Published February 1, 2010
| Version v1
Journal article
The Abelian sandpile model on the honeycomb lattice
- 1. Department of Physics, Sharif University of Technology, Tehran, PO Box: 11365-9161 (Iran, Islamic Republic of)
- 2. Institut de Physique Théorique, Université Catholique de Louvain, B-1348 Louvain-La-Neuve (Belgium)
Description
We check the universality properties of the two-dimensional Abelian sandpile model by computing some of its properties on the honeycomb lattice. Exact expressions for unit-height correlation functions in the presence of boundaries and for different boundary conditions are derived. Also, we study the statistics of the boundaries of avalanche waves by using the theory of SLE and suggest that these curves are conformally invariant and described by SLE2
Availability note (English)
Available from http://dx.doi.org/10.1088/1742-5468/2010/02/P02004Additional details
Identifiers
- DOI
- 10.1088/1742-5468/2010/02/P02004;
- PII
- S1742-5468(10)44004-2;
Publishing Information
- Journal Title
- Journal of Statistical Mechanics
- Journal Volume
- 2010
- Journal Issue
- 02
- Journal Page Range
- [24 p.]
- ISSN
- 1742-5468
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 46002016
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BOUNDARY CONDITIONS; CONFORMAL INVARIANCE; CORRELATION FUNCTIONS; DIAGRAMS; MATHEMATICAL MODELS; STATISTICS; TWO-DIMENSIONAL CALCULATIONS
- Descriptors DEC
- FUNCTIONS; INFORMATION; INVARIANCE PRINCIPLES; MATHEMATICS