Research output: Contribution to Journal/Magazine › Letter › peer-review
Research output: Contribution to Journal/Magazine › Letter › peer-review
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TY - JOUR
T1 - Critical dynamics of a dilute central force network with partial bond bending forces
AU - HUGHES, G D
AU - LAMBERT, C J
AU - BURTON, D
PY - 1990/4/9
Y1 - 1990/4/9
N2 - 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.
AB - 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.
U2 - 10.1088/0953-8984/2/14/024
DO - 10.1088/0953-8984/2/14/024
M3 - Letter
VL - 2
SP - 3399
EP - 3403
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
SN - 0953-8984
IS - 14
ER -