Rare events and breakdown of simple scaling in the Abelian sandpile

Details Rare events and breakdown of simple scaling in the Abelian sandpile Rare events and breakdown of simple scaling in the Abelian sandpile

1998-05-05

arxiv.org/abs/cond-mat/9805045v2

Physics

Condensed Matter

Statistical Mechanics

RevTex, 4 Pages, 2 Figures

Scientific paper

10.1103/PhysRevE.58.R2677

Due to intermittency and conservation, the Abelian sandpile in 2D obeys multifractal, rather than finite size scaling. In the thermodynamic limit, a vanishingly small fraction of large avalanches dominates the statistics and a constant gap scaling is recovered in higher moments of the toppling distribution. Thus, rare events shape most of the scaling pattern and preserve a meaning for effective exponents, which can be determined on the basis of numerical and exact results.

Affiliated with

Also associated with

No associations

Rating

Rare events and breakdown of simple scaling in the Abelian sandpile does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rare events and breakdown of simple scaling in the Abelian sandpile, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rare events and breakdown of simple scaling in the Abelian sandpile will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-596784