Phase Transition in a Self-repairing Random Network
Disordered Systems and Neural Networks
2009-11-10 v1
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.
Cite
@article{arxiv.cond-mat/0306177,
title = {Phase Transition in a Self-repairing Random Network},
author = {A. S. Ioselevich and D. S. Lyubshin},
journal= {arXiv preprint arXiv:cond-mat/0306177},
year = {2009}
}
Comments
4 pages, 4 figures