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Brownian pump with an unbiased external force

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

We investigate Brownian pump transport in the presence of an unbiased external force. The pumping system is embedded in a finite region bounded by two particle reservoirs. In the adiabatic limit, we obtain the analytical expressions of the current and the concentration ratio. We find that Brownian particles can be pumped through an asymmetric potential from a particle reservoir at low concentration to one at the same or higher concentration in the presence of an unbiased external force.

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References

  1. R. D. Astumian, Science 276, 917 (1997)

    Article  Google Scholar 

  2. L. S. B. Goldstein, Trends Cell Biol. 11, 477 (2001)

    Article  Google Scholar 

  3. G. Oster, Nature 417, 25 (2002)

    Article  ADS  Google Scholar 

  4. R. P. Feynman, R. B. Leighton, M. Sands, The Feynman Lectures on Physics vol. 1 (Addison Wesley, Reading, Massachusetts, 1963) 46.1

    Google Scholar 

  5. P. Reimann, Phys. Rep 361, 57 (2002)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. B. Q. Ai, L. G. Liu, J. Phys. Chem. B 112, 9540 (2008

    Article  Google Scholar 

  7. A. Gomez-Marin, J.M. Sancho, Phys. Rev. E 71, 021101 (2005)

    Article  ADS  Google Scholar 

  8. J. Rousselet, L. Salome, A. Ajdari, J. Prost, Nature 370, 446 (1994)

    Article  ADS  Google Scholar 

  9. L. Gorre-Talini, P. Silberzan, J. Phys. I 7, 1475 (1997)

    Google Scholar 

  10. L. Gorre-Talini, S. Jeanjean, P. Silberzan, Phys. Rev. E 56, 2025 (1997)

    Article  ADS  Google Scholar 

  11. J. S. Bader et al., P. Natl. Acad. Sci. USA 96, 13165 (1999)

    Article  ADS  Google Scholar 

  12. R. Gommers et al., Phys. Rev. Lett. 94. 143001 (2005)

    Article  ADS  Google Scholar 

  13. L. R. Huang, E. C. Cox, R. H. Austin, J. C. Sturm, Anal. Chem 75, 6963 (2003)

    Article  Google Scholar 

  14. J. M. Sancho, A. Gomez-Marin, Proce. SPIE, 66020B (2007)

  15. A. Gomez-Marin, J. M. Sancho, Phys. Rev. E 77, 031108 (2008)

    Article  ADS  Google Scholar 

  16. H. Gang, A. Daffertshofer, H. Haken, Phys. Rev. Lett. 76, 4874 (1996)

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Authors and Affiliations

  1. Institute for Condensed Matter Physics, School of Physics and Telecommunication Engineering, South China Normal University, 510006, Guangzhou, China

    Yang Liu & Bao-quan Ai

Authors
  1. Yang Liu
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  2. Bao-quan Ai
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Correspondence to Bao-quan Ai.

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Liu, Y., Ai, Bq. Brownian pump with an unbiased external force. centr.eur.j.phys. 7, 614–619 (2009). https://doi.org/10.2478/s11534-009-0005-0

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  • DOI: https://doi.org/10.2478/s11534-009-0005-0

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