Zeros of the Potts Model Partition Function in the Large-$q$ Limit

Details Zeros of the Potts Model Partition Function in the Large-$q$ Limit Zeros of the Potts Model Partition Function in the Large-$q$ Limit

2005-11-29

arxiv.org/abs/cond-mat/0511685v1

Int. J. Mod. Phys. B21, 979-994 (2007)

Physics

Condensed Matter

Statistical Mechanics

11 pages, revtex, 16 eps figures

Scientific paper

We study the zeros of the $q$-state Potts model partition function $Z(\Lambda,q,v)$ for large $q$, where $v$ is the temperature variable and $\Lambda$ is a section of a regular $d$-dimensional lattice with coordination number $\kappa_\Lambda$ and various boundary conditions. We consider the simultaneous thermodynamic limit and $q \to \infty$ limit and show that when these limits are taken appropriately, the zeros lie on the unit circle $|x_\Lambda|=1$ in the complex $x_\Lambda$ plane, where $x_\Lambda=v q^{-2/\kappa_\Lambda}$. For large finite sections of some lattices we also determine the circular loci near which the zeros lie for large $q$.

Affiliated with

Also associated with

No associations

Rating

Zeros of the Potts Model Partition Function in the Large-$q$ Limit does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zeros of the Potts Model Partition Function in the Large-$q$ Limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeros of the Potts Model Partition Function in the Large-$q$ Limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-715938