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Geometry, thermodynamics, and finite-size corrections in the critical Potts model by Hu, Chin-Kun; Chen, Jau-Ann; Izmailian, N. Sh.; Kleban, P. is a scholarly article available to read on EtoBox.

What is Geometry, thermodynamics, and finite-size corrections in the critical Potts model about?

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.

Author

Hu, Chin-Kun; Chen, Jau-Ann; Izmailian, N. Sh.; Kleban, P.

Published

1999

Language

EN