Scaling of crossing probabilities for the qstate Potts model at criticality
Abstract
We present study of finitesize scaling and universality of crossing probabilities for the $q$state Potts model. Crossing probabilities of the Potts model are similar ones in percolation problem. We numerically investigated scaling of $\pi_{s}$  the probability of a system to percolate only in one direction for twodimensional site percolation, the Ising model, and the qstate Potts model for $q=3,4,5,6,8,10$. We found the thermal scaling index $y= \frac{1}{\nu}$ for $q<4$. In contrast, $y \ne \frac{1}{\nu}$ for $q=4$.
 Publication:

arXiv eprints
 Pub Date:
 May 2000
 arXiv:
 arXiv:condmat/0005452
 Bibcode:
 2000cond.mat..5452V
 Keywords:

 Condensed Matter  Disordered Systems and Neural Networks;
 Condensed Matter  Statistical Mechanics
 EPrint:
 12 pages, 7 epsfigures