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Showing 2004 · cond-mat.stat-mechShow all
2 papers · 2 filters
cond-mat.stat-mech2004★ 32 cited
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…
cond-mat.stat-mech2004★ 53 cited
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…