NUMERICAL RESULTS FOR THE 3-STATE CRITICAL POTTS-MODEL ON FINITE RECTANGULAR LATTICES

Authors
OROURKE MJ BAXTER RJ BAZHANOV VV
Citation
Mj. Orourke et al., NUMERICAL RESULTS FOR THE 3-STATE CRITICAL POTTS-MODEL ON FINITE RECTANGULAR LATTICES, Journal of statistical physics, 78(3-4), 1995, pp. 665-680
Citations number
30
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
78
Issue
3-4
Year of publication
1995
Pages
665 - 680
Database
ISI
SICI code
0022-4715(1995)78:3-4<665:NRFT3C>2.0.ZU;2-4
Abstract
Partition functions for the three-state critical Potts model on finite square lattices and for a variety of boundary conditions are presente d. The distribution of their zeros in the complex plane of the spectra l variable is examined and is compared to the expected infinite-lattic e result. The partition functions are then used to test the finite-siz e scaling predictions of conformal and modular invariance.