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Numerical results for the three-state critical Potts model on finite rectangular lattices |
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| Authors: | M. J. O'Rourke R. J. Baxter V. V. Bazhanov |
| Affiliation: | (1) Theoretical Physics, I.A.S., Australian National University, 0200 Canberra, A.C.T., Australia;(2) Theoretical Physics, I.A.S., and School of Mathematical Sciences, Australian National University, 0200 Canberra, A.C.T., Australia |
| Abstract: | Partition functions for the three-state critical Potts model on finite square lattices and for a variety of boundary conditions are presented. The distribution of their zeros in the complex plane of the spectral variable is examined and is compared to the expected infinite-lattice result. The partition functions are then used to test the finite-size scaling predictions of conformal and modular invariance. |
| Keywords: | Statistical mechanics lattice statistics solvable models three-state Potts model zeros of the partition function conformal invariance modular invariance |
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