Series expansions for two-dimensional directed percolation

I. Jensen; A. J. Guttmann

doi:10.1016/0920-5632(96)00186-7

Series expansions for two-dimensional directed percolation

I. Jensen
, A. J. Guttmann

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We have greatly extended the series expansions for moments of the pair connectedness and the percolation probability for directed bond and site percolation on the square and triangular lattices. In most cases we have more than doubled the length of the previously known series. Analysis of the series generally seems to rule out "simple" rational values for the critical exponents. In all cases we find that the leading correction to scaling term is analytic.

Original language	English
Pages (from-to)	835-837
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	47
Issue number	1-3
DOIs	https://doi.org/10.1016/0920-5632(96)00186-7
Publication status	Published - Mar 1996
Externally published	Yes

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title = "Series expansions for two-dimensional directed percolation",

abstract = "We have greatly extended the series expansions for moments of the pair connectedness and the percolation probability for directed bond and site percolation on the square and triangular lattices. In most cases we have more than doubled the length of the previously known series. Analysis of the series generally seems to rule out {"}simple{"} rational values for the critical exponents. In all cases we find that the leading correction to scaling term is analytic.",

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T1 - Series expansions for two-dimensional directed percolation

AU - Jensen, I.

AU - Guttmann, A. J.

PY - 1996/3

Y1 - 1996/3

N2 - We have greatly extended the series expansions for moments of the pair connectedness and the percolation probability for directed bond and site percolation on the square and triangular lattices. In most cases we have more than doubled the length of the previously known series. Analysis of the series generally seems to rule out "simple" rational values for the critical exponents. In all cases we find that the leading correction to scaling term is analytic.

AB - We have greatly extended the series expansions for moments of the pair connectedness and the percolation probability for directed bond and site percolation on the square and triangular lattices. In most cases we have more than doubled the length of the previously known series. Analysis of the series generally seems to rule out "simple" rational values for the critical exponents. In all cases we find that the leading correction to scaling term is analytic.

UR - https://www.scopus.com/pages/publications/16144367324

U2 - 10.1016/0920-5632(96)00186-7

DO - 10.1016/0920-5632(96)00186-7

M3 - Article

AN - SCOPUS:16144367324

SN - 0920-5632

VL - 47

SP - 835

EP - 837

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

IS - 1-3

ER -

Series expansions for two-dimensional directed percolation

Abstract

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