Geometry, thermodynamics, and finite-size corrections in the critical Potts model
Statistical Mechanics
2009-10-31 v2
Abstract
We establish an intriguing connection between geometry and thermodynamics in the critical q-state Potts model on two-dimensional lattices, using the q-state bond-correlated percolation model (QBCPM) representation. We find that the number of clusters of the QBCPM has an energy-like singularity for q different from 1, which is reached and supported by exact results, numerical simulation, and scaling arguments. We also establish that the finite-size correction to the number of bonds, has no constant term and explains the divergence of related quantities as q --> 4, the multicritical point. Similar analyses are applicable to a variety of other systems.
Keywords
Cite
@article{arxiv.cond-mat/9905203,
title = {Geometry, thermodynamics, and finite-size corrections in the critical Potts model},
author = {Chin-Kun Hu and Jau-Ann Chen and N. Sh. Izmailian and P. Kleban},
journal= {arXiv preprint arXiv:cond-mat/9905203},
year = {2009}
}
Comments
12 pages, 6 figures