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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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.

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Journal Article
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Journal of Physics C: Solid State Physics
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24 Oct 2012 08:25
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21 Sep 2023 01:23