Burton, D. and Lambert, Colin (1986) Dynamical theory of coupled granular structures. Journal of Physics C: Solid State Physics, 19 (23). L519-L524. ISSN 0022-3719Full text not available from this repository.
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.
|Journal or Publication Title:||Journal of Physics C: Solid State Physics|
|Subjects:||Q Science > QC Physics|
|Departments:||Faculty of Science and Technology > Physics|
|Deposited On:||24 Oct 2012 09:25|
|Last Modified:||10 Apr 2014 00:07|
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