On the statistical theory of strong electrolytes and high-temperature plasmas: new applications of the work of Yukhnovskii and Kelbg

Authors

DOI:

https://doi.org/10.5488/cmp.29.23501

Keywords:

statistical physics, strong electrolytes, high-temperature plasmas, convergence of expansions

Abstract

Remembering here the work of two pioneers of the statistical physics of Coulomb systems, Günter Kelbg, and Ihor Yukhnovskii, we analyze their methods and give some new applications to ionic solutions and quantum plasmas. In particular, we develop applications of the theory to strong electrolytes and to thermal high-temperature plasmas at T > 105 K using the exponential interaction model. We show the strong structural similarity of these two classes of Coulomb systems, which physics is determined mostly by contributions proportional to e4 and e6. We predict at higher densities a structural transition to oscillating correlations. The thermodynamic functions show a smooth transition from a quadratic root increase to a slower increase like ni1/4 which observes the Onsager bound. Effects of asymmetries in charges and masses are studied with applications to ionic systems with multiple charges and to high-temperature plasmas, in particular, to plasmas with He2+-ions.

 

 

References

Yukhnovskii I., Selected Works. Physics, Publishing House of Lviv Polytechnic National University, Lviv, 2002 (in Ukrainian).

Yukhnovskii I., Binary Distribution Function for a System of Charged Interacting Particles (Based on PhD Thesis by I. R. Yukhnovskii), Eurosvit, Lviv, 2010 (in Ukrainian).

Glauberman A. E., Yukhnovskii I. R., Zh. Eksp. Teor. Fiz., 1952, 22, 562 (in Russian).

Yukhnovskii I. R., Zh. Eksp. Teor. Fiz., 1954, 27, 690 (in Russian).

Iukhnovskii I. R., Sov. Phys. JETP, 1958, 7, No. 2, 263–270.

Bogoliubov N. N., Nonequilibrium Statistical Mechanics, 1939–1980, Statistical Mechanics, Vol. 5, Nauka, Moscow, 2006 (in Russian).

Bogoliubov N. N., Equilibrium Statistical Mechanics, 1945–1986, Statistical Mechanics, Vol. 6, Nauka, Moscow, 2006 (in Russian).

Iukhnovskii I. R., Golovko M. F., Statistical Theory of the Classical Equilibrium Systems, Naukova Dumka, Kyiv, 1980 (in Russian).

Yukhnovskii I. R., Holovko M. F., Statistical Theory of Classical Equilibrium Systems, 2nd ed., Akademperiodyka, Kyiv, 2025.

Falkenhagen H., Theorie der Elektrolyte, Hirzel, Leipzig, 1971 (in German).

Falkenhagen H., Ebeling W., In: Satyendranath Bose 70th Birthday Commemoration Volume, Vol. 2, Prof. S. N. Bose 70th Birthday Celebration Committee [1965–66], Calcutta, 1966.

Glauberman A. Y., Visn. Lviv. Derzh. Univ., Ser. Fiz., 1962, 1, 10–31 (in Ukrainian).

Barthel J., Krienke H., Kunz W., Physical Chemistry of Electrolyte Solutions: Modern Aspects, Topics in Physical Chemistry, Vol. 5, Springer, New York, 1998.

Harned H. S., Owen B. B., The Physical Chemistry of Electrolytic Solutions, Reinhold Publishing Corporation, 1958.

Kelbg G., Wiss. Z. U. Rostock MNR, 1959/60, 9, 41.

Kelbg G., In: Electrolytes, Pesce B. (Ed.), Pergamon Press, New York, London, 1962.

Kelbg G., Ann. Phys., 1962, 464, 159–167 (in German).

Kelbg G., Ann. Phys., 1963, 467, 219–224 (in German).

Kelbg G., Ann. Phys., 1963, 467, 354–360 (in German).

Bonitz M., Ebeling W., Filinov A., Kraeft W. D., Redmer R., Röpke G., Contrib. Plasma Phys., 2023, 63, e202300029.

Holovko M., In: Proceeding of Shevchenko Scientific Society, Vol. XXIX, Collected Physical Papers, 2011, 8, 452–467 (in Ukrainian).

Ebeling W., Condens. Matter Phys., 2025, 28, 23101.

Kelbg G., Hoffmann H. J., Ann. Phys., 1963, 469, 310–318 (in German).

Krienke H., Condens. Matter Phys., 2013, 16, 43006.

Ebeling W., Feistel R., Krienke H., J. Mol. Liq., 2022, 346, 117814.

Ebeling W., Feistel R., Krienke H., On Statistical Calculations of Individual Ionic Activity Coefficients of Electrolytes and Seawater. I. Basics — Draft 14 Apr 2019, 2019.

Ebeling W., Krienke H., Condens. Matter Phys., 2023, 26, 23602.

Golovko M. F., Krienke H., Mol. Phys., 1989, 68, 967.

Onsager L., J. Phys. Chem., 1939, 43, 189.

Hemmer P. C., Holden H., Kjelstrup Ratkje S. (Eds.), The collected works of Lars Onsager, World Scientific, Singapore, 1996.

Salpeter E. E., Aust. J. Phys., 1954, 7, 373.

Nordholm S., Chem. Phys. Lett., 1984, 105, 302.

Friedman H. L., Ionic Solution Theory: Based on Cluster Expansion Methods, Interscience Publishers, New York, 1962.

Martynov G. A., Fundamental Theory of Liquids: Method of Distribution Functions, Adam Hilger, Bristol, 1992.

Evans R., Leote de Carvalho R. J. F., Henderson J. R., Hoyle D. C., J. Chem. Phys., 1994, 100, 591.

Leote de Carvalho R. J. F., Evans R., Mol. Phys., 1994, 83, 619.

Ebeling W., Fortov V. E., Filinov V., Quantum Statistics of Dense Gases and Nonideal Plasmas, Springer Series in Plasma Science and Technology, Springer International Publishing, Cham, 2017.

Fortov V. E., Filinov V. S., Larkin A. S., Ebeling W., Statistical Physics of Dense Gases and Nonideal Plasmas, FizMatLit, Moscow, 2020 (in Russian).

Alastuey A., Martin P. A., Statistical Mechanics of Coulomb Systems, EPFL Press, Lausanne, 2025.

Hau-Riege S. P., Weisheit J., Castor J. I., London R. A., Scott H., Richards D. F., New J. Phys., 2013, 15, 015011.

Stolzmann W., Ebeling W., Phys. Lett. A, 1998, 249, 242.

DeWitt H. E., Phys. Rev. A, 1976, 14, 1290.

Kremp D., Kraeft W. D., Ebeling W., Röpke G., Quantum Statistics of Charged Particle Systems, Plenum Press, New York, 1986.

Outhwaite C. W., Hutson V. L. C., Mol. Phys., 1975, 29, 1521.

Cats R., Evans A., Härtel R., van Roij R., J. Chem. Phys., 2021, 154, 124504.

Ebeling W., Röpke G., Plasma, 2023, 6, 1.

Ebeling W., Kraeft W. D., Kremp D., Theory of Bound States and Ionization Equilibrium in Plasmas and Solids, Akademie-Verlag, Berlin, 1976.

Ebeling W., Röpke G., Contrib. Plasma Phys., 2025, 65, e70009.

Ebeling W., Ann. Phys., 1967, 19, 104 (in German).

Ebeling W., Ann. Phys., 1968, 21, 315 (in German).

Ebeling W., Ann. Phys., 1969, 22, 383 (in German).

Ebeling W., Physica, 1968, 40, 290.

Ebeling W., Physica, 1969, 43, 293.

Alastuey A., Cornu F., Perez A., Phys. Rev. E, 1995, 51, 1725.

Kahlbaum T., J. Phys. IV, 2000, 10, No. Pr5, 455–459.

Röpke G., Lin C., Ebeling W., Reinholz H., Contrib. Plasma Phys., 2026, e70078.

Ebeling W., Röpke G., Plasma Phys., 2026, 33, 032705.

Ebeling W., Contrib. Plasma Phys., 2016, 56, 163.

Ebeling W., Hoffmann H., Kelbg G., Contrib. Plasma Phys., 1967, 8, 233 (in German).

Hoffmann H., Ebeling W., Contrib. Plasma Phys., 1968, 8, 43 (in German).

Sadykova S. P., Ebeling W., Tkachenko I. M., Eur. Phys. J. D, 2011, 61, 117.

Whitley H. D., Alastuey A., Gaffney J. A., Cauble R., Kraeft W. D., Bonitz M., Contrib. Plasma Phys., 2015, 55, 102.

Filinov A., Bonitz M., Phys. Rev. E, 2023, 108, 055212.

Bonitz M., Vorberger J., Bethkenhagen M., Böhme M. P., Ceperley D. M., Filinov A., Gawne T., Graziani F., Gregori G., Hamann P. et al., Phys. Plasmas, 2024, 31, 110501.

Filinov A. V., Bonitz M., Phys. Rev. E, 2023, 108, 055212.

Published

2026-06-29

Issue

Section

Сollection of the articles dedicated to the 100th anniversary of Prof. Ihor Yukhnovskii

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How to Cite

[1]
W. Ebeling and M. Holovko, “On the statistical theory of strong electrolytes and high-temperature plasmas: new applications of the work of Yukhnovskii and Kelbg”, Condens. Matter Phys., vol. 29, no. 2, p. 23501, Jun. 2026, doi: 10.5488/cmp.29.23501.

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