Boundary height correlations in a two-dimensional Abelian sandpile
- 7 June 1994
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 27 (11) , 3643-3653
- https://doi.org/10.1088/0305-4470/27/11/014
Abstract
Boundary height distributions of the two-dimensional Abelian sandpile model are studied in the self-organized critical state. All height probabilities are calculated explicitly both at open and closed boundaries. The leading asymptotic term of the corresponding correlation functions is observed to behave as r-4 when r to infinity . On the basis of conformal field theory predictions the bulk height correlators are shown to have the same critical exponents as boundary ones. All heights seem to be identified with appropriate counterparts of the local energy operator in the zero-component Potts model.Keywords
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