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Shape-dependent universality in percolation

Author

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  • Ziff, Robert M
  • Lorenz, Christian D
  • Kleban, Peter

Abstract

The shape-dependent universality of the excess percolation cluster number and cross-configuration probability on a torus is examined. Besides the aspect ratio of the torus, the universality class depends upon the twist in the periodic boundary conditions, which may be introduced when triangular lattices are used in simulations.

Suggested Citation

  • Ziff, Robert M & Lorenz, Christian D & Kleban, Peter, 1999. "Shape-dependent universality in percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 17-26.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:17-26
    DOI: 10.1016/S0378-4371(98)00569-X
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    Cited by:

    1. He, Zhenfang & Hu, Hao, 2021. "Size distributions of the largest hole in the largest percolation cluster and backbone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 570(C).
    2. Zhang, Zhongjin & Hou, Pengcheng & Fang, Sheng & Hu, Hao & Deng, Youjin, 2021. "Critical exponents and universal excess cluster number of percolation in four and five dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 580(C).

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