Thermodynamic Stability of a Multicomponent Non-Ideal Plasma

A. V. Filippov; Филиппов А. В.

doi:10.31857/S0367292122601321

Thermodynamic Stability of a Multicomponent Non-Ideal Plasma

Authors: Filippov A.V.¹^,2
Affiliations:
1. Joint Institute for High Temperatures, Russian Academy of Sciences
2. Troitsk Institute for Innovation and Fusion Research
Issue: Vol 49, No 1 (2023)
Pages: 25-32
Section: ПЫЛЕВАЯ ПЛАЗМА
URL: https://journal-vniispk.ru/0367-2921/article/view/139523
DOI: https://doi.org/10.31857/S0367292122601321
EDN: https://elibrary.ru/KNEUSR
ID: 139523

Cite item

Full Text

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

The thermodynamic stability of a multicomponent plasma is studied on the basis of the Ornstein–Zernike integral equations for a multicomponent fluid. A transition is made to the one-component Ornstein–Zernike equation for the most non-ideal subsystem for a plasma with any number of components under the conditions of applicability of the Debye approximation for direct correlation functions for all plasma components, except for the most non-ideal subsystem. It is shown that all pair correlation functions, charge–charge and number–number structure factors remain positive for all argument values in the entire studied range of the non-ideality parameter of the most non-ideal subsystem. The conditions for the violation of the thermodynamic stability of a three-component dusty plasma are studied for different signs of the charge of dust particles and their different number density.

Keywords

multicomponent plasma, integral fluid equations, dusty plasma, thermodynamic stability, Debye potential, Ornstein–Zernike equation

About the authors

A. V. Filippov

Joint Institute for High Temperatures, Russian Academy of Sciences; Troitsk Institute for Innovation and Fusion Research

Author for correspondence.
Email: fav@triniti.ru
Moscow, Russia; Moscow, Russia

References

Цытович В.Н. // УФН. 1997. Т. 167. С. 57.
Фортов В.Е., Храпак А.Г., Храпак С.А., Молотков В.И., Петров О.Ф. // УФН. 2004. Т. 174. С. 495.
Fortov V.E., Ivlev A.V., Khrapak S.A., Khrapak A.G., Morfill G.E. // Phys. Rep. 2005. V. 421. P. 1.
Mann I., Meyer-Vernet N., Czechowski A. // Phys. Rep. 2014. V. 536. P. 1.
Ivlev A.V., Khrapak S.A., Molotkov V.I., Khrapak A.G. Introduction to the Physics of Dust and Complex Plasma. M.: Intellect Publishing House, 2017.
Shukla P.K., Mamun A.A. Introduction to dusty plasma physics. CRC Press, 2015.
Greiner F., Melzer A., Tadsen B., Groth S., Killer C., Kirchschlager F., Wieben F., Pilch I., Kruger H., Block D., Piel A., Wolf S. // Eur. Phys. J. D. 2018. V. 72. P. 81.https://doi.org/10.1140/epjd/e2017-80400-7
Ivlev A., Lowen H., Morfill G., Royall C.P. Complex plasmas and colloidal dispersions: particle-resolved studies of classical liquids and solids. Series in Soft Condensed Matter, vol. 5. Singapore: World Scientific, 2012.
Филиппов А.В., Старостин А.Н., Паль А.Ф. // ЖЭТФ. 2015. Т. 148. С. 1039.
Babick F. // Suspensions of Colloidal Particles and Aggregates / Eds. J. Manuel, V. Millan. V. 20 of the series Particle Technology Serie. Cham: Springer International Publishing, 2016. P. 75.
Ohshima H. // Encyclopedia of Biocolloid and Biointerface Science. Hoboken, NJ, USA: John Wiley & Sons, Inc., 2016.https://doi.org/10.1002/9781119075691.ch34
Филиппов А.В., Дербенев И.Н. // ЖЭТФ. 2016. Т. 150. С. 1262.
Derbenev I.N., Filippov A.V., Stace A.J., Besley E. // J. Chem. Phys. 2016. V. 145. P. 084103.https://doi.org/10.1063/1.4961091
Chen C., Huang W. // Environ. Sci. Technol. 2017. V. 51. P. 2077.https://doi.org/10.1021/acs.est.6b04575
Fortov V.E., Morfill G.E. Complex and Dusty Plasmas. London: Taylor Francis, 2009.
Ваулина О.С., Петров О.Ф., Фортов В.Е., Храпак А.Г., Храпак С.А. Пылевая плазма. Эксперимент и теория. М.: Физматлит, 2009. 316 с.
Hamaguchi S., Farouki R.T. // J. Chem. Phys. 1994. V. 101. P. 9876.
Farouki W.T., Hamaguchi S. // J. Chem. Phys. 1994. V. 101. P. 9885
Hamaguchi S., Farouki R.T., Dubin D.H.E. // Phys. Rev. E. 1997. V. 56. P. 4671.
Totsuji H. // Phys. Plasmas. 2008. V. 15. P. 072111.
Totsuji H. // Microgravity Sci. Technol. 2011. V. 23. P. 159.
Khrapak S.A., Khrapak A.G., Ivlev A.V., Morfill G.E. // Phys. Rev. E. 2014. V. 89. P. 023102.
Khrapak S.A., Morfill G.E., Ivlev A.V., Thomas H.M., Beysens D.A., Zappoli B., Fortov V.E., Lipaev A.M., Molotkov V.I. // Phys. Rev. Lett. 2006. V. 96. P. 015001.
Debye P., Huckel E. // Phys. Zeitschr. 1923. V. 24. S. 185.
Филиппов А.В., Решетняк В.В., Старостин А.Н., Ткаченко И.М., Фортов В.Е. // Письма в ЖЭТФ. 2019. Т. 110. С. 651.https://doi.org/10.1134/S0370274X19220041
Filippov A.V., Fortov V.E., Reshetniak V.V., Staros-tin A.N., Tkachenko I.M. // AIP Advances. 2020. V. 10. P. 045232.https://doi.org/10.1063/1.5144901
Hansen J.-P., McDonald I.R. Theory of Simple Liquids. London: Elsevier, 2006.
Саркисов Г.Н. // УФН. 1999. Т. 169. С. 625.
Решетняк В.В., Старостин А.Н., Филиппов А.В. // ЖЭТФ. 2018. V. 154. С. 1258.
Решетняк В.В., Филиппов А.В. // ЖЭТФ. 2019. V. 156. С. 545.
Зеленер Б.В., Норман Г.Э., Филинов В.С. Теория возмущений и псевдопотенциалов в статистической термодинамике. М.: Наука, 1981.
Kelbg G. // Ann. Phys. V. 1964. V. 12. P. 219.
Kelbg G. // Ann. Phys. 1964. V. 12. P. 354.
Климонтович Ю.Л., Крэфт В.Д. // ТВТ. 1974. V. 12. P. 239.
Deutsch C. // Phys. Lett. 1977. V. 60A. P. 317.
Deutsh C., Gombert M.M., Minoo H. // Phys. Lett. 1978. V. 66A. P. 381; 1979. V. 72A. P. 481.
Schwarz V., Bornath T., Kraeft W.D., Glenzer S.H., Holl A., Redmer R. // Contrib. Plasma Phys. 2007. V. 47. P. 324.
Wunsch K., Hilse P., Schlanges M., Gericke D.O. // Phys. Rev. E. 2008. V. 77. P. 05640.
Fushiki M. // J. Chem. Phys. 1988. V. 89. P. 7445.https://doi.org/10.1063/1.455275
Davletov A.E., Yerimbetova L.T., Arkhipov Yu.V., Mukhametkarimov Ye.S., Kissan A., Tkachenko I.M. // J. Plasma Phys. 2018. V. 84. P. 905840410.
Yerimbetova L.T., Davletov A.E., Arkhipov Y.V., Tka-chenko I.M. // Contrib. Plasma Phys. 2019. V. 59. P. e201800160.https://doi.org/10.1002/ctpp.201800160
Beresford-Smith B., Chan D.Y., Mitchell D.J. // J. Colloid Interface Sci. 1985. V. 105. P. 216.
Stillinger F.H., Lovett B. // J. Chem. Phys. 1968. V. 49. P. 1991.
Prigogine I., Defay R. Chemical Thermodynamics. London, Ney York, Toronto: Longmans Green and Co., 1954.
Норман Г.Э., Старостин А.Н. // ТВТ. 1968. Т. 6. С. 410.
Норман Г.Э., Старостин А.Н. // ТВТ. 1970. V. 8. P. 413.
Mahaffey D.W., Jerde D.A. // Rev. Mod. Phys. 1968. V. 40. P. 710.