Critical Dynamics of a Superelastic Network

Burton, D. and Lambert, Colin (1988) Critical Dynamics of a Superelastic Network. EPL, 5 (5). pp. 461-465. ISSN 0295-5075

Abstract

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.