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

HUGHES, G D and LAMBERT, C J and BURTON, D (1990) Critical dynamics of a dilute central force network with partial bond bending forces. Journal of Physics: Condensed Matter, 2 (14). pp. 3399-3403. ISSN 0953-8984

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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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Physics: Condensed Matter
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
ID Code:
49669
Deposited By:
Deposited On:
08 Sep 2011 13:57
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 07:37