Phase transition in a self-repairing random network
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 $p=p_c$, at which the backbone of the system vanishes; for all $p<p_c$ the network is a dense fractal.
- Publication:
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Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- March 2004
- DOI:
- 10.1134/1.1753422
- arXiv:
- arXiv:cond-mat/0306177
- Bibcode:
- 2004JETPL..79..231I
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks
- E-Print:
- 4 pages, 4 figures