Height correlations in the abelian sandpile model

Majumdar, S. N. ; Dhar, D. (1991) Height correlations in the abelian sandpile model Journal of Physics A: Mathematical and General, 24 (7). L357-L362. ISSN 0305-4470

Full text not available from this repository.

Official URL: http://iopscience.iop.org/0305-4470/24/7/008

Related URL: http://dx.doi.org/10.1088/0305-4470/24/7/008


The authors study the distribution of heights in the self-organized critical state of the Abelian sandpile model on a d-dimensional hypercubic lattice. They calculate analytically the concentration of sites having minimum allowed value in the critical state. They also calculate, in the critical state, the probability that the heights, at two sites separated by a distance r, would both have minimum values and show that the lowest-order r-dependent term in it varies as r-2d for large r.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics Publishing.
ID Code:9373
Deposited On:02 Nov 2010 12:20
Last Modified:31 May 2011 09:46

Repository Staff Only: item control page