Universal scaling functions and quantities in percolation models

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

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 27-34

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.

Keywords: Percolation; Universality; Scaling function; Finite size (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:27-34

DOI: 10.1016/S0378-4371(98)00570-6

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