Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

4 pages, 3 figures

Scientific paper

We study the probability distribution of residence time, $T$, of the sand grains in the one dimensional abelian sandpile model on a lattice of $L$ sites, for $T<>L^2$. The distribution function decays as $\exp(-\frac{K_LT}{L^2})$. We numerically calculate the coefficient $K_L$ for the value of $L$ upto 150 . Interestingly the distribution function has a scaling form $\frac{1}{L^a}f(\frac{T}{L^b})$ with $a \neq b$ for large $L$.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model 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 Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Residence Time Distribution of Sand Grains in the 1-Dimensional Abelian Sandpile Model will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-617272

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.