Pair correlations in sandpile model: a check of logarithmic conformal field theory
arXiv:0710.3051 · doi:10.1016/j.physletb.2007.12.002
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.
5 pages
References in corpus (1)
Cited by in corpus (7)
- Integrable Boundary Conditions and W-Extended Fusion in the Logarithmic Minimal Models LM(1,p)
- Explicit characterization of the identity configuration in an Abelian Sandpile Model
- Coset Graphs in Bulk and Boundary Logarithmic Minimal Models
- Two-dimensional spanning webs as (1,2) logarithmic minimal model
- Sandpile probabilities on triangular and hexagonal lattices
- Multipoint correlators in the Abelian sandpile model
- Watermelons on the half-plane