Unusual universality of branching interfaces in random media
- 1 August 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 52 (2) , R1269-R1272
- https://doi.org/10.1103/physreve.52.r1269
Abstract
We study the criticality of a Potts interface by introducing a froth model which, unlike its solid-on-solid 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 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.Keywords
All Related Versions
This publication has 5 references indexed in Scilit:
- Polymers on disordered hierarchical lattices: A nonlinear combination of random variablesJournal of Statistical Physics, 1989
- Directed Polymers on Disordered Hierarchical LatticesEurophysics Letters, 1989
- Universality of the critical behaviour of the weakly disordered Baxter modelJournal of Physics A: General Physics, 1985
- Critical behaviour of the phase transition in the 2D Ising Model with impuritiesAdvances in Physics, 1983
- Thermal Phase Transition of the Dilute-State Potts and-Vector Models at the Percolation ThresholdPhysical Review Letters, 1981