Phase transition in a self-repairing random network
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We consider a network the bonds of which are being sequentially removed; this 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 the formation 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=p c , at which the backbone of the system vanishes; for all p< p c , the network is a dense fractal.
PACS numbers64.60.Ak 61.43.Gt 81.05.Rm 81.16.Rf
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