NUMERICAL STUDY OF WAVES OF TOPPLINGS IN THE ABELIAN SANDPILE MODEL

Authors
KTITAREV DV PAPOYAN VV
Citation
Dv. Ktitarev et Vv. Papoyan, NUMERICAL STUDY OF WAVES OF TOPPLINGS IN THE ABELIAN SANDPILE MODEL, Physics letters. A, 196(1-2), 1994, pp. 52-54
Citations number
12
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
196
Issue
1-2
Year of publication
1994
Pages
52 - 54
Database
ISI
SICI code
0375-9601(1994)196:1-2<52:NSOWOT>2.0.ZU;2-Z
Abstract
We study numerically the asymptotics of size distributions for avalanc he waves in the 2D Abelian sandpile model. We find the estimates of ex ponents for five families of waves, including the first and the last w aves in an avalanche. The size distributions of waves of a general for m and boundary avalanches are also investigated. The obtained results are in agreement with theoretical predictions and numerical simulation s performed by other authors.