Abstract
Noise method for the analyzing of thermodynamic second-order fluctuations of the electrical double layer charge in complicated electrochemical systems is developed. The method is based on the joint application of the Nyquist fluctuation-dissipation theorem and Laplace transform. Second-order fluctuations of the free charge in the electrical double layer are studied under the conditions when the weak-signal faradaic impedance of equilibrated electrode is determined by the diffusion impedance, alongside with the slow-discharge resistance. It is shown that, unlike the high-order fluctuations, the level of thermodynamic second-order fluctuations of the free charge does not depend on the mechanism of interaction of the thermodynamic system with thermostat; it fully corresponds to the conceptions of the Gibbs statistical thermodynamics.
Similar content being viewed by others
References
Landau, L.D. and Lifshitz, E.M., Statisticheskaya fizika (Statistical Physics), Moscow: Nauka, 1964.
Levich, V.G., Vvedenie v statisticheskuyu fiziku (Introduction to Statistical Physics), Moscow: Gostekhteoretizdat, 1954.
Tolman, R.T., The Principles of Statistical Mechanics, New York: Dover Publications, Inc, 1979.
Callen, H.B. and Welton, T.A., Phys. Rev., 1951, vol. 83, p. 34.
Nyquist, H., Phys. Rev., 1928, vol. 32, p. 110.
Grafov, B.M., Russ. J. Electrochem, 2005, vol. 41, p. 113.
Grafov, B.M., Fluctuation and Noise Lett., 2006, vol. 6.
Markus, R.A., in Osnovnye voprosy sovremennoi teoreticheskoi elektrokhimii, (Principal Problems of Modern Theoretical Electrochemistry), Frumkin, A.N., Ed., Moscow: Mir, 1965, p. 11.
Ershler, B.V., Disc. Faraday Soc., 1947, vol. 1, p. 269.
Randles, J.E.B., Disc. Faraday Soc., 1947, vol. 1, p. 11.
Barker, G.C., in Osnovnye voprosy sovremennoi teoreticheskoi elektrokhimii, (Principal Problems of Modern Theoretical Electrochemistry), Frumkin, A.N., Ed., Moscow: Mir, 1965, p. 42.
Grafov, B.M., Russ. J. Electrochem., 1993, vol. 29, 1290.
Coffey, W.T., Kalmykov, Yu.P., and Waldron, J.T., The Langevin Equation, New Jersey: World Sci., 2004.
Frumkin, A.N., Potentsialy Nulevogo Zaryada (Zero-Charge Potentials), Moscow: Nauka, 1979.
Ginzburg, V.L., Usp. Fiz. Nauk, 1954, vol. 52, p. 494.
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © B.M. Grafov, 2009, published in Elektrokhimiya, 2009, Vol. 45, No. 9, pp. 1118–1121.
Rights and permissions
About this article
Cite this article
Grafov, B.M. On the thermal fluctuations of free charge in the Ershler-Randles circuit. Russ J Electrochem 45, 1041–1044 (2009). https://doi.org/10.1134/S1023193509090092
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1023193509090092