Avalanche Structure in the Kadanoff Sand Pile Model

Details Avalanche Structure in the Kadanoff Sand Pile Model Avalanche Structure in the Kadanoff Sand Pile Model

2011-01-31

arxiv.org/abs/1101.5940v1

Computer Science

Discrete Mathematics

12 pages

Scientific paper

Sand pile models are dynamical systems emphasizing the phenomenon of Self Organized Criticality (SOC). From N stacked grains, iterating evolution rules leads to some critical configuration where a small disturbance has deep consequences on the system, involving numerous steps of grain fall. Physicists L. Kadanoff et al. inspire KSPM, a model presenting a sharp SOC behavior, extending the well known Sand Pile Model. In KSPM with parameter D we start from a pile of N stacked grains and apply the rule: D-1 grains can fall from column i onto the D-1 adjacent columns to the right if the difference of height between columns i and i+1 is greater or equal to D. We propose an iterative study of KSPM evolution where one single grain addition is repeated on a heap of sand. The sequence of grain falls following a single grain addition is called an avalanche. From a certain column precisely studied for D=3, we provide a plain process describing avalanches.

Affiliated with

Also associated with

No associations

Rating

Avalanche Structure in the Kadanoff Sand Pile 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 Avalanche Structure in the Kadanoff Sand Pile Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Avalanche Structure in the Kadanoff Sand Pile Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-647848