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

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

2007-10-16

arxiv.org/abs/0710.3051v1

Phys.Lett.B659:768-772,2008

Physics

Condensed Matter

Statistical Mechanics

5 pages

Scientific paper

10.1016/j.physletb.2007.12.002

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.

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