Physics – Condensed Matter
Scientific paper
2003-09-22
Physica A 340(2004) 535.
Physics
Condensed Matter
11 pages, latex, no figures
Scientific paper
10.1016/j.physa.2004.05.003
We show that the one-dimensional Oslo rice-pile model is a special case of the abelian distributed processors model. The exact steady state of the model is determined. We show that the time evolution operator W for the system satisfies the equation W^{n+1} = W^n where n = L(L+1)/2 for a pile with L sites. This is used to prove that W has only one eigenvalue 1 corresponding to the steady state, and all other eigenvalues are exactly zero. Also, all connected time-dependent correlation functions in the steady state of the pile are exactly zero for time difference greater that n. Generalization to other abelian critical height models where the critical thresholds are randomly reset after each toppling is briefly discussed.
No associations
LandOfFree
Steady State and Relaxation Spectrum of the Oslo Rice-pile 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 and Relaxation Spectrum of the Oslo Rice-pile, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Steady State and Relaxation Spectrum of the Oslo Rice-pile will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-160915