Winding clusters in percolation on the Torus and the Moebius strip

Details Winding clusters in percolation on the Torus and the Moebius strip Winding clusters in percolation on the Torus and the Moebius strip

2003-10-15

arxiv.org/abs/cond-mat/0310361v1

J. Stat. Phys. 115, 839--853 (2004)

Physics

Condensed Matter

Statistical Mechanics

20 pages, 9 figures, submitted to J. Stat. Phys

Scientific paper

10.1023/B:JOSS.0000022376.25660.

Using a simulation technique introduced recently, we study winding clusters in percolation on the torus and the Moebius strip for different aspect ratios. The asynchronous parallelization of the simulation makes very large system and sample sizes possible. Our high accuracy results are fully consistent with predictions from conformal field theory. The numerical results for the Moebius strip and the number distribution of winding clusters on the torus await theoretical explanation. To our knowledge, this study is the first of its kind.

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