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Particle Transport in a Confined Ratchet Driven by the Colored Noise

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Book cover Stochastic Dynamics Out of Equilibrium (IHPStochDyn 2017)

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Abstract

In this paper, we study particle transport in a confined ratchet which is constructed by combining a periodic channel with a ratchet potential under colored Gaussian noise excitation. Due to the interaction of colored noise and confined ratchet, particles host remarkably different properties in the transporting process. By means of the second-order stochastic Runge-Kutta algorithm, effects of the system parameters, including the noise intensity, colored noise correlation time and ratchet potential parameters are investigated by calculating particle current. The results reveal that the colored noise correlation time can lead to an increase of particle current. The increase of noise intensity along the horizontal or vertical direction can accelerate the particle transport in the corresponding direction but slow down the particle transport when there are the same noise intensities in both directions. For potential parameters, an increase of the slope parameter results into an increase of particle currents. The interactions of potential parameters and correlation time can induce complex particle transport phenomena, i.e. particle current increases with the increase of the potential depth parameter for a smaller asymmetric parameter and non-zero correlation time, while the tendency changes for a larger asymmetric parameter. Accordingly, suitable system parameters can be chosen to accelerate the particle transport and used to design new devices for particle transport in microscale.

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Acknowledgement

This work was supported by the NSF of China (11772255), the Fundamental Research Funds for the Central Universities, the Seed Foundation of Innovation and Creation for Graduate Students in Northwestern Polytechnical University. Y. Xu thanks to the Alexander von Humboldt Foundation.

Author information

Authors and Affiliations

  1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an, 710129, China

    Yong Xu, Ruoxing Mei & Yongge Li

  2. Potsdam Institute for Climate Impact Research, 14412, Potsdam, Germany

    Yong Xu & Jürgen Kurths

  3. Department of Physics, Humboldt University Berlin, 12489, Berlin, Germany

    Yong Xu & Jürgen Kurths

Authors
  1. Yong Xu
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  2. Ruoxing Mei
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  3. Yongge Li
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  4. Jürgen Kurths
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Corresponding author

Correspondence to Yong Xu .

Editor information

Editors and Affiliations

  1. Laboratoire de Probabilités, Statistiques et Modélisation (UMR 8001), Université Paris Diderot, Paris, France

    Giambattista Giacomin

  2. CEREMADE, CNRS UMR 7534, Université Paris Dauphine - PSL, Paris, France

    Stefano Olla

  3. CNRS UMR 8145, MAP5, Université Paris Descartes, Paris, France

    Ellen Saada

  4. Zentrum Mathematik, Technische Universität München, Garching, Bayern, Germany

    Herbert Spohn

  5. CERMICS, Ecole des Ponts, Marne-La-Vallée, France

    Gabriel Stoltz

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Xu, Y., Mei, R., Li, Y., Kurths, J. (2019). Particle Transport in a Confined Ratchet Driven by the Colored Noise. In: Giacomin, G., Olla, S., Saada, E., Spohn, H., Stoltz, G. (eds) Stochastic Dynamics Out of Equilibrium. IHPStochDyn 2017. Springer Proceedings in Mathematics & Statistics, vol 282. Springer, Cham. https://doi.org/10.1007/978-3-030-15096-9_15

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