Abstract
The recent progress in the study of finite-size scaling (FSS) properties of the Ising model is briefly reviewed. We calculate the universal FSS functions for the Binder parameter g and the magnetization distribution function p(m) for the Ising model on L1 × L2 two-dimensional lattices with titled boundary conditions. We show that the FSS functions are universal for fixed sets of the aspect ratio L1/L2 and the tilt parameter. We also study the percolating properties of the Ising model, giving attention to the effects of the aspect ratio of finite systems. We elucidate the origin of the complex structure of p(m) for the system with large aspect ratio by the multiple-percolating-cluster argument.
| Original language | English |
|---|---|
| Pages (from-to) | 233-241 |
| Number of pages | 9 |
| Journal | Physica A: Statistical Mechanics and its Applications |
| Volume | 281 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2000 Jun 15 |
| Event | 5th Taiwan International Symposium on Statistical Physics (StatPhys-Taiwan-1999) - Taipei, Taiwan Duration: 1999 Aug 9 → 1999 Aug 12 |
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics
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Cite this
Okabe, Y., Kaneda, K., Tomita, Y., Kikuchi, M., & Hu, C. K. (2000). Cluster analysis of the Ising model and universal finite-size scaling. Physica A: Statistical Mechanics and its Applications, 281(1), 233-241. https://doi.org/10.1016/S0378-4371(00)00034-0