On the statistical theory of strong electrolytes and high-temperature plasmas: New applications of the work by Yukhnovskii and Kelbg II
DOI:
https://doi.org/10.5488/CMP.29.33501Keywords:
strong electrolytes, high-temperature plasmas, oscillatory correlationsAbstract
Exponential potentials were used since Kramers, Hellman, Glauberman, Yukhnovskii and Kelbg for solving problems of quantum chemistry, ionic solutions and plasmas. Here we develop the theory further and add new results, in particular with respect to the quantum-statistical theory. In particular, we derive the Kelbg quantum potential for the exponential interactions and discuss screening as well as the problem of thermodynamic stability. Further we give new applications to a qualitative theory of alkali plasmas and fusion plasmas. We show that the exponential potential and the early analytical results of Yukhnovskii and Kelbg allow a qualtative analytical treatment of such difficult problems as the phase transitions in electrolytes and alkali plasmas.
References
Hellmann H., J. Chem. Phys., 1935, 3, 61. DOI: https://doi.org/10.1063/1.1749559
Hellmann H., Acta Physicochim. URSS, 1935, 1, 913, (in German).
Hellmann H., Acta Physicochim. URSS, 1936, 4, 324, (in German). DOI: https://doi.org/10.1063/1.1749851
Glauberman A. E., Yukhnovskii I. R., Zh. Eksp. Teor. Fiz., 1952, 22, 562–572, (in Russian).
Yukhnovskii I. R., Zh. Eksp. Teor. Fiz., 1954, 27, 690–698, (in Russian).
Kelbg G., Wiss. Z. U. Rostock MNR, 1959/60, 9, 41. DOI: https://doi.org/10.1080/03736245.1959.10559346
Kelbg G., In: Electrolytes, Pesce B. (Ed.), Pergamon Press, New York, London, 1962, 109.
Falkenhagen H., Ebeling W., In: Ionic Interactions: From Dilute Solutions to Fused Salts, Vol. 1, Petrucci S. (Ed.), Academic Press, New York, 1971, 1–59. DOI: https://doi.org/10.1016/B978-0-12-553001-9.50006-2
Falkenhagen H., Theorie der Elektrolyte, Hirzel, Leipzig, 1971, (in German).
Krasko G. L., Gurskii Z. A., JETP Lett., 1969, 9, 363.
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. DOI: https://doi.org/10.1007/978-3-319-66637-2
Fortov V. E., Filinov V. S., Larkin A. S., Ebeling W., Statistical Physics of Dense Gases and Nonideal Plasmas, FizMatLit, Moscow, 2020, (in Russian).
Iukhnovskii I. R., Golovko M. F., Statistical Theory of 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. DOI: https://doi.org/10.15407/akademperiodyka.558.444
Ebeling W., Holovko M., Condens. Matter Phys., 2026, 29, 23501. DOI: https://doi.org/10.5488/cmp.29.23501
Hansen J.-P., McDonald I. R., Theory of simple liquids: with applications to soft matter, Academic Press, Elsevier, Oxford, Amstersdam, fourth edn., 2013. DOI: https://doi.org/10.1016/B978-0-12-387032-2.00012-X
Richert W., Insepov S. A., Ebeling W., Ann. Phys. (Berlin, Ger.), 1984, 496, No. 2, 139–150. DOI: https://doi.org/10.1002/andp.19844960207
Ebeling W., Z. Phys. Chem., 1971, 247, 340. DOI: https://doi.org/10.1515/zpch-1971-24741
Ebeling W., Grigo M., Ann. Phys. (Leipzig, Ger.), 1980, 37, 21. DOI: https://doi.org/10.1002/andp.19804920104
Ebeling W., Grigo M., J. Solution Chem., 1982, 11, 151. DOI: https://doi.org/10.1007/BF00667599
Fisher M. E., Levin V., Phys. Rev. Lett., 1993, 71, 3826. DOI: https://doi.org/10.1103/PhysRevLett.71.3826
Stell G., J. Stat. Phys., 1995, 78, 197. DOI: https://doi.org/10.1007/BF02183346
Schröer W., J. Mol. Liq., 2011, 164, 3. DOI: https://doi.org/10.1016/j.molliq.2011.08.003
Kelbg G., Ann. Phys. (Berlin, Ger.), 1963, 467, 219–224, (in German). DOI: https://doi.org/10.1002/andp.19634670308
Kelbg G., Ann. Phys. (Berlin, Ger.), 1963, 467, 354–360, (in German). DOI: https://doi.org/10.1002/andp.19634670703
Ebeling W., Kraeft W. D., Kremp D., Theory of Bound States and Ionization Equilibrium in Plasmas and Solids, Akademie-Verlag, Berlin, 1976.
Ebeling W., Condens. Matter Phys., 2025, 28, 23101. DOI: https://doi.org/10.5488/cmp.28.23101
Redmer R., Hensel F., Holst B. (Eds.), Metal-to-Nonmetal Transitions, Springer, Berlin, 2010. DOI: https://doi.org/10.1007/978-3-642-03953-9
Holovko M., In: Proceeding of Shevchenko Scientific Society, Vol. XXIX, Collected Physical Papers, 2011, 8, 452–467, (in Ukrainian).
Schmitz G., Phys. Lett., 1966, 21, 174. DOI: https://doi.org/10.1016/0031-9163(66)90304-0
Ebeling W., Kelbg G., Schmitz G., Ann. Phys. (Leipzig, Ger.), 1966, 473, No. 1–2, 29–41. DOI: https://doi.org/10.1002/andp.19664730105
Alekseev V. A., Iakubov I. T., Phys. Rep., 1983, 96, 1. DOI: https://doi.org/10.1016/0370-1573(83)90074-1
Sadykova S. P., Ebeling W., Tkachenko I. M., Eur. Phys. J. D, 2011, 61, 117. DOI: https://doi.org/10.1140/epjd/e2010-10118-y
Ebeling W., Krienke H., Condens. Matter Phys., 2023, 26, 23602. DOI: https://doi.org/10.5488/CMP.26.23602
Krienke H., Condens. Matter Phys., 2013, 16, 43006. DOI: https://doi.org/10.5488/CMP.16.43006
Ebeling W., Röpke G., Plasma Phys., 2026, 33, 032705. DOI: https://doi.org/10.1063/5.0313273
Salpeter E. E., Aust. J. Phys., 1954, 7, 373. DOI: https://doi.org/10.1071/PH540373
Sturrock P. A. (Ed.), Physics of the Sun: Volume I — The Solar Interior, Springer Netherlands, 1986. DOI: https://doi.org/10.1007/978-94-009-5253-9
Atzeni S., Meyer-ter-Vehn J., The Physics of Inertial Fusion: BeamPlasma Interaction, Hydrodynamics, Hot Dense Matter, Oxford University Press, 2004. DOI: https://doi.org/10.1093/acprof:oso/9780198562641.001.0001
Lindl J. D., Amendt P., Berger R., Glendinning S., Glenzer S. H., Haan S. W., Kauffman R. L., Landen O. L., Suter L. J., Phys. Plasmas, 2004, 11, 339–491. DOI: https://doi.org/10.1063/1.1578638
Downloads
Published
Issue
Section
Categories
License
Copyright (c) 2026 W. Ebeling, M. Holovko

This work is licensed under a Creative Commons Attribution 4.0 International License.







