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Critical dynamics of a dilute central force network with partial bond bending forces

Research output: Contribution to journalLetter

Published

Journal publication date9/04/1990
JournalJournal of Physics: Condensed Matter
Journal number14
Volume2
Number of pages5
Pages3399-3403
Original languageEnglish

Abstract

Numerical results are presented for the dynamical properties of a dilute, central force, triangular network with 60 degrees bond bending forces. The rigidity percolation threshold PR for such a network lies between the connectivity percolation threshold and the central force rigidity percolation threshold. A LU factorisation technique is used to determine the eigenvalues of the dynamical matrix and the results combined with finite size scaling to yield values for PR and the fracton dimensionality d of 0.40<or=PR<or=0.405 and 1.25<or=d<or=1.3.