Critical dynamics of a dilute central force network with partial bond bending forces
- 9 April 1990
- journal article
- letter
- Published by IOP Publishing in Journal of Physics: Condensed Matter
- Vol. 2 (14) , 3399-3403
- https://doi.org/10.1088/0953-8984/2/14/024
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 0.40R<or=0.405 and 1.25<or=d<or=1.3.Keywords
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