SERIES EXPANSIONS FOR 2-DIMENSIONAL DIRECTED PERCOLATION

Citation
I. Jensen et Aj. Guttmann, SERIES EXPANSIONS FOR 2-DIMENSIONAL DIRECTED PERCOLATION, Nuclear physics. B, 1996, pp. 835-837
Citations number
10
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Year of publication
1996
Supplement
47
Pages
835 - 837
Database
ISI
SICI code
0550-3213(1996):<835:SEF2DP>2.0.ZU;2-2
Abstract
We have greatly extended the series expansions for moments of the pair connectedness and the percolation probability for directed bond and s ite percolation on the square and triangular lattices. In most cases w e have more than doubled the length of the previously known series. An alysis of the series generally seems to rule out ''simple'' rational v alues for the critical exponents. In all cases we find that the leadin g correction to scaling term is analytic.