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Critical Dynamics of a Superelastic Network

Research output: Contribution to journalJournal article


Journal publication date1/03/1988
Number of pages5
Original languageEnglish


Numerical results are presented for the dynamical properties of a superelastic, central force, triangular network. A negative eigenvalue theorem is employed to compute the integrated density of states of the network in a strip configuration and finite-size scaling is used to obtain accurate values for the critical exponents. The rigidity percolation threshold is found to be Pce = 0.6375 ± 0.0025. The ratio of the elastic modulus and correlation length exponents is found to be τ/ν = 1.00 ± 0.05 and the critical fracton dimensionality is = 4.0 ± 0.2.