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

## 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 |
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Journal or Publication Title: | Journal of Physics C: Solid State Physics |

Subjects: | ?? qc ?? |

Departments: | Faculty of Science and Technology > Physics |

ID Code: | 58109 |

Deposited By: | ep_importer_pure |

Deposited On: | 24 Oct 2012 09:25 |

Refereed?: | Yes |

Published?: | Published |

Last Modified: | 11 Apr 2018 00:42 |

Identification Number: | |

URI: | http://eprints.lancs.ac.uk/id/eprint/58109 |

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