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VOLUME 79 (2004) | ISSUE 5 | PAGE 286
Phase transition in a self-repairing random network
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 p=pc, at which the backbone of the system vanishes; for all p<pc the network is a dense fractal.