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  The steady current analysis in a periodic channel driven by correlated noises

Mei, R., Xu, Y., Li, Y., Kurths, J. (2020): The steady current analysis in a periodic channel driven by correlated noises. - Chaos, Solitons and Fractals, 135, 109766.
https://doi.org/10.1016/j.chaos.2020.109766

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 Creators:
Mei, Ruoxing1, Author
Xu, Yong1, Author
Li, Yongge1, Author
Kurths, Jürgen2, Author              
Affiliations:
1External Organizations, ou_persistent22              
2Potsdam Institute for Climate Impact Research, ou_persistent13              

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 Abstract: A system consisting of correlated noises and a channel is analyzed. Via the Fick-Jacobs equation for the system’s current evolution, the validity are discussed under three kinds of correlated noise. i) The first case is two Gaussian white noises with a white correlation. We found that in contrast to the single white noise, the white correlation between these two noises breaks the system’s symmetry and causes a directed current and the larger the correlation degree, the smaller the current. However, the interaction between the correlation degree and a sinusoidal potential may produce an increasing steady current. ii) The second one is two Gaussian white noises with an exponential correlation. And our results perform that the correlation time between them contributes to a decrease of the steady current. iii) Finally, the case that two Gaussian colored noises with an exponential correlation is investigated. Unlike the former two cases, whether the correlation time comes from the noise itself or the correlation between the two noises, its increase here can always cause an increasing current.

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 Dates: 2020-03-142020-03-212020
 Publication Status: Finally published
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: DOI: 10.1016/j.chaos.2020.109766
PIKDOMAIN: RD4 - Complexity Science
MDB-ID: No data to archive
Working Group: Network- and machine-learning-based prediction of extreme events
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Title: Chaos, Solitons and Fractals
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 135 Sequence Number: 109766 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/190702
Publisher: Elsevier