Skip to main content
Log in

Mechanism for the appearance of a high-efficiency Brownian motor with fluctuating potential

  • Miscellaneous
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

A version of a Brownian motor (system generating a unidirectional motion of a Brownian particle in an asymmetric fluctuating potential) is considered for the case where the potential consists of an asymmetric periodic component undergoing random shifts by a half-period L with a certain frequency and the potential of an external force F. The high efficiency of such a motor (ratio of the useful work against the load force F to the energy imparted to the particle due to the potential shifts) is due to a high and narrow barrier, as well as to a smooth arbitrarily shaped potential relief repeated with an energy shift on both half-periods L. Simple analytic expressions are obtained for the flux and efficiency as functions of the load force over a wide frequency range.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  3. F. Jülicher, A. Ajdari, and J. Prost, Rev. Mod. Phys. 69, 1269 (1997).

    Article  ADS  Google Scholar 

  4. J. M. R. Parrondo, J. M. Blanko, F. J. Chao, and R. Brito, Europhys. Lett. 43, 248 (1998).

    Article  ADS  Google Scholar 

  5. A. Parmeggiani, F. Jülicher, A. Ajdari, and J. Prost, Phys. Rev. E 60, 2127 (1999).

    Article  ADS  Google Scholar 

  6. Yu. A. Makhnovskii, V. M. Rozenbaum, D.-Y. Yang, et al., Phys. Rev. E 69, 021102 (2004).

    Google Scholar 

  7. H. Riskin, The Fokker-Plank Equation, Methods of Solutions and Applications (Springer, Berlin, 1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 79, No. 8, 2004, pp. 475–479.

Original Russian Text Copyright © 2004 by Rozenbaum.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rozenbaum, V.M. Mechanism for the appearance of a high-efficiency Brownian motor with fluctuating potential. Jetp Lett. 79, 388–391 (2004). https://doi.org/10.1134/1.1772438

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1772438

PACS numbers

Navigation