Skip to main content
Log in

On the applying of fluctuation theorems to the theory of slow discharge in galvanostatic regime

  • Short Communications
  • Published:
Russian Journal of Electrochemistry Aims and scope Submit manuscript

Abstract

Expressions for the equation of slow discharge in galvanostatic regime are drawn, as power expansion with respect to overvoltage, in terms of the Bochkov-Kuzovlev and Jarzynski fluctuation theorems combined with the Stratonovich relations for nonlinear nonequilibrium thermodynamics. Coefficients of the expansion are linear functions of the intensities of cumulant correlation functions that characterize the electrode potential fluctuations.

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.

References

  1. Kuznetsov, A.M. and Ulstrup, J., Electrochim. Acta, 2001, vol. 46, p. 3325.

    Article  CAS  Google Scholar 

  2. Marcus, R.A., J. Electroanal. Chem., 2000, vol. 483, p. 2.

    Article  CAS  Google Scholar 

  3. Krishtalik, L.I., Elektrodnye reaktsii. Mekhanizm elementarnogo akta (Electrode Reactions. Mechanism of Elementary Act), Moscow: Nauka, 1982.

    Google Scholar 

  4. Dogonadze, R.R. and Chizmadzhev, Yu.A., Dokl. AN SSSR, Fiz. Khimiya, 1962, vol. 144, p. 1077.

    CAS  Google Scholar 

  5. Bochkov, G.N. and Kuzovlev, Yu.E., Zh. Eksp. Teor. Fiz., 1977, vol. 72, p. 238.

    Google Scholar 

  6. Bochkov, G.N., Fluktuatsii v neravnovesnykh radiofizicheskikh sistemakh (Fluctuations in Nonequilibrium Radiophysical Systems), Gorky: Gorky Gos. Univ., 1981.

    Google Scholar 

  7. Jarzynski, C., Phys. Rev. Lett., 1997, vol. 78, p. 2690.

    Article  CAS  Google Scholar 

  8. Stratonovich, R.L., Nelineinaya neravnovesnaya termodinamika (Nonlinear Nonequilibrium Thermodynamics), Moscow: Nauka, 1985.

    Google Scholar 

  9. Stratonovich, R.L., Nonlinear Nonequilibrium Thermodynamics I. Linear and Nonlinear Fluctuation-Dissipation Theorems, Berlin: Springer, 1992.

    Google Scholar 

  10. Frumkin, A.N., Potentsialy Nulevogo Zaryada (Zero-Charge Potentials), Moscow: Nauka, 1979.

    Google Scholar 

  11. Jarzynski, C., J. Stat. Phys., 2000, vol. 98, p. 77.

    Article  Google Scholar 

  12. Zwanzig, R., J. Chem. Phys., 1954, vol. 22, p. 1420.

    Article  CAS  Google Scholar 

  13. Malakhov, A.N., Kumulyantnyi analiz sluchainykh negaussovykh protsessov i ikh preobrazovanii (Cumulant Analysis of Stochastic Processes and Their Transformations), Moscow: Sov. Radio, 1978.

    Google Scholar 

  14. Crooks, G., J. Stat. Phys., 1998, vol. 90, p. 1481.

    Article  Google Scholar 

  15. Sughiyama, Yu. and Abe, S., J. Stat. Mech, 2008, p. 05008.

  16. Talkner, P., Lutz, E., and Hanggi, P., Phys. Rev. E:, 2007, vol. 75, p. 050102.

    Article  Google Scholar 

  17. Talkner, P., Campisi, M., and Hanggi, P., J. Stat. Mech, 2009, p. 02025.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. M. Grafov.

Additional information

Original Russian Text © B.M. Grafov, 2010, published in Elektrokhimiya, 2010, Vol. 46, No. 8, pp. 1009–1012.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grafov, B.M. On the applying of fluctuation theorems to the theory of slow discharge in galvanostatic regime. Russ J Electrochem 46, 948–951 (2010). https://doi.org/10.1134/S1023193510080136

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1023193510080136

Key words

Navigation