Pair correlations in sandpile model: A check of logarithmic conformal field theory

We compute the correlations of two height variables in the two-dimensional Abelian sandpile model. We extend the known result for two minimal heights to the case when one of the heights is bigger than one. We find that the most dominant correlation logr/r4 exactly fits the prediction obtained within...

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Bibliographic Details
Published inPhysics letters. B Vol. 659; no. 3; pp. 768 - 772
Main Authors Poghosyan, V.S., Grigorev, S.Y., Priezzhev, V.B., Ruelle, P.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 24.01.2008
Subjects
64.60.av
11.25.Hf
05.65.+b
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Summary:We compute the correlations of two height variables in the two-dimensional Abelian sandpile model. We extend the known result for two minimal heights to the case when one of the heights is bigger than one. We find that the most dominant correlation logr/r4 exactly fits the prediction obtained within the logarithmic conformal approach.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2007.12.002