53 citations · 124 across the 4 of their papers we have counts for
6 papers
Bethe ansatz solution of discrete time stochastic processes with fully parallel update
A. M. Povolotsky, J. F. F. Mendes
We present the Bethe ansatz solution for the discrete time zero range and asymmetric exclusion processes with fully parallel dynamics. The model depends on two parameters: , the…
Bethe ansatz solution of zero-range process with nonuniform stationary state
A. M. Povolotsky
The eigenfunctions and eigenvalues of the master-equation for zero range process with totally asymmetric dynamics on a ring are found exactly using the Bethe ansatz weighted with t…
Bethe Ansatz solution of the stochastic process with nonuniform stationary state
A. M. Povolotsky
The eigenfunctions and eigenvalues of the master-equation for zero range process on a ring are found exactly via the Bethe ansatz. The rates of particle exit from a site providing…
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…
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…