Skip to main content
Log in

Efficiency at maximum power for an isothermal chemical engine with particle exchange at varying chemical potential

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

Abstract

We calculate the efficiency at maximum power (EMP) of an isothermal chemical cycle in which particle uptake occurs at a fixed chemical potential but particle release takes place at varying chemical potential. We obtain the EMP as a function of Δμ/kT, where Δμ is the difference between the highest and lowest reservoir chemical potentials and T is the absolute temperature. In the linear response limit, Δμ ≪ kT, the EMP tends to the expected universal value 1/2.

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. B. Cleuren, B. Rutten, C. Van den Broeck, Universality of efficiency at maximum power, Eur. Phys. J. Special Topics 224, 879 (2015) and other papers in the same Special Topics issue

    Article  ADS  Google Scholar 

  2. C. Van den Broeck, Thermodynamic efficiency at maximum power, Phys. Rev. Lett. 95, 190602 (2005)

    Article  ADS  Google Scholar 

  3. M. Esposito, K. Lindenberg, C. Van den Broeck, Universality of efficiency at maximum power, Phys. Rev. Lett. 102, 130602 (2009)

    Article  ADS  Google Scholar 

  4. C. Van den Broeck, Efficiency at maximum power in the low-dissipation limit, Europhys. Lett. 101, 10006 (2013)

    Article  ADS  Google Scholar 

  5. For a historical perspective, see M. Moreau, Y. Pomeau, Carnot principle and its generalizations: A very short story of a long journey, Eur. Phys. J. Special Topics 224, 769 (2015)

    Article  ADS  Google Scholar 

  6. For a historical perspective, see A. Calvo Hernandez, J.M.M. Roco, A. Medina, S. Velasco, L. Guzman-Vargas, The maximum power efficiency 1 − √_τ: Research, education, and bibliometric relevance, Eur. Phys. J. Special Topics 224, 809 (2015)

    Article  ADS  Google Scholar 

  7. C. Van den Broeck, N. Kumar, K. Lindenberg, Efficiency of Isothermal Molecular Machines at Maximum Power, Phys. Rev. Lett. 108, 210602 (2012)

    Article  ADS  Google Scholar 

  8. F. Curzon, B. Ahlborn, Efficiency of a Carnot engine at maximum power output, Am. J. Phys. 43, 22 (1975)

    Article  ADS  Google Scholar 

  9. L. Chen, C. Sun, C. Wu, J. Yu, Performance characteristic of isothermal chemical engines, Energy Convers. Manage. 38, 1841 (1997)

    Article  Google Scholar 

  10. H. Hooyberghs, B. Cleuren, A. Salazar, J.O. Indekeu, C. Van den Broeck, Efficiency at maximum power of a chemical engine, J. Chem. Phys. 139, 134111 (2013) [See also the Publisher’s note, J. Chem. Phys. 140, 209901 (2014)]

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Joseph. O. Indekeu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Koning, J., Koga, K. & Indekeu, J.O. Efficiency at maximum power for an isothermal chemical engine with particle exchange at varying chemical potential. Eur. Phys. J. Spec. Top. 226, 427–431 (2017). https://doi.org/10.1140/epjst/e2016-60200-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2016-60200-8

Navigation