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Universal scaling functions and quantities in percolation models

Author

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  • Hu, Chin-Kun
  • Chen, Jau-Ann
  • Lin, Chai-Yu

Abstract

We briefly review recent work on universal finite-size scaling functions (UFSSFs) and quantities in percolation models. The topics under discussion include: (a) UFSSFs for the existence probability (also called crossing probability) Ep, the percolation probability P, and the probability Wn of the appearance of n percolating clusters, (b) universal slope for average number of percolating clusters, (c) UFSSFs for a q-state bond-correlated percolation model corresponding to the q-state Potts model. We also briefly mention some very recent related developments and discuss implications of our results.

Suggested Citation

  • Hu, Chin-Kun & Chen, Jau-Ann & Lin, Chai-Yu, 1999. "Universal scaling functions and quantities in percolation models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 27-34.
    • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:27-34
    DOI: 10.1016/S0378-4371(98)00570-6
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