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The unlikely high efficiency of a molecular motor based on active motion

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Abstract

The efficiency of a simple model of a motor converting chemical into mechanical energy is studied analytically. The model motor shows interesting properties corresponding qualitatively to motors investigated in experiments. The efficiency increases with the load and may for low loss reach high values near to 100 percent in a narrow regime of optimal load. It is shown that the optimal load and the maximal efficiency depend by universal power laws on the dimensionless loss parameter. Stochastic effects decrease the stability of motor regimes with high efficiency and make them unlikely. Numerical studies show efficiencies below the theoretical optimum and demonstrate that special ratchet profiles my stabilize efficient regimes.

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References

  1. S. Toyabe, E. Muneyuki, Biophys. Rev. 9, 91 (2013)

    Article  Google Scholar 

  2. U. Seifert, Stochastic thermodynamics, Lecture at Physical Society Berlin, January 2015

  3. M. Nishiyama, H. Higuchi, T. Yanagida, Nat. Cell. Biol. 4, 11782 (2002)

    Article  Google Scholar 

  4. T. Harada, Europhys. Lett. 70, 49 (2005)

    Article  ADS  Google Scholar 

  5. P. Romanczuk, et al., Eur. Phys. J. Special Topics 202, 1 (2012)

    Article  ADS  Google Scholar 

  6. F. Schweitzer, W. Ebeling, B. Tilch, Phys. Rev. Lett. 80, 5044 (1998)

    Article  ADS  Google Scholar 

  7. W. Ebeling, F. Schweitzer, B. Tilch, BioSystems 49, 17–29 (1999)

    Article  Google Scholar 

  8. W. Ebeling, E. Gudowska-Nowak, A. Fiasaconaro, Acta Phys. Pol. B 39, 17 (2008)

    Google Scholar 

  9. U. Erdmann, W. Ebeling, L. Schimansky-Geier, F. Schweitzer, Eur. Phys. J. B 15, 105 (2000)

    Article  ADS  Google Scholar 

  10. F. Schweitzer, Brownian agents and active particles (Springer Berlin, 2003)

  11. B. Tilch, F. Schweitzer, W. Ebeling, Phys. A 273, 293 (1999)

    Article  Google Scholar 

  12. M. Birbaumer, F. Schweitzer, Eur. Phys. J. B 82, 245 (2011)

    Article  ADS  Google Scholar 

  13. V. Garcia, M. Birbaumer, F. Schweitzer, Eur. Phys. J. B 82, 235 (2011)

    Article  ADS  Google Scholar 

  14. Yu.M. Romanovsky, A. Kargovsky, W. Ebeling, Eur. Phys. J. Special Topics 222, 2465 (2013)

    Article  ADS  Google Scholar 

  15. L. Machura, J. Luczka, P. Talkner, P. Hänggi, Acta Phys. Pol. B 38, 1855 (2007)

    ADS  Google Scholar 

  16. M. Zabicki, E. Gudowska-Nowak, W. Ebeling, Acta Phys. Pol. B 41, 1181 (2010)

    Google Scholar 

  17. M. Zabicki, W. Ebeling, E. Gudowska-Nowak, Chem. Phys. 375, 472 (2010)

    Article  ADS  Google Scholar 

  18. A. Fiasconaro, W. Ebeling, E. Gudowska-Nowak, Phys. Rev. E 87, 032111 (2013)

    Article  ADS  Google Scholar 

  19. G. Verley, M. Esposito, T. Willmert, C. Van den Broeck, Nature Comm. 5, 4721 (2014)

    Article  ADS  Google Scholar 

  20. C. Ganguly, D. Chaudury, Phys. Rev. E 88, 032102 (2013)

    Article  ADS  Google Scholar 

  21. R. Feistel, W. Ebeling, Evolution of complex systems (Kluwer, Dordrecht, 1989)

Download references

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Authors and Affiliations

  1. Institute of Physics, Humboldt University, Newtonstr. 15, 12489, Berlin, Germany

    W. Ebeling

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  1. W. Ebeling
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Correspondence to W. Ebeling.

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Ebeling, W. The unlikely high efficiency of a molecular motor based on active motion. Eur. Phys. J. Spec. Top. 224, 1395–1403 (2015). https://doi.org/10.1140/epjst/e2015-02466-y

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  • DOI: https://doi.org/10.1140/epjst/e2015-02466-y

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