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Phys. Rev. Lett. 77, 8–11 (1996)

Universal Scaling Functions for Numbers of Percolating Clusters on Planar Lattices

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Chin-Kun Hu
Institute of Physics, Academia Sinica, Nankang, Taipei 11529, Taiwan

Chai-Yu Lin
Institute of Physics, National Tsing Hua University, Hsinchu 30043, Taiwan

Received 23 January 1996; published in the issue dated 1 July 1996

Using a histogram Monte Carlo method and nonuniversal metric factors of a recent Letter [Phys. Rev. Lett. 75, 193 (1995)], we find that the probability for the appearance of n, n = 1,2,, top to bottom percolating clusters on finite square, planar triangular, and honeycomb lattices falls on the same universal scaling functions, which show interesting behavior as the aspect ratio of the lattice increases. Our results suggest many interesting problems for further research.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.77.8
DOI:
10.1103/PhysRevLett.77.8
PACS:
05.50.+q, 75.10.-b