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Fluctuation–Dissipation Theorem for Triple Correlations of Electric Noise

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Abstract

Electric fluctuation and noise accompany all electrode processes and can be employed for creating useful information technologies. Severe nonlinearity of electrochemical systems gives rise to a perceptible component of abnormal (non-Gaussian) electric noise. In this paper a fluctuation–dissipation theorem is formulated, which connects third-order noise spectra with faradaic low-level rectification. An analogue is provided: the Schottky formulas for the spectrum of third-order shot noise.

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References

  1. Marcus, R.A., J. Chem. Phys., 1956, vol. 24, p. 966.

    Google Scholar 

  2. Dogonadze, R.R., in Reactions of Molecules at Electrodes, Hush, N.S., Ed., London: Wiley Interscience, 1971, p. 135.

    Google Scholar 

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

  4. Nyquist, H., Phys. Rev., 1928, vol. 32, p. 97.

    Google Scholar 

  5. Callen, H.B. and Welton, N.A., Phys. Rev., 1951, vol. 83, p. 34.

    Google Scholar 

  6. Callen, H.B. and Greene, R.F., Phys. Rev., 1952, vol. 86, p. 702.

    Google Scholar 

  7. Khaus, G. and Adler, R., Teoriya lineinykh shumyashchikh tsepei (Theory of Linear Noise-Generating Circuits), Moscow: Izdatel'stvo Inostrannoi Literatury, 1963.

    Google Scholar 

  8. Malakhov, A.I., Kumulyantnyi analiz sluchainykh negaussovskikh protsessov i ikh preobrazovanii (A Cumulant Analysis of Random Non-Gaussian Processes and Their Transforms), Moscow: Sovetskoe Radio, 1978.

    Google Scholar 

  9. Brillinger, D.R., Ann. Math. Statistics, 1965, vol. 36, p. 1351.

    Google Scholar 

  10. Dawson, J.L., Proc. First Int. Symp. Electrochem. Noise Measurement for Corrosion Applications, Montreal: West Conshohecken, 1996, p. 3.

    Google Scholar 

  11. Bernard, W. and Callen, H.B., Reviews of Modern Physics, 1959, vol. 31, p. 1017.

    Google Scholar 

  12. Kampen, N.G., J. Math. Phys., 1962, vol. 4, p. 190.

    Google Scholar 

  13. Efremov, G.F., Zh. Exp. Teor. Fiz., 1968, vol. 54, p. 2322.

    Google Scholar 

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

    Google Scholar 

  15. Stratonovich, R.L., Nelineinaya neravnovesnaya termodinamika (Nonlinear Nonequilibrium Thermodynamics), Moscow: Nauka, 1985, p. 114.

    Google Scholar 

  16. Weiss, L. and Mathis, W., Int. J. Circ. Theor. Appl, 1998, vol. 26, p. 147.

    Google Scholar 

  17. Stoynov, Z.B., Grafov, B.M., Savova-Stoynova, B.S., and Elkin, V.V., Elektrokhimicheskii impedans (The Electrochemical Impedance), Moscow: Nauka, 1991, p. 262.

    Google Scholar 

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Authors and Affiliations

  1. Frumkin Institute of Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119071, Russia

    B. M. Grafov

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  1. B. M. Grafov
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Grafov, B.M. Fluctuation–Dissipation Theorem for Triple Correlations of Electric Noise. Russian Journal of Electrochemistry 39, 423–426 (2003). https://doi.org/10.1023/A:1023326509725

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