Scaling of crossing probabilities for the q-state Potts model at criticality
Abstract
We present study of finite-size 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 two-dimensional site percolation, the Ising model, and the q-state 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:
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arXiv e-prints
- Pub Date:
- May 2000
- DOI:
- 10.48550/arXiv.cond-mat/0005452
- arXiv:
- arXiv:cond-mat/0005452
- Bibcode:
- 2000cond.mat..5452V
- Keywords:
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- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 12 pages, 7 eps-figures