Avalanche merging and continuous flow in a sandpile model

Citation
A. Corral et M. Paczuski, Avalanche merging and continuous flow in a sandpile model, PHYS REV L, 83(3), 1999, pp. 572-575
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
83
Issue
3
Year of publication
1999
Pages
572 - 575
Database
ISI
SICI code
0031-9007(19990719)83:3<572:AMACFI>2.0.ZU;2-X
Abstract
A dynamical transition separating intermittent and continuous flow is obser ved in a sandpile model, with scaling functions relating the transport beha viors between the regimes. The width of the active zone diverges with syste m size in the avalanche regime but becomes very narrow for continuous flow. The change of the mean slope. Delta z, on increasing the driving rate, r, obeys Delta z similar to r(1/theta). It has a nontrivial scaling behavior i n the continuous flow phase with an exponent theta given, paradoxically, on ly in terms of exponents characterizing the avalanches theta = (1 + z - D)/ (3 - D).