Phase Transition in a Self-repairing Random Network
arXiv:cond-mat/0306177 · doi:10.1134/1.1753422
Abstract
We consider a network, bonds of which are being sequentially removed; that is done at random, but conditioned on the system remaining connected (Self-Repairing Bond Percolation SRBP). This model is the simplest representative of a class of random systems for which forming of isolated clusters is forbidden. It qualitatively describes the process of fabrication of artificial porous materials and degradation of strained polymers. We find a phase transition at a finite concentration of bonds , at which the backbone of the system vanishes; for all the network is a dense fractal.
4 pages, 4 figures