Generic rigidity percolation: The pebble game

D. J. Jacobs, M. F. Thorpe

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Abstract

The percolation of rigidity in 2D central-force networks with no special symmetries (generic networks) has been studied using a new combinatorial algorithm. We count the exact number of floppy modes, uniquely decompose the network into rigid clusters, and determine all overconstrained regions. With this information we have found that, for the generic triangular lattice with random bond dilution, the transition from rigid to floppy occurs at pcen=0.66020.0003 and the critical exponents include =1.210.06 and =0.180.02.

Original languageEnglish (US)
Pages (from-to)4051-4054
Number of pages4
JournalPhysical Review Letters
Volume75
Issue number22
DOIs
StatePublished - Jan 1 1995

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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