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Dynamical properties of superelastic percolating systems

Research output: Contribution to journalJournal article

Published

Journal publication date1987
JournalJapanese Journal of Applied Physics
Journal numberSupplement
Volume26
Number of pages2
Pages1351-1352
Original languageEnglish

Abstract

A natural extension of scalar percolation models of, for example granular superconductors, are superelastic vector models in which nearest neighbour sites with more than one degree of freedom are coupled by infinitely strong central force bonds with probability P and unit strength bonds with probability (1-P). We present results for the density of vibrational states of such a system, obtained from a numerical simulation of a two dimensional triangular network. As the superelastic rigidity percolation threshold is approached from below, the density of states becomes fracton-like and is characterized by a spectral dimensionality \tilded which is greater than the Euclidean dimension of d=2. This behaviour is explained using single parameter scaling, which predicts a value for \tilded slightly greater than our numerical result of \tilded=2.9. No sharp features in the density of states at phonon-fracton cross-over are observed.