Application of the Kullback measure for estimation of long-term variations in voltage fluctuations on the electrolytic cell

Authors: Morozov A.N. Published: 11.09.2013
Published in issue: #3(50)/2013  

Category: Physics  
Keywords: voltage fluctuations, electrolytic cell, temperature, the Kullback measure, dispersion, correlation coefficient, amplitude spectrum

The results of processing of long-term recordings of voltage fluctuations on electrolytic cells at two independent experimental setups are given. It is shown that the correlation coefficient of values of the Kullback measures of voltage fluctuations at the zero time shifts has the statistically significant value. The insignificant negative correlation is found between recordings of the mean Kullback measures for the two setups and variations in ambient temperature. The amplitude spectrum of mean values of the Kullback measures has the statistically significant spectral line for a period of about 25 days. No correlations were noted between the values of the Kullback measures of voltage fluctuations and the temperatures of the setups, atmospheric pressure fluctuations, cosmic neutron flux, and solar activity. A conclusion is drawn on the necessity of improving the sensitivity of the setups and conducting the check measurements.


[1] Hooge F.N., Gaal J.L. Fluctuations with a 1/f spectrum in the conductance of ionic solutions and in the voltage of concentration cells. Philips Res. Rep., 1971, vol. 26, no. 2, pp. 77-90.

[2] Berg R.J., Devos A., Degoede J. Electrical noise in solutions of hydrochloric acid in ethanol. Phys. Lett. A, 1989, vol. 139, nos. 5-6, pp. 249-252.

[3] Bezrukov S.M., Pustovoit M.A., Sibilev A.I., Drabkin G.M. Large-scale conductance fluctuations in solutions of strong electrolytes. Appl. Phys. B: Lasers Opt., 1989, vol. 159, no. 3. pp. 388-398.

[4] Bochkov G.N., Kuzovlev Yu.E. New aspects in 1/f noise studies. Sov. Phys. Usp., 1983, vol. 26, no. 9, pp. 829-854. doi:10.1070/PU1983v026n09ABEH004497

[5] Bezrukov S.M., Irkhin A.I., Sibilev A.I. Verkhnyaya otsenka dlya intensivnosti 1/f -shuma elektrolitov: eksperimenty s molekulyarnymi kanalami [The upper estimate for the 1/f-noise intensity of electrolytes by means of experiments with molecular channels]. Prepr. Nucl. Phys. Inst., no. 1190, Leningrad, 1986. 18 p.

[6] Morozov A.N., Turchaninov S.O. The diffusion coefficient macroscopic fluctuations and low frequency noise in electrolytes. Biofizika [Biophys.], 1992, vol. 37, no. 4, pp. 667-668 (in Russ.).

[7] Korotaev S.M., Morozov A.N., Serdyuk V.O., Sorokin M.O. Macroscopic nonlocality in some natural dissipative processes. Izv. Vyssh. Uchebn. Zaved., Fizika. [Bull. Inst. Higher Educ., Physics], 2002, no. 5, pp. 3-14 (in Russ.).

[8] Korotaev S.M., Morozov A.N., Serdyuk V.O., Machinin V.A., Gorokhov J.V., Machinin V.A. Experimental study of macroscopic nonlocality of large-scale natural dissipative processes. NeuroQuantology, 2005, no. 4, pp. 275-294.

[9] Morozov A.N. Neobratimye protsessy i brounovskoe dvizhenie: Fiziko-tekhnicheskie problem [Irreversible processes and Brownian motion: Physical and technical problems]. Moscow, MGTU im. N.E. Baumana Publ., 1997. 332 p.

[10] Klimontovich Yu.L. Statisticheskaya fizika [Statistical physics]. Moscow, Nauka Publ., 1982. 608 p.

[11] Morozov A.N. Preliminary results of measurements of the Kullback measure of voltage fluctuations on the electrolytic cell. Vestn. Mosk. Gos. Tekh. Univ. im. N.E. Baumana, Estestv. Nauki [Herald of the Bauman Moscow State Tech. Univ., Nat. Sci.], 2011, no. 2, pp. 16-24 (in Russ.).

[12] Kullback S., Leibler R.A. On information and sufficiency. Ann. Math. Statist., 1951, vol. 22, pp. 79-86.

[13] Kullback S. Information theory and statistics, New York, John Wiley & Sons, 1959. 395 p. (Russ. ed.: Kul’bak S. Teoriya informatsii i statistika. Moscow, Nauka Publ., 1967. 408 p.)

[14] Zaripov R.G. Novye mery i metody v teorii informatsii [New measures and methods in information theory]. Kazan, Kazan. Gos. Tekh. Univ. Publ., 2005. 364 p.

[15] Klimontovich Yu.L. Turbulentnoe dvizhenie i struktura khaosa: Novyy podkhod k statisticheskoy teorii otkrytykh system [Turbulent motion and the structure of chaos: A new approach to the statistical theory of open systems]. Moscow, Nauka Publ., 1990. 320 p.

[16] Maks Zh. Metody i tekhnika obrabotki signalov pri fizicheskikh izmereniyakh [Methods and techniques of signal processing in physical measurements]. Moscow, Mir Publ., 1983, vol. 1. 312 p.

[17] Korn G., Kom T. Mathematical handbook for scientists and engineers. Dover Publ., 2000. 1130 p. (Russ. ed.: Korn G., Korn T. Spravochnik po matematike. Moscow, Nauka Publ., 1978. 832 p.)

[18] Korotaev S.M., Morozov A.N., Serdyuk V.O., Gorokhov Yu.V., Filippov B.P., Machikhin V.A. Experimental study of leading non-local correlations in the process of solar activity. Izv. Vyssh. Uchebn. Zaved., Fizika. [Bull. Inst. Higher Educ., Physics], 2007, no. 4, pp. 26-33 (in Russ.).