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International Journal of Nonlinear Sciences and Numerical Simulation

Editor-in-Chief: Birnir, Björn

Editorial Board: Angheluta-Bauer, Luiza / Chen, Xi / Chou, Tom / Grauer, Rainer / Marzocchella, Antonio / Rangarajan, Govindan / Trivisa, Konstantina / Weikard, Rudi / Yang, Xu


IMPACT FACTOR 2017: 1.162

CiteScore 2017: 1.41

SCImago Journal Rank (SJR) 2017: 0.382
Source Normalized Impact per Paper (SNIP) 2017: 0.636

Mathematical Citation Quotient (MCQ) 2017: 0.12

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2191-0294
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Volume 20, Issue 2

Issues

Directed Transport in Symmetrically Periodic Potentials Induced by Cross-Correlation among Colored Gaussian Noises

Igor Alexandrovich Knyaz’
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  • Modeling of Complex Systems Department, Sumy State University, 2, R. Korsakova Str., 40007 Sumy, Ukraine
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Published Online: 2019-01-18 | DOI: https://doi.org/10.1515/ijnsns-2016-0193

Abstract

We study the noise induced directed transport of an inertial Brownian particle moving in a symmetric spatially periodic potential and is subjected to correlated colored noises. Under the assumption of small correlation times of colored fluctuations we obtain an analytical expression for resulting current in overdamped systems. Our analytical and numerical calculations indicate the directed current is controlled by the correlation parameters. It has been pointed out that the nonzero correlation time makes an important contribution to current only at large enough values of noise intensities. The role of other system parameters is investigated from the viewpoint of optimization the current amplitude.

Keywords: colored noises; cross-correlation; directed transport; symmetric potential

PACS: 05.10.-a –- Statistical physics and nonlinear dynamics; 05.40.-a –- Fluctuation phenomena; random processes; noise; and Brownian motion

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About the article

Received: 2016-12-28

Accepted: 2018-12-16

Published Online: 2019-01-18

Published in Print: 2019-04-26


Citation Information: International Journal of Nonlinear Sciences and Numerical Simulation, Volume 20, Issue 2, Pages 105–114, ISSN (Online) 2191-0294, ISSN (Print) 1565-1339, DOI: https://doi.org/10.1515/ijnsns-2016-0193.

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