Abstract
The impedance spectroscopy technique was used for theoretical studies of the conditions of appearance of Hopf instability and saddle-node instability in a model electrochemical system with a preceding homogeneous chemical reaction in the Nernst diffusion layer and electrocatalytic reaction on the surface of a cylindrical electrode under potentiostatic conditions. It is shown that the value of the ohmic resistance parameter in the system can affect the number of bifurcation points and bifurcation frequency. An increase in the ohmic resistance parameter results in the narrowing of the region of Hopf bifurcation giving rise to spontaneous periodical current oscillations and expansion of the region of saddle-node instability leading to bistability. There are threshold values of the ohmic resistance parameters critical for appearance and disappearance of the dynamic instabilities under consideration.
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Grafov, B.M. and Ukshe, E.A., Kinetika slozhnykh elektrokhimicheskikh reaktsii (Kinetics of Complex Electrochemical Reactions), Moscow: Nauka, 1981, pp. 7–49.
Stoinov, Z.B., Grafov, B.M., Savova-Stoinova, B., and Elkin, V.V., Elektrokhimicheskii impedans (Electrochemical Impedance), Moscow: Nauka, 1991.
Wolf, W., Lubke, M., Koper, M.T.M., Krischer, K., Eiswirth, M., and Ertl, G., J. Electroanal. Chem., 1995, vol. 399, p. 185.
Strasser, P., Lubke, M., Raspel, F., Eiswirth, M., and Ertl, G., J. Chem. Phys., 1997, vol. 107, p. 979.
Koper, M.T.M., Adv. Chem. Phys., 1996, vol. 92, p. 161.
Koper, M.T.M., J. Chem. Soc., Faraday Trans., 1998, vol. 94, p. 1369.
Strasser, P., Eiswirth, M., and Koper, M.T.M., J. Electroanal. Chem., 1999, vol. 478, p. 50.
Naito, M., Tanaka, N., and Okamoto, H., J. Chem. Phys., 1999, vol. 111, p. 9908.
Malkhandi, S., Bauer, P.R., Bonnefont, A., and Krischer, K., Catal. Today, 2013, vol. 202, p. 144.
Du, Z., Gao, Q., Feng, J., Lu, Y., and Wang, J., J. Phys. Chem. B, 2006, vol. 110, p. 26098.
Malkhandi, S., Bonnefont, A., and Krischer, K., Electrochem. Commun., 2005, vol. 7, p. 710.
Raspel, F. and Eiswirth, M., J. Phys. Chem., 1994, vol. 98, p. 7613.
Raspel, F., Nichols, R.J., and Kolb, D.M., J. Electroanal. Chem., 1990, vol. 286, p. 279.
Damaskin, B.B., Safonov, V.A., and Baturina, O.A., Russ. J. Electrochem., 1997, vol. 33, p. 105.
Damaskin, B.B. and Safonov, V.A., Russ. J. Electrochem., 2005, vol. 41, p. 253.
Frumkin, A.N., Z. Phys. Chem., 1925, vol. 116, p. 466.
Koper, M.T.M. and Sluyters, J.H., J. Electroanal. Chem., 1994, vol. 371, p. 149.
Berthier, F., Diard, J.-P., and Montella, C., Electrochim. Acta, 1999, vol. 44, p. 2397.
Pototskaya, V.V., Gichan, O.I., Omelchuk, A.A., and Volkov, S.V., Russ. J. Electrochem., 2008, vol. 44, p. 594.
Pototskaya, V.V., Gichan, O.I., and Omelchuk, A.A., Russ. J. Electrochem., 2010, vol. 46, p. 494.
Pototskaya, V.V. and Gichan, O.I., Russ. J. Electrochem., 2011, vol. 47, p. 336.
Pototskaya, V.V. and Gichan, O.I., Russ. J. Electrochem., 2012, vol. 48, p. 154.
Gichan, O.I. and Pototskaya, V.V., Electrochim. Acta, 2013, vol. 112, p. 957.
Wolfram, S., MathematicaTM, Redwood City: Addison Wesley, 1988.
Gokhshtein, A.Ya., Dokl. Akad. Nauk SSSR, 1961, vol. 140, p. 1114.
Takens, F., Comm. Math. Inst., 1974, vol. 2, p. 1.
Bogdanov, R., Sel. Math. Sov., 1981, vol. 1, p. 373.
Koper, M.T.M., Electrochim. Acta, 1992, vol. 37, p. 1771.
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Original Russian Text © V.V. Pototskaya, O.I. Gichan, 2014, published in Elektrokhimiya, 2014, Vol. 50, No. 11, pp. 1123–1134.
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Pototskaya, V.V., Gichan, O.I. Role of ohmic losses in appearance of dynamic instabilities in model electrochemical system with cylindrical electrode under potentiostatic conditions. Russ J Electrochem 50, 1009–1019 (2014). https://doi.org/10.1134/S1023193514110081
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DOI: https://doi.org/10.1134/S1023193514110081