Skip to main content
Log in

Coupled Brownian motors

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

A set of coupled Brownian motors—resulting from a noise-induced phase transition generated through an entropic mechanism, and formerly studied in mean-field approximation—is numerically integrated by Heun’s method. The results add much insight to the mean-field ones, allowing interpretation of the underlying mechanisms. It turns out that the low-noise boundary of the ordered phase obtained in mean-field approximation lies near a region where the order parameter is negative. Hints of bistability and negative mobility around F = 0 are seen in two cases, and anomalous hysteresis is confirmed in one case.

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. A. Einstein, Ann. Phys. (Leipzig) 17, 549 (1905)

    Article  ADS  Google Scholar 

  2. P. Langevin, C.R. Acad. Sci. (Paris) 146, 530 (1908)

    Google Scholar 

  3. A.A. Zaikin, J. García-Ojalvo, L. Schimansky-Geier, Phys. Rev. E 60, R6275 (1999)

    Article  ADS  Google Scholar 

  4. J. García-Ojalvo, J.M. Sancho, Noise in spatially extended system (Springer, New York, 1999)

  5. F. Sagués, J.M. Sancho, J. García-Ojalvo, Rev. Mod. Phys. 79, 829 (2007)

    Article  ADS  Google Scholar 

  6. H.S. Wio, R.R. Deza, J.M. López, An introduction to stochastic processes and nonequilibrium statistical physics, revised edn. (World Scientific, Singapore, 2012)

  7. W. Horsthemke, R. Lefever, Noise induced transitions (Springer, Berlin, 1984)

  8. C. Van den Broeck, J.M.R. Parrondo, R. Toral, Phys. Rev. Lett. 73, 3395 (1994)

    Article  ADS  Google Scholar 

  9. C. Van den Broeck, J.M.R. Parrondo, R. Toral, R. Kawai, Phys. Rev. E 55, 4084 (1997)

    Article  ADS  Google Scholar 

  10. S.E. Mangioni, R.R. Deza, H.S. Wio, R. Toral, Phys. Rev. Lett. 79, 2389 (1997)

    Article  ADS  Google Scholar 

  11. S.E. Mangioni, R.R. Deza, H.S. Wio, R. Toral, Phys. Rev. E 61, 223 (2000)

    Article  ADS  Google Scholar 

  12. M. Ibañes, J. García-Ojalvo, R. Toral, J.M. Sancho, Phys. Rev. Lett. 87, 020601 (2001)

    Article  ADS  Google Scholar 

  13. O. Carrillo, M. Ibañes, J. García-Ojalvo, J. Casademunt, J.M. Sancho, Phys. Rev. E 67, 046110 (2003)

    Article  ADS  Google Scholar 

  14. J. Buceta, M. Ibañes, J.M. Sancho, K. Lindenberg, Phys. Rev. E 67, 021113 (2003)

    Article  ADS  Google Scholar 

  15. S.E. Mangioni, Physica A 389, 1799 (2010)

    Article  ADS  Google Scholar 

  16. S.E. Mangioni, R.R. Deza, Phys. Rev. E 82, 042101 (2010)

    Article  ADS  Google Scholar 

  17. S.E. Mangioni, R.R. Deza, Physica A 391, 4191 (2012)

    Article  ADS  Google Scholar 

  18. S.E. Mangioni, R.R. Deza, Phys. Rev. E 92, 032116 (2015)

    Article  ADS  Google Scholar 

  19. S.E. Mangioni, R.R. Deza, Acta Phys. Pol. B 48, 849 (2017)

    Article  ADS  Google Scholar 

  20. G.A. Zarza, S.E. Mangioni, J. Fernández Acevedo, R.R. Deza, Phys. Rev. E 95, 052143 (2017)

    Article  ADS  Google Scholar 

  21. P. Reimann, Phys. Rep. 290, 149 (1997)

    Article  ADS  Google Scholar 

  22. P. Hänggi, F. Marchesoni, Rev. Mod. Phys. 81, 387 (2009)

    Article  ADS  Google Scholar 

  23. J. Um, H. Hong, F. Marchesoni, H. Park, Phys. Rev. Lett. 108, 060601 (2012)

    Article  ADS  Google Scholar 

  24. P. Reimann, R. Kawai, C. Van den Broeck, P. Hänggi, Europhys. Lett. 45, 545 (1999)

    Article  ADS  Google Scholar 

  25. S.E. Mangioni, R.R. Deza, H.S. Wio, Phys. Rev. E 63, 041115 (2001)

    Article  ADS  Google Scholar 

  26. S.E. Mangioni, R.R. Deza, H.S. Wio, Phys. Rev. E 66, 051106 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  27. H.S. Wio, S.E. Mangioni, R.R. Deza, Physica D 168–169, 184 (2002)

    Article  Google Scholar 

  28. S.E. Mangioni, R.R. Deza, H.S. Wio, in Instabilities and nonequilibrium structures IX, edited by O. Descalzi, J. Martínez, S. Rica (Kluwer, Dordrecht, 2004), pp. 185–194

  29. H.S. Wio, in 22nd International Conference on Noise and Fluctuations (ICNF) (IEEE, Piscataway, NJ, 2013)

  30. C.W. Gardiner, Handbook of stochastic methods, 4th edn. (Springer, Berlin, 2009)

  31. M. San Miguel, R. Toral, in Instabilities and nonequilibrium structures VI, edited by E. Tirapegui, J. Martínez, R. Tiemann (Springer, Dordrecht, 2000), pp. 35–127

  32. M. Das, D. Mondal, D.S. Ray, Phys. Rev. E 86, 041112 (2012)

    Article  ADS  Google Scholar 

  33. D.N. Guerra, A.R. Bulsara, W.L. Ditto, S. Sinha, K. Murali, P. Mohanty, Nano Lett. 10, 1168 (2010)

    Article  ADS  Google Scholar 

  34. G.S. Snider, P.J. Kuekes, IEEE Trans. Nanotech. 5, 129 (2006)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Julián I. Peña Rosselló.

Additional information

Contribution to the Topical Issue “The Physics of Micro-Energy Use and Transformation”, edited by Luca Gammaitoni.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Peña Rosselló, J.I., Deza, R.R. & Wio, H.S. Coupled Brownian motors. Eur. Phys. J. B 91, 103 (2018). https://doi.org/10.1140/epjb/e2018-80624-9

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2018-80624-9

Navigation