The Asymmetric Avalanche Process

Details The Asymmetric Avalanche Process The Asymmetric Avalanche Process

2002-08-08

arxiv.org/abs/cond-mat/0208173v3

J. Stat. Phys. 111, 1149-1182 (2003)

Physics

Condensed Matter

Statistical Mechanics

33 pages, 3 figures, revised version

Scientific paper

10.1023/A:1023048115250

An asymmetric stochastic process describing the avalanche dynamics on a ring is proposed. A general kinetic equation which incorporates the exclusion and avalanche processes is considered. The Bethe ansatz method is used to calculate the generating function for the total distance covered by all particles. It gives the average velocity of particles which exhibits a phase transition from an intermittent to continuous flow. We calculated also higher cumulants and the large deviation function for the particle flow. The latter has the universal form obtained earlier for the asymmetric exclusion process and conjectured to be common for all models of the Kardar-Parisi-Zhang universality class .

Affiliated with

Also associated with

No associations

Rating

The Asymmetric Avalanche Process 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 The Asymmetric Avalanche Process, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Asymmetric Avalanche Process will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-699047