We have over 12,000 students, from over 100 countries, within one of the safest campuses in the UK


93% of Lancaster students go into work or further study within six months of graduating

Home > Research > Publications & Outputs > Dynamical properties of superelastic percolatin...
View graph of relations

« Back

Dynamical properties of superelastic percolating systems

Research output: Contribution to journalJournal article


Journal publication date1987
JournalJapanese Journal of Applied Physics
Number of pages2
Original languageEnglish


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.