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:
Journal Article
Journal or Publication Title:
Journal of Physics C: Solid State Physics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qc
Subjects:
ID Code:
58109
Deposited By:
Deposited On:
24 Oct 2012 08:25
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 08:07