Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published

In: Japanese Journal of Applied Physics, Vol. 26, No. Supplement, 1987, p. 1351-1352.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Burton, D & Lambert, C 1987, 'Dynamical properties of superelastic percolating systems', *Japanese Journal of Applied Physics*, vol. 26, no. Supplement, pp. 1351-1352. <http://jjap.jsap.jp/link?JJAPS/26S3/1351>

Burton, D., & Lambert, C. (1987). Dynamical properties of superelastic percolating systems. *Japanese Journal of Applied Physics*, *26*(Supplement), 1351-1352. http://jjap.jsap.jp/link?JJAPS/26S3/1351

Burton D, Lambert C. Dynamical properties of superelastic percolating systems. Japanese Journal of Applied Physics. 1987;26(Supplement):1351-1352.

@article{5f73f0d942d543d09cbaf81b07a77c75,

title = "Dynamical properties of superelastic percolating systems",

abstract = "A natural extension of scalar percolation models of, for example granular superconductors, are superelastic vector models in which nearest neighbour sites with more than one degree of freedom are coupled by infinitely strong central force bonds with probability P and unit strength bonds with probability (1-P). We present results for the density of vibrational states of such a system, obtained from a numerical simulation of a two dimensional triangular network. As the superelastic rigidity percolation threshold is approached from below, the density of states becomes fracton-like and is characterized by a spectral dimensionality \tilded which is greater than the Euclidean dimension of d=2. This behaviour is explained using single parameter scaling, which predicts a value for \tilded slightly greater than our numerical result of \tilded=2.9. No sharp features in the density of states at phonon-fracton cross-over are observed. ",

author = "D Burton and Colin Lambert",

year = "1987",

language = "English",

volume = "26",

pages = "1351--1352",

journal = "Japanese Journal of Applied Physics",

issn = "0021-4922",

publisher = "Institute of Physics Publishing",

number = "Supplement",

}

TY - JOUR

T1 - Dynamical properties of superelastic percolating systems

AU - Burton, D

AU - Lambert, Colin

PY - 1987

Y1 - 1987

N2 - A natural extension of scalar percolation models of, for example granular superconductors, are superelastic vector models in which nearest neighbour sites with more than one degree of freedom are coupled by infinitely strong central force bonds with probability P and unit strength bonds with probability (1-P). We present results for the density of vibrational states of such a system, obtained from a numerical simulation of a two dimensional triangular network. As the superelastic rigidity percolation threshold is approached from below, the density of states becomes fracton-like and is characterized by a spectral dimensionality \tilded which is greater than the Euclidean dimension of d=2. This behaviour is explained using single parameter scaling, which predicts a value for \tilded slightly greater than our numerical result of \tilded=2.9. No sharp features in the density of states at phonon-fracton cross-over are observed.

AB - A natural extension of scalar percolation models of, for example granular superconductors, are superelastic vector models in which nearest neighbour sites with more than one degree of freedom are coupled by infinitely strong central force bonds with probability P and unit strength bonds with probability (1-P). We present results for the density of vibrational states of such a system, obtained from a numerical simulation of a two dimensional triangular network. As the superelastic rigidity percolation threshold is approached from below, the density of states becomes fracton-like and is characterized by a spectral dimensionality \tilded which is greater than the Euclidean dimension of d=2. This behaviour is explained using single parameter scaling, which predicts a value for \tilded slightly greater than our numerical result of \tilded=2.9. No sharp features in the density of states at phonon-fracton cross-over are observed.

M3 - Journal article

VL - 26

SP - 1351

EP - 1352

JO - Japanese Journal of Applied Physics

JF - Japanese Journal of Applied Physics

SN - 0021-4922

IS - Supplement

ER -