Journal of Statistical Physics

, Volume 78, Issue 3–4, pp 665–680 | Cite as

Numerical results for the three-state critical Potts model on finite rectangular lattices

  • M. J. O'Rourke
  • R. J. Baxter
  • V. V. Bazhanov


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.

Key Words

Statistical mechanics lattice statistics solvable models three-state Potts model zeros of the partition function conformal invariance modular invariance 


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Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • M. J. O'Rourke
    • 1
  • R. J. Baxter
    • 2
  • V. V. Bazhanov
    • 2
  1. 1.Theoretical Physics, I.A.S.Australian National UniversityCanberraAustralia
  2. 2.Theoretical Physics, I.A.S., and School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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