Abstract
The no-enclave percolation (NEP) model introduced recently by Sheinman et al. can be mapped to a problem of holes within a standard percolation backbone, and numerical measurements of such holes give the same size-distribution exponent as found for the NEP model. An argument is given that for backbone holes, where is the backbone dimension. On the other hand, a model of simple holes within a percolation cluster yields , where is the fractal dimension of the cluster, and this value is consistent with the experimental results of gel collapse of Sheinman et al., which give . This suggests that the gel clusters are of the universality class of percolation cluster holes. Both models give a discontinuous maximum hole size at , signifying explosive percolation behavior.
- Received 12 May 2016
DOI:https://doi.org/10.1103/PhysRevLett.117.185701
© 2016 American Physical Society