The Unusual Universality of Branching Interfaces in Random Media
Condensed Matter
2016-08-31 v1
Abstract
We study the criticality of a Potts interface by introducing a {\it froth} model which, unlike its SOS Ising counterpart, incorporates bubbles of different phases. The interface is fractal at the phase transition of a pure system. However, a position space approximation suggests that the probability of loop formation vanishes marginally at a transition dominated by {\it strong random bond disorder}. This implies a linear critical interface, and provides a mechanism for the conjectured equivalence of critical random Potts and Ising models.
Cite
@article{arxiv.cond-mat/9412023,
title = {The Unusual Universality of Branching Interfaces in Random Media},
author = {Mehran Kardar and Attilio L. Stella and Giovanni Sartoni and Bernard Derrida},
journal= {arXiv preprint arXiv:cond-mat/9412023},
year = {2016}
}
Comments
REVTEX, 13 pages, 3 Postscript figures appended using uufiles