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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: Article
Journal or Publication Title: Journal of Physics: Condensed Matter
Subjects: UNSPECIFIED
Departments: Faculty of Science and Technology > Physics
ID Code: 49669
Deposited By: ep_importer_pure
Deposited On: 08 Sep 2011 14:57
Refereed?: Yes
Published?: Published
Last Modified: 17 Sep 2013 08:27
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/49669

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