Geometry, thermodynamics, and finite-size corrections in the critical Potts model
arXiv:cond-mat/9905203 · doi:10.1103/PhysRevE.60.6491
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.
12 pages, 6 figures
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Cited by in corpus (15)
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