Research output: Contribution to Journal/Magazine › Letter › peer-review
Research output: Contribution to Journal/Magazine › Letter › peer-review
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TY - JOUR
T1 - Dynamical theory of coupled granular structures
AU - Burton, D.
AU - Lambert, Colin
PY - 1986/8/20
Y1 - 1986/8/20
N2 - 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.
AB - 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.
U2 - 10.1088/0022-3719/19/23/003
DO - 10.1088/0022-3719/19/23/003
M3 - Letter
VL - 19
SP - L519-L524
JO - Journal of Physics C: Solid State Physics
JF - Journal of Physics C: Solid State Physics
SN - 0022-3719
IS - 23
ER -