Steady state of Stochastic Sandpile Models

Details Steady state of Stochastic Sandpile Models Steady state of Stochastic Sandpile Models

2008-09-15

arxiv.org/abs/0809.2615v1

JOURNAL OF STATISTICAL PHYSICS. Volume 134, Number 3, 427-441 (2009)

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 figures

Scientific paper

10.1007/s10955-009-9683-7

We study the steady state of the abelian sandpile models with stochastic toppling rules. The particle addition operators commute with each other, but in general these operators need not be diagonalizable. We use their abelian algebra to determine their eigenvalues, and the Jordan block structure. These are then used to determine the probability of different configurations in the steady state. We illustrate this procedure by explicitly determining the numerically exact steady state for a one dimensional example, for systems of size $\le12$, and also study the density profile in the steady state.

Affiliated with

Also associated with

No associations

Rating

Steady state of Stochastic Sandpile Models 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 Steady state of Stochastic Sandpile Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady state of Stochastic Sandpile Models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-570218