Abstract
A closed chemical system which is not in thermodynamic equilibrium will tend to relax asymptotically toward such a state as soon as the existing constraints are removed (e.g., when contact between the components is established, or, in an electrochemical system, when a galvanic cell circuit is closed). The resulting transient can be either purely monotonie, which is the most common behavior, or the system in its relaxation to equilibrium can pass through an infinite or a finite number of maxima and minima. However, in the latter case, the amplitude diminishes steadily with time, and it has been proved by the methods of irreversible thermodynamics that, in a closed system, sustained oscillations can occur neither around the equilibrium,1 nor for appreciable displacements from it, i.e. βin the large.β2
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References
Prigogine, Thermodynamics of Irreversible Processes, Wiley, New York, 1955.
D. Shear, J. Theoret. Biol. 16 (1967) 212.
V. Volterra, Theorie mathΓ©matique de la lutte pour la vie, Gautiers-Villars, Paris, 1931.
Kolebatelnye processy v biologiceskich i chimiceskich sistemach (Oscillating Processes in Biological and Chemical Systems), Izd. Nauka, Moscow, 1967.
J. M. Douglas and N. Y. Gaitonde, Ind. Eng. Chem. Fundamentals 6 (1967) 265.
J. M. Douglas and D. W. T. Rippin, Chem. Eng. Sci. 21 (1966) 305.
Fechner, Schweigg. J. 53 (1828) 141.
E. S. Hedges and J. E. Meyers, The Problem of Physicochemical Periodicity, Arnold, London, 1926.
F. Flade, Z. phys. Chem. 76 (1911) 513.
U. F. Franck, Z. Elektrochem. 54 (1950) 540.
W. Fraenkel and H. Heinz, Z. anorg. Chem. 133 (1924) 167.
K. F. Bonhoeffer and U. F. Franck, Z. Elektrochem. 55 (1951) 180.
J. H. Bartlett and J. Stephenson, J. Electrochem. Soc. 99 (1952) 504.
U. F. Franck, Z. phys. Chem. N.F. 3 (1954) 183.
U. F. Franck, Z. Elektrochem. 62 (1958) 649.
U. F. Franck and R. FitzHugh, Z. Elektrochem. 65 (1961) 156.
K. F. Bonhoeffer and G. Langhammer, Z. Elektrochem. 51 (1948) 29.
K. F. Bonhoeffer, E. Brauer, and G. Langhammer, Z. Elektrochem. 51 (1948) 60.
K. F. Bonhoeffer and G. Langhammer, Z. Elektrochem. 51 (1948) 67.
K. F. Bonhoeffer and H. Genscher, Z. Elektrochem. 52 (1948) 149.
R. S. Cooper and J. M. Bartlett, J. Electrochem. Soc. 105 (1958) 109.
L. Meunier, C. R. III RΓ©union du CITCE 1952, 247.
L. Meunier, C. R. II RΓ©union du CITCE 1951, 242.
L. Meunier and G. Germain, C. R. III RΓ©union du CITCE 1952, 263.
F. FΓΆrster and F. KrΓΌger, Z. Elektrochem. 33 (1927) 406.
H. Lal, H. R. Thirsk, and W. F. K. Wynne-Jones, Trans. Faraday Soc. 47 (1951) 999.
T. P. Hoar and J. A. S. Mowat, Nature 165 (1950) 64.
A. Dmitriev and E. V. Rzhevskaya, Zh. Fiz. Chim. 35 (1961) 871.
B. Pointu, Electrochim. Acta 14 (1969) 1207, 1213.
M. T. Francis and W. H. Colmer, J. Electrochem. Soc. 97 (1950) 237.
A. M. Shams El Din and F. M. Abd El Wahab, Electrochim. Acta 9 (1964) 883.
D. Gilroy and B. E. Conway, J. Phys. Chem. 69 (1965) 1259.
H. Wroblowa, V. Brusic, and J. OβM. Bockris, J. Phys. Chem. 75 (1971) 2823.
N. Hackerman, Z. Elektrochem. 62 (1950) 632.
A. R. Piggott, H. Leckie, and L. L. Shreir, Corrosion Sci. 5 (1965) 165.
J. L. Rosenfeld and I. P. Danilov, Corrosion Sci. 7 (1967) 129.
J. L. Rosenfeld and V. P. Maksimtchuk, Z. phys. Chem. 215 (1960) 25.
Z. Szklarska-Smialowska and M. Janik-Czachor, Br. Corros. J. 4 (1969) 138.
U. F. Franck and L. Meunier, Z. Naturforsch. 8b (1953) 396.
R. S. Indira, S. K. Rangarajan, and K. S. G. Doss, J. Electroanal. Chem. 21 (1969) 57.
M. Thalinger and M. Volmer, Z. phys. Chem. 150 (1930) 401.
G. Armstrong and J. A. V. Butler, Disc. Faraday Soc. 1 (1947) 122.
D. T. Sawyer and E. T. Seo, J. Electroanal, Chem. 5 (1963) 23.
E. MΓΌller, Z. Elektrochem. 29 (1923) 264.
E. MΓΌller and G. Hindemith, Z. Elektrochem. 33 (1927) 561.
E. MΓΌller and S. Tanaka, Z. Elektrochem. 34 (1928) 256.
J. Wojtowicz, N. Marincic, and B. E. Conway, J. Chem. Phys. 48 (1968) 4333.
T. O. Pavela, Suomen Kemistilehti 30 (1957) 138.
R. P. Buck and L. R. Griffith, J. Electrochem. Soc. 109 (1962) 1005.
J. A. Shropshire, Electrochim. Acta 12 (1967) 253.
S. Gilman, J. Phys. Chem. 67 (1963) 1898.
H. F. Hunger, J. Electrochem. Soc. 115 (1968) 492.
B. E. Conway and M. Dzieciuch, Nature 189 (1961) 914.
F. Haber, Z. Elektrochem. 7 (1901) 634.
A. Ya. Gochstien and A. N. Frumkin, Doklady Akad. Nauk SSSR 132 (1960) 388.
A. N. Frumkin, O. A. Petrii, and N. W. Nikolaeva-Fedorovich, Doklady Akad. Nauk SSSR 133 (1961) 1158.
R. De Levie, J. Electroanal. Chem. 25 (1970) 257.
M. Clarke and J. A. Bernie, Electrochim. Acta 12 (1967) 205.
M. N. Hull and F. A. Lewis, Trans. Faraday Soc. 64 (1968) 2472.
L. Gougerot and R. Alfieri, J. chim. phys. 61 (1964) 843.
L. Gougerot and R. Alfieri, J. chim. phys. 54 (1957) 514.
S. Szpak, Electrochim. Acta 13 (1968) 483.
M. L. Bhaskara Rao, J. Electrochem. Soc. 114 (1967) 665.
L. Meunier, C. R. III RΓ©union du CITCE 1952, 3.
H. Degn, Trans. Faraday Soc. 64 (1968) 1348.
D. Posadas, A. J. Arvia, and J. J. Podesta, Electrochim. Acta 16 (1971) 1041.
T. Teorell, Acta Soc. Med. Upsaliensis 62 (1957) 60.
V. E. Shashua, Nature 215 (1967) 846.
A. Katchalsky and R. Spangler, Quart. Rev. Biophys. 1 (1968) 127.
A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillators, Pergamon, London, 1966.
N. Minorsky, Nonlinear Oscillations, Van Nostrand, Princeton, N.J., 1962.
N. Minorsky, Introduction to Nonlinear Mechanics, Edwards, Ann Arbor, Mich., 1947.
N. Kryloff and N. Bogoliuboff, Introduction to Nonlinear Mechanics (free transl. by S. Lefschetz), Princeton Univ. Press, Princeton, N.J., 1947.
R. A. Struble, Nonlinear Differential Equations, McGraw-Hill, New York, 1962.
S. Ziemba, Vibration Analysis, Part III. Nonlinear Vibrations, PWN, Warsaw, 1970.
W. Hurewicz, Lectures on Ordinary Differential Equations, Wiley, New York, 1958.
J. Higgins, Ind. Eng. Chem. 59 (1967) 18.
D. A. Frank-Kamenetskii, Diffusion and Heat Exchange in Chemical Kinetics, Plenum Press, New York, 1969.
K. J. Vetter, Electrochemical Kinetics, Academic, New York, 1967.
M. N. Hull and F. A. Lewis, Trans. Faraday Soc. 64 (1968) 2472.
K. F. Bonhoeffer, Z. Elektrochem. 52 (1948) 24.
J. Lotka, J. Am. Chem. Soc. 42 (1920) 1595.
D. A. Frank-Kamenetskii and J. E. Salnikov, Zh. Fiz. Khim. 17 (1943) 79.
G. Nicolis, Stability and dissipative structures in open systems, in Advances in Chemical Physics, Vol. 19, Wiley-Interscience, New York, 1971.
S. Szpak and E. R. Rice, J. Chem. Phys. 52 (1970) 6336.
R. Rosebrugh and W. Lash-Miller, J. Phys. Chem. 14 (1910) 816.
J. Wojtowicz, Prace Naukowe Politechniki Warszawskiej, Chemia No. 4 (1969) (Warsaw Technical University Publications, Warsaw).
J. Wojtowicz and B. E. Conway, J. Chem. Phys. 52 (1970) 1407.
H. Wroblowa, J. OβM. Bockris, and B. Piersma, J. Electroanal. Chem. 6 (1963) 401.
J. Wojtowicz, D. Gilroy, and B. E. Conway, Electrochim. Acta 14 (1969) 1119.
O. Kadern and A. Katchalsky, Trans. Faraday Soc. 59 (1963) 1918.
Yu. A. Cizmadzev, Boklady Akad. Nauk SSSR 133 (1960) 1136.
J. Osterwald and H. G. Feller, J. Electrochem. Soc. 107 (1960) 473.
J. Osterwald, Electrochim. Acta 7 (1962) 523.
R. De Levie and A. A. Husovsky, J. Electroanal. Chem. 22 (1969) 29.
R. De Levie and L. Pospisil, J. Electroanal. Chem. 22 (1969) 277.
H. Moreira and R. De Levie, J. Electroanal. Chem. 29 (1971) 353.
H. W. Bode, Network Analysis and Feedback Amplifier Design, Van Nostrand, Princeton, N.J., 1959, p. 187.
W. H. Middendorf, Analysis of Electric Circuits, Wiley, New York, 1956, p. 212.
W. Schwenk, Electrochim. Acta 5 (1961) 301.
R. B. Llewellyn, Proc. IRE 21 (1933) 1532.
R. A. Spangler and F. M. Snell, J. Theoret. Biol 16 (1967) 366.
F. Gutmann, J. Electrochem. Soc. 112 (1965) 94.
I. Epelboin, Compt. Rend. 234 (1952) 950.
H. Genscher and W. Mehl, Z. Elektrochem. 59 (1955) 1049.
D. Schuhmann, J. chim. phys. 60 (1963) 359.
D. Schuhmann, J. Electroanal. Chem. 17 (1968) 45.
R. Tamamushi, J. Electroanal. Chem. 11 (1966) 65.
R. Tamamushi and K. Matsuda, J. Electroanal. Chem. 12 (1966) 436.
B. Jakuszewski and M. Turowska, Rocz. Chemii 43 (1969) 2003.
N. Tanaka and R. Tamamushi, in Proc. 1st Australian Conf. on Electrochemistry, Pergamon, Oxford, 1964, p. 248.
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Wojtowicz, J. (1972). Oscillatory Behavior in Electrochemical Systems. In: Bockris, J.O., Conway, B.E. (eds) Modern Aspects of Electrochemistry. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7440-8_2
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