Abstract
The methodology of electrochemial impedance is used for finding the characteristic function of the random time of the first encounter with the boundary by a process of electrochemical stochastic diffusion in an equilibrium ac circuit containing a double layer capacitance and a noisy charge-transfer resistance. The Nyquist diagram of the characteristic function suggests that the method of the first random encounter with the boundary by electrochemical stochastic diffusion may prove to be useful in the noise diagnosis of objects and devices of electrochemical power engineering and also in comparative studies of electrochemical corrosion processes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Taganova, A.A., Diagnostika germetichnykh khimicheskikh istochnikov toka (Diagnostics of Hermetically Sealed Power Sources), St. Petersburg: Khimizdat, 2007, vol. 128.
Nizhnikovskii, E.A., Khimicheskie istochniki avtonomnogo elektropitaniya radioelektronnoi apparatury (Chemical Sources of Autonomous Electric Feed of Radio and Electronic Devices), Moscow: MEI, 2004.
Stratonovich, R.L., Topics in the Theory of Random Noise, New York: Gordon and Breach, 1963.
Tunitskii, N.N., Kaminskii, V.A., and Timashev, S.F., Metody fiziko-khimicheskoi kinetiki (Methods of Physicochemical Kinetics), Moscow: Khimiya, 1972.
Grafov, B.M., Russ. J. Electrochem., 2012, vol. 48, p. 144.
Grafov, B.M., Russ. J. Electrochem., 2013, vol. 49, p. 850.
Grafov, B.M., Russ. J. Electrochem., 2015, vol. 51, p. 278.
Grafov, B.M. and Ukshe, E.A., Elektrokhimicheskie tsepi peremennogo toka (Electrochemical ac Circuits), Moscow: Nauka, 1973.
Lasia, A., Electrochemical Impedance Spectroscopy and its Applications, Berlin: Springer, 2014.
Pontryagin, L., Andronov, A., and Vitt, A., Zh. Eksp. Teor. Fiz., 1933, vol. 3, p. 165.
Siegert, A.J.F., Phys. Rev., 1951, vol. 87, p. 617.
Risken, H., The Fokker-Planck Equation, Berlin: Springer, 1984.
Coffey, W.T., Kalmykov, Yu.P., and Waldron, J.T., The Langevin Equation, New York: World Scientific, 2005.
Van Kampen, N.G., Stochastic Processes in Physics and Chemistry, Amsterdam: North-Holland, 1981.
Lindenberg, K., West, B.J., and Masoliver, J., in Noise in Nonlinear Dynamic Systems. vol. 1: Theory of Continuous Fokker-Planck Systems, Moss, F., McClintock, P.V.E., Eds., Cambridge: Cambr. Univ. Press, 1989.
Hanggi, P. and Talkner, P., Phys. Rev. A, 1985, vol. 32, p. 1934.
Das, A.K., Nuovo Cimento Soc. Ital. Fis., 1995, vol. 110, p. 1307.
Dubiec, B., Gudowska-Nowak, E., and Hanggi, P., Phys. Rev. E, 2006, vol. 73, p. 046104.
Rangarajan, G. and Ding, M., Phys. Rev. E, 2000, vol. 62, p. 120.
Frumkin, A.N., Potentsialy nulevogo zaryada (Zero Charge Potentials), Moscow: Nauka, 1979.
Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1972.
Ovchinnikov, A.A., Timashev, S.F., and Belyi, A.A., Kinetika diffuzionno-kontroliruemykh khimicheskikh protsessov (Kinetics of Diffusion-Controlled Chemical Processes), Moscow: Khimiya, 1986.
Das, A.K., J. Appl. Physics, 1991, vol. 70, p. 1355.
Author information
Authors and Affiliations
Corresponding author
Additional information
This paper is dedicated to the memory of academician V.A. Kistyakovskii (1865–1952).
Original Russian Text © B.M. Grafov, 2016, published in Elektrokhimiya, 2016, Vol. 52, No. 9, pp. 993–998.
Rights and permissions
About this article
Cite this article
Grafov, B.M. Theory of the first encounter with the boundary by a stochastic diffusion process in an equilibrium electrochemical RC-circuit. Russ J Electrochem 52, 885–889 (2016). https://doi.org/10.1134/S1023193516090044
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1023193516090044