Percolation on two-dimensional elastic networks with rotationally invariant bond-bending forces

The behavior at the percolation threshold of a two-dimensional elastic network, involving both central and rotationally invariant bond-bending forces, is studied by numerical simulations and finite-size scaling analysis. A critical exponent $f\gtrsim 3$ is found that is much higher than the corresponding exponent $t\approx 1.3$ for the electrical conductivity of a resistor network at percolation. This new result supports the previous result from a purely central force model and a mean-field-type analysis of the present model. If the bond-bending-force constant is not smaller than the stretching-force constant, an interesting crossover from a conductivity-like scaling behavior to the elastic one is observed as the system size is increased.