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

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Critical dynamics of a dilute central force network with partial bond bending forces. / HUGHES, G D ; LAMBERT, C J ; BURTON, D .
In: Journal of Physics: Condensed Matter, Vol. 2, No. 14, 09.04.1990, p. 3399-3403.

Research output: Contribution to Journal/MagazineLetterpeer-review

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HUGHES GD, LAMBERT CJ, BURTON D. Critical dynamics of a dilute central force network with partial bond bending forces. Journal of Physics: Condensed Matter. 1990 Apr 9;2(14):3399-3403. doi: 10.1088/0953-8984/2/14/024

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HUGHES, G D ; LAMBERT, C J ; BURTON, D . / Critical dynamics of a dilute central force network with partial bond bending forces. In: Journal of Physics: Condensed Matter. 1990 ; Vol. 2, No. 14. pp. 3399-3403.

Bibtex

@article{882a46698f3e4415863b811a549113b2,
title = "Critical dynamics of a dilute central force network with partial bond bending forces",
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.",
author = "HUGHES, {G D} and LAMBERT, {C J} and D BURTON",
year = "1990",
month = apr,
day = "9",
doi = "10.1088/0953-8984/2/14/024",
language = "English",
volume = "2",
pages = "3399--3403",
journal = "Journal of Physics: Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd",
number = "14",

}

RIS

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 -