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Dynamical theory of coupled granular structures

Research output: Contribution to journalLetter

Published

Journal publication date20/08/1986
JournalJournal of Physics C: Solid State Physics
Journal number23
Volume19
Number of pages6
PagesL519-L524
Original languageEnglish

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.