Pumping current in a non-Markovian $N$-state model
Statistical Mechanics
2021-06-30 v5
Abstract
A periodically modulated N-state model whose dynamics is governed by a time-convoluted generalized master equation is theoretically analyzed. It is shown that this non-Markovian master equation can be converted to a Markovian master equation having a larger transition matrix, which affords easier analysis. The behavior of this model is investigated by focusing on the cycle-averaged pumping current. In the adiabatic limit, the geometrical current is calculated analytically, and compared to numerical results which are available for a wide range of modulation frequencies.
Cite
@article{arxiv.2004.02373,
title = {Pumping current in a non-Markovian $N$-state model},
author = {Ville Matias Mikael Paasonen and Hisao Hayakawa},
journal= {arXiv preprint arXiv:2004.02373},
year = {2021}
}
Comments
12 pages, 14 figures, revised based on referee comments