the conductivity exponent in random resistor networks.

Original languageEnglish
Pages (from-to)2533-2536
Number of pages4
JournalPhysical Review Letters
Volume85
Issue number12
DOIs
StatePublished - 18 Sep 2000
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy (all)

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