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Dynamical theory of coupled granular structures

Burton, D. and Lambert, Colin (1986) Dynamical theory of coupled granular structures. Journal of Physics C: Solid State Physics, 19 (23). L519-L524. ISSN 0022-3719

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Abstract

The authors present new analytic formulae for the phonon density of states and inverse decay length of a one-dimensional granular structure and show that for large grains with no disorder these are universal functions of a dimensionless frequency Omega and a velocity of sound ratio, C. The density of states at frequencies Omega <C is shown to exhibit a granularity-induced enhancement, which is unaffected by the presence of disorder. For the first time a one-dimensional analogue of a network glass below a smeared rigidity percolation transition is analysed. It is shown that this system also exhibits a low-frequency density-of-states enhancement, whose magnitude is determined by the velocity of sound ratio C alone.

Item Type: Article
Journal or Publication Title: Journal of Physics C: Solid State Physics
Subjects: Q Science > QC Physics
Departments: Faculty of Science and Technology > Physics
ID Code: 58109
Deposited By: ep_importer_pure
Deposited On: 24 Oct 2012 09:25
Refereed?: Yes
Published?: Published
Last Modified: 10 Apr 2014 00:07
Identification Number:
URI: http://eprints.lancs.ac.uk/id/eprint/58109

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