Dynamic conductivity of Kelbg-pseudopotential-modelled plasmas
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Keywords:
strongly coupled plasma, method of moments, sum rule, dynamic conductivity, Nevanlinna parameter functionAbstract
The obtained results continue our work on the optical properties of Kelbg-pseudopotential-modelled plasmas [1]. Since the difficulty of the uncertainty in the determination of the Nevanlinna parameter function is overcome by developing a regular method for deriving the Nevanlinna parameter function which essentially stems from the asymptotic behavior of the simulated dynamic collision frequency in the classical method of moments, it is possible, on the basis of the dynamic collision frequency (DCF) of hydrogen-like plasmas to derive the dynamic conductivities. Here internal and external dynamic conductivities, i.e. their imaginary and real parts are presented. Some information on the method of moments (MM) is provided.References
1. Arkhipov Yu.V., Ashikbaeva A.B., Askaruly A., Davletov А.Е.,Tkachenko I.M. Optical properties of Kelbg-pseudopotential-modelledplasmas // Contrib. Plasma Phys. – 2013. – Vol. 53. –P. 375-384.
2. Adamyan S.V., Tkachenko I.M.,Muñoz-Cobo González J.L., Verdú Martn
G.Dynamic and static correlations in modelCoulomb systems// Phys.
Rev. E. – 1993. – Vol. 48.–P. 2067-2072.
3. Arkhipov Yu.V., Askaruly A., Ballester D., Davletov А.Е., Meirkanova G.M., Tkachenko I.M. Collective and static properties of model two
component plasmas // Phys. Rev. E. – 2007. – Vol. 76. – P. 026403(9).
4. Arkhipov Yu.V., Askaruly A., Davletov А.Е., Tkachenko I.M. Dynamic properties of one-component moderately coupled plasmas: the mixed Lowner-Nevanlinna-Pick approach // Contrib. Plasma Phys. – 2010. – Vol. 50. – P. 69-76.
5. Arkhipov, Yu.V., Askaruly, A., Ballester, D., Davletov, A.E., Tkachenko, I.M., Zwicknagel, G. Dynamic properties of one-component strongly coupled plasmas: the moment approach // Phys. Rev.
E. – 2010. – Vol. 81. – P. 026402-1–9.
6. Filippov A.V., Starostin A.N., Tkachenko I.M., Fortov V.E. Dust acoustic waves in complex plasmas at elevated pressure // Phys. Lett. A. – 2011.– Vol. 376. –P. 31-38.
7. Maksimov E.G. and Dolgov O.V. About possible mechanisms of high-temperature superconductors, Physics-Uspekhi. – 2007. – Vol. 50. –P. 933-938.
8. Pines D., Nozièrs P. The Theory of Quantum Liquids //– NY: Benjamin. – 1966. – P. 574.
9. Adamyan V.M., Meyer T., and Tkachenko I.M. RF dielectric constant of a collisional plasma// Sov. J. Plasma Phys. – 1985. – Vol. 11. –P. 481.
10. Adamyan V. M. and Tkachenko I. M.'Dielectric conductivity of non-ideal plasmas'. Lectures on physics of non-ideal plasmas, part I,
Odessa State University, Odessa, 1988, in Russian;
AdamyanV. M. and TkachenkoI. M., Contrib. Plasma Phys. – 2003. – Vol.43. – P.252.
11. Adamyan V.M., Tkachenko I.M. Teplofizika Vysokikh Temperatur. – 1983. – Vol. 21. – P. 417–425. Tkachenko I.M., Arkhipov Yu.V., Askaruly A. The Method of Moments and its Applications
in Plasma Physics. – Saarbrücken, Germany:
LAMBERT Academic Publishing, 2012. – 126 p.
12. Corbatón M.J., Tkachenko I.M.Static correlation functions in hydrogen-like completely ionized plasmas // Int. conf. Strongly Coupled
Coulomb Systems «SCCS-2008»: Book of abstracts. – Camerino, Italy, 2008. – P. 90.
13. Reinholz H., Morozov I., Ropke G. and Millat Th. Internal versus external conductivity of a dense plasma: Many-particle theory and simulations// Phys. Rev. E. – 2004. – Vol. – 69. – P. 066412.
14. Nevanlinna R. Asymptotische Entwicklungen beschrankter Funktionen und das Stieltjessche. Momenten problem // Ann. Acad. Sci. Fenn. A. – 1922. – Vol. 18. – P. 1-53.
15. Krein M.G., Nudel'man A. A. The Markov moment problem and extremal problems. –Moscow:Nauka 1973. – P. 552.
16. Kugler A. A. Theory of the local field correction in an electron gas// J. Stat. Phys. – 1975. –Vol. 12. – P. 35–87.
17. Morozov I., Reinholz H., Ropke G., Wierling A. and Zwicknagel G. Molecular dynamics simulations of optical conductivity of dense plasmas
// Phys. Rev. E. – 2005. – Vol. 71. – P. 066408.
18. Akhiezer N.I. The classical moment problem and some related questions in analysis. – N.Y.: Hafner Publishing Company, 1965. – 253 p.
2. Adamyan S.V., Tkachenko I.M.,Muñoz-Cobo González J.L., Verdú Martn
G.Dynamic and static correlations in modelCoulomb systems// Phys.
Rev. E. – 1993. – Vol. 48.–P. 2067-2072.
3. Arkhipov Yu.V., Askaruly A., Ballester D., Davletov А.Е., Meirkanova G.M., Tkachenko I.M. Collective and static properties of model two
component plasmas // Phys. Rev. E. – 2007. – Vol. 76. – P. 026403(9).
4. Arkhipov Yu.V., Askaruly A., Davletov А.Е., Tkachenko I.M. Dynamic properties of one-component moderately coupled plasmas: the mixed Lowner-Nevanlinna-Pick approach // Contrib. Plasma Phys. – 2010. – Vol. 50. – P. 69-76.
5. Arkhipov, Yu.V., Askaruly, A., Ballester, D., Davletov, A.E., Tkachenko, I.M., Zwicknagel, G. Dynamic properties of one-component strongly coupled plasmas: the moment approach // Phys. Rev.
E. – 2010. – Vol. 81. – P. 026402-1–9.
6. Filippov A.V., Starostin A.N., Tkachenko I.M., Fortov V.E. Dust acoustic waves in complex plasmas at elevated pressure // Phys. Lett. A. – 2011.– Vol. 376. –P. 31-38.
7. Maksimov E.G. and Dolgov O.V. About possible mechanisms of high-temperature superconductors, Physics-Uspekhi. – 2007. – Vol. 50. –P. 933-938.
8. Pines D., Nozièrs P. The Theory of Quantum Liquids //– NY: Benjamin. – 1966. – P. 574.
9. Adamyan V.M., Meyer T., and Tkachenko I.M. RF dielectric constant of a collisional plasma// Sov. J. Plasma Phys. – 1985. – Vol. 11. –P. 481.
10. Adamyan V. M. and Tkachenko I. M.'Dielectric conductivity of non-ideal plasmas'. Lectures on physics of non-ideal plasmas, part I,
Odessa State University, Odessa, 1988, in Russian;
AdamyanV. M. and TkachenkoI. M., Contrib. Plasma Phys. – 2003. – Vol.43. – P.252.
11. Adamyan V.M., Tkachenko I.M. Teplofizika Vysokikh Temperatur. – 1983. – Vol. 21. – P. 417–425. Tkachenko I.M., Arkhipov Yu.V., Askaruly A. The Method of Moments and its Applications
in Plasma Physics. – Saarbrücken, Germany:
LAMBERT Academic Publishing, 2012. – 126 p.
12. Corbatón M.J., Tkachenko I.M.Static correlation functions in hydrogen-like completely ionized plasmas // Int. conf. Strongly Coupled
Coulomb Systems «SCCS-2008»: Book of abstracts. – Camerino, Italy, 2008. – P. 90.
13. Reinholz H., Morozov I., Ropke G. and Millat Th. Internal versus external conductivity of a dense plasma: Many-particle theory and simulations// Phys. Rev. E. – 2004. – Vol. – 69. – P. 066412.
14. Nevanlinna R. Asymptotische Entwicklungen beschrankter Funktionen und das Stieltjessche. Momenten problem // Ann. Acad. Sci. Fenn. A. – 1922. – Vol. 18. – P. 1-53.
15. Krein M.G., Nudel'man A. A. The Markov moment problem and extremal problems. –Moscow:Nauka 1973. – P. 552.
16. Kugler A. A. Theory of the local field correction in an electron gas// J. Stat. Phys. – 1975. –Vol. 12. – P. 35–87.
17. Morozov I., Reinholz H., Ropke G., Wierling A. and Zwicknagel G. Molecular dynamics simulations of optical conductivity of dense plasmas
// Phys. Rev. E. – 2005. – Vol. 71. – P. 066408.
18. Akhiezer N.I. The classical moment problem and some related questions in analysis. – N.Y.: Hafner Publishing Company, 1965. – 253 p.
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Arkhipov, Y. V., Ashikbayeva, A. B., Askaruly, A., Davletov, A. E., & Tkachenko, I. M. (2013). Dynamic conductivity of Kelbg-pseudopotential-modelled plasmas. International Journal of Mathematics and Physics, 4(2), 38–43. Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/75
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Theoretical Physics and Plasma Physics
