New critical frontiers for the Potts and percolation models

Details New critical frontiers for the Potts and percolation models New critical frontiers for the Potts and percolation models

2006-01-08

arxiv.org/abs/cond-mat/0601150v1

Phys. Rev. Lett. 96, 090602 (2006).

Physics

Condensed Matter

Statistical Mechanics

9 pages, 5 figures

Scientific paper

10.1103/PhysRevLett.96.090602

We obtain the critical threshold for a host of Potts and percolation models
on lattices having a structure which permits a duality consideration. The
consideration generalizes the recently obtained thresholds of Scullard and Ziff
for bond and site percolation on the martini and related lattices to the Potts
model and to other lattices.

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