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

Authors :
Poghosyan, V. S.
Grigorev, S. Y.
Priezzhev, V. B.
Ruelle, P.
Source :
Phys.Lett.B659:768-772,2008
Publication Year :
2007

Abstract

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 log r/r^4 exactly fits the prediction obtained within the logarithmic conformal approach.<br />Comment: 5 pages

Details

Database :
arXiv
Journal :
Phys.Lett.B659:768-772,2008
Publication Type :
Report
Accession number :
edsarx.0710.3051
Document Type :
Working Paper
Full Text :
https://doi.org/10.1016/j.physletb.2007.12.002