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cond-mat.mes-hall2011★ 24 cited
Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems I: Average Currents
Vladimir Y. Chernyak, John R. Klein, Nikolai A. Sinitsyn
This article studies Markovian stochastic motion of a particle on a graph with finite number of nodes and periodically time-dependent transition rates that satisfy the detailed bal…
cond-mat.mes-hall2011★ 13 cited
Quantization and Fractional Quantization of Currents in Periodically Driven Stochastic Systems II: Full Counting Statistics
Vladimir Y. Chernyak, John R. Klein, Nikolai A. Sinitsyn
We study Markovian stochastic motion on a graph with finite number of nodes and adiabatically periodically driven transition rates. We show that, under general conditions, the quan…