title: Geometry, thermodynamics, and finite-size corrections in the critical Potts model.
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 <N(c)> of the QBCPM has an energy-like singularity for q not equal to 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, <N(b)>, 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.
authors.affiliation: Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan. huck@phys.sinica.edu.tw
authors.forename: C K
authors.initials: CK
authors.lastname: Hu
authors.forename: J A
authors.initials: JA
authors.lastname: Chen
authors.forename: N S
authors.initials: NS
authors.lastname: Izmailian
authors.forename: P
authors.initials: P
authors.lastname: Kleban