FINITE SIZE SCALING FOR FIRST ORDER TRANSITIONS: POTTS MODEL
Condensed Matter
2016-08-31 v1
Abstract
The finite-size scaling algorithm based on bulk and surface renormalization of de Oliveira (1992) is tested on q-state Potts models in dimensions D = 2 and 3. Our Monte Carlo data clearly distinguish between first- and second-order phase transitions. Continuous-q analytic calculations performed for small lattices show a clear tendency of the magnetic exponent Y = D - beta/nu to reach a plateau for increasing values of q, which is consistent with the first-order transition value Y = D. Monte Carlo data confirm this trend.
Cite
@article{arxiv.cond-mat/9503102,
title = {FINITE SIZE SCALING FOR FIRST ORDER TRANSITIONS: POTTS MODEL},
author = {P. M. C. de Oliveira and S. M. Moss de Oliveira and C. E. Cordeiro and D. Stauffer},
journal= {arXiv preprint arXiv:cond-mat/9503102},
year = {2016}
}
Comments
5 pages, plain tex, 5 EPS figures, in file POTTS.UU (uufiles)