39 citations · 39 across the 1 of their papers we have counts for
5 papers
The Asymmetric Avalanche Process
A. M. Povolotsky, V. B. Priezzhev, Chin-Kun Hu
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 con…
Exact velocity of dispersive flow in the asymmetric avalanche process
E. V. Ivashkevich, A. M. Povolotsky, V. B. Priezzhev
Using the Bethe ansatz we obtain the exact solution for the one-dimensional asymmetric avalanche process. We evaluate the velocity of dispersive flow as a function of driving force…
Distribution of consecutive waves in the sandpile model on the Sierpinski gasket
F. Daerden, V. B. Priezzhev, C. Vanderzande
The scaling properties of waves of topplings in the sandpile model on the Sierpinski gasket are investigated. The exponent describing the asymptotics of the distribution of last wa…
Dynamics of Eulerian walkers
A. M. Povolotsky, V. B. Priezzhev, R. R. Shcherbakov
We investigate the dynamics of Eulerian walkers as a model of self-organized criticality. The evolution of the system is subdivided into characteristic periods which can be seen as…
Self-organized criticality in self-directing walks
V. B. Priezzhev
A new model of self-organized criticality is proposed. An algebra of operators is introduced which is similar to that used for the Abelian sandpile model. The structure of the conf…