CrossRef enabled

PAC Archives

Archive →

Pure Appl. Chem., 2011, Vol. 83, No. 2, pp. 253-257

http://dx.doi.org/10.1351/PAC-CON-10-07-10

Published online 2010-11-02

Gibbs fluctuation theory in the context of electrochemical equilibrium noise

Boris M. Grafov

A. N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, 31 Leninskii Prospekt, Moscow 119991, Russia

References

  • 1. A. M. Kuznetsov, Y. Ulstrup. Electron Transfer in Chemistry and Biology: An Introduction to the Theory, John Wiley, Chichester (1999).
  • 2. N. V. Brilliantov, T. Poschel. Kinetic Theory of Granular Gases, Oxford University Press, Oxford (2006).
  • 3. G. Gallavotti, F. Bonetto, G. Gentile. Aspects of the Ergodic, Qualitative and Statistical Theory of Motion, Springer, Berlin (2004).
  • 4. Sh. Kogan. Electronic Noise and Fluctuations in Solids, Cambridge University Press, Cambridge (1996).
  • 5. F. Bonani, G. Ghione. Noise in Semiconductor Devices, Springer, Berlin (2001).
  • 6. R. Klages, G. Radons, I. M. Sokolov. Anomalous Transport, Wiley-VCH, (2008).
  • 7. R. Mazo. Brownian Motion: Fluctuations, Dynamics and Applications, Oxford University Press, Oxford (2002).
  • 8. A. A. Dubkov, P. Hanggi, I. Goychuk. J. Stat. Mech. P01034 (2009). (http://dx.doi.org/10.1088/1742-5468/2009/01/P01034)
  • 9. W. T. Coffey, Yu. P. Kalmykov, J. T. Waldron. The Langevin Equation, World Scientific, Singapore (2004).
  • 10. R. L. Stratonovich. Nonlinear Nonequilibrium Thermodynamics I, Springer, Berlin (1992).
  • 11. G. N. Bochkov, Yu. E. Kuzovlev. Physica A 106, 443 (1981). (http://dx.doi.org/10.1016/0378-4371(81)90122-9)
  • 12. C. Jarzynski. Phys. Rev. Lett. 78, 2690 (1997). (http://dx.doi.org/10.1103/PhysRevLett.78.2690)
  • 13. G. E. Crooks. Phys. Rev. E 60, 2721 (1999). (http://dx.doi.org/10.1103/PhysRevE.60.2721)
  • 14. G. E. Crooks. Phys. Rev. E 61, 2361 (2000). (http://dx.doi.org/10.1103/PhysRevE.61.2361)
  • 15. L. Bertini, D. Gabrielli, J. L. Lebowitz. J. Stat. Phys. 121, 843 (2005). (http://dx.doi.org/10.1007/s10955-005-5527-2)
  • 16. L. Gammaitoni, P. Hanggi, P. Jung, F. Marchesoni. Rev. Mod. Phys. 70, 223 (1998). (http://dx.doi.org/10.1103/RevModPhys.70.223)
  • 17. J. R. Kearns, D. A. Eden, M. R. Yaffe, J. V. Fahey, D. L. Reichert, D. C. Silverman. Electrochemical Noise Measurement for Corrosion Applications, ASTM PCN 04-012770-27, West Conshohocken (1996).
  • 18. E. Barsukov, J. R. Macdonald. Impedance Spectroscopy: Theory, Experiment, and Applications, Wiley-Interscience, New York (2005).
  • 19. H. Nyquist. Phys. Rev. 32, 110 (1928). (http://dx.doi.org/10.1103/PhysRev.32.110)
  • 20. B. M. Grafov. Russ. J. Electrochem. 39, 999 (2003). (http://dx.doi.org/10.1023/A:1025736323804)
  • 21. B. M. Grafov. Fluctuation Noise Lett. 4, L617 (2004). (http://dx.doi.org/10.1142/S0219477504002245)
  • 22. R. C. Tolman. The Principles of Statistical Mechanics, Dover, New York (1979).
  • 23. R. F. Greene, H. B. Callen. Phys. Rev. 83, 1231 (1951). (http://dx.doi.org/10.1103/PhysRev.83.1231)
  • 24. L. D. Landau, E. M. Lifshitz. Statistical Physics, Pergamon, Oxford (1958).
  • 25. N. G. van Kampen. Stochastic Processes in Physics and Chemistry, North Holland, Amsterdam (1981).
  • 26. H. B. Callen, T. A. Welton. Phys. Rev. 83, 34 (1951). (http://dx.doi.org/10.1103/PhysRev.83.34)
  • 27. G. N. Bochkov, V. Gorokhov. Int. J. Bifurcation Chaos 18, 2753 (2008). (http://dx.doi.org/10.1142/S021812740802197X)
  • 28. G. E. Uhlenbeck, L. S. Ornstein. Phys. Rev. 36, 823 (1930). (http://dx.doi.org/10.1103/PhysRev.36.823)
  • 29. G. N. Bochkov, A. L. Orlov. Elektrokhimiya 22, 1631 (1986).