Collective and static properties of model two-component plasmas

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 2, 2007, Pages

  Arkhipov, Yu V ^a   Askaruly, A ^a   Ballester, D ^b   Davletov, A E ^a   Meirkanova, G M ^a   Tkachenko, I M ^b  

^a AL FARABI KAZAKH NATIONAL UNIVERSITY   (Kazakhstan)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DIELECTRIC PROPERTIES; ELECTRONS; MOLECULAR STRUCTURE; PROBABILITY; STATISTICAL MECHANICS;

DIELECTRIC FUNCTION; HYPERNETTED CHAINS; MD DATA; TWO-COMPONENT PLASMAS (TCP);

PLASMAS;

EID: 34548154259     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.026403     Document Type: Article

References (36)

1. J.-P. Hansen and I. R. McDonald, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.23.2041 23, 2041 (1981).
2. C. Deutsch, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(77)90111-6 60A, 317 (1977);
3. C. Deutsch, M. M. Gombert, and H. Minoo, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(78)90066-X 66A, 381 (1977);
4. C. Deutsch, M. M. Gombert, and H. Minoo, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(79)90852-1 72A, 481 (1979).
5. D. B. Boercker, F. J. Rogers, and H. E. DeWitt, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.1623 25, 1623 (1982).
6. I. M. Tkachenko and P. Fernández de Córdoba, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.2222 57, 2222 (1998).
7. T. Pschiwul and G. Zwicknagel, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/36/22/355 36, 6251 (2003);
8. G. Zwicknagel and Th. Pschiwul, Contrib. Plasma Phys. CPPHEP 0863-1042 10.1002/ctpp.200310054 43, 393 (2003), and references therein.
9. S. V. Adamjan, I. M. Tkachenko, J. L. Muñoz-Cobo González, and G. Verdú Martín, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.48.2067 48, 2067 (1993).
10. W. Ebeling, A. Filinov, M. Bonitz, V. Filinov, and T. Pohl, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/17/S01 39, 4309 (2006).
11. N. I. Akhiezer, The Classical Moment Problem (Hafner Publishing Company, New York, 1965).
12. M. G. Krein and A. A. Nudel'man, The Markov Moment Problem and Extremal Problems Trans. of Math. Monographs 50 (American Mathematical Society, Providence, RI, 1977).
13. S. Albeverio and P. Kurasov, Singular Perturbations of Differential Operators, London Mathematical Society Lecture Notes No. 271 (Cambridge University Press, Cambridge, 2000).
14. V. M. Adamyan and I. M. Tkachenko, Dielectric Conductivity of Non-ideal Plasmas, Lectures on Physics of Non-ideal Plasmas, part (Odessa State University Press, Odessa, 1988) (in Russian);
15. V. M. Adamyan and I. M. Tkachenko, Contrib. Plasma Phys. CPPHEP 0863-1042 43, 252 (2003).
16. S. Ichimaru, Statistical Plasma Physics (Westview Press, Boulder, 2004), Vol. 1.
17. V. L. Ginzburg, Theory of Propagation of Radiowaves in the Ionosphere (Gostekhizdat, Moscow, 1949) (in Russian);
18. V. L. Ginzburg, The Propagation of Electromagnetic Waves in Plasmas (Pergamon Press, New York, 1971).
19. V. I. Perel' and G. M. Eliashberg, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 41, 886 (1961)
20. V. I. Perel' and G. M. Eliashberg, [Sov. Phys. JETP SPHJAR 0038-5646 14, 633 (1962)].
21. V. M. Adamyan and I. M. Tkachenko, High Temp. HITEA4 0018-151X 21, 307 (1983).
22. V. M. Adamyan, T. Meyer, and I. M. Tkachenko, Sov. J. Plasma Phys. SJPPDC 0360-0343 11, 481 (1985).
23. L. D. Landau and E. M. Lifshitz, Quantum Electrodynamics (Nauka, Moscow, 1975) (in Russian);
24. V. V. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Nauka, Moscow, 1980).
25. I. M. Tkachenko, Europhys. Lett. EULEEJ 0295-5075 9, 351 (1989).
26. Z. Djurić, A. A. Mihajlov, V. A. Nastasyuk, M. Popović, and I. M. Tkachenko, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(91)91049-J 155, 415 (1991).
27. G. S. Stringfellow, H. E. DeWitt, and W. L. Slattery, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.41.1105 41, 1105 (1990).
28. J. C. Kimball, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.1648 7, 1648 (1973);
29. J. C. Kimball, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.14.2371 14, 2371 (1976).
30. S. Ichimaru, Statistical Plasma Physics (Westview Press, Boulder, 2004), Vol. 2.
31. S. Ichimaru, S. Mitake, S. Tanaka, and X. Z. Yan, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.1768 32, 1768 (1985);
32. S. Ichimaru, S. Mitake, S. Tanaka, and X. Z. Yan, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(87)90125-6 149, 91 (1987).
33. I. M. Tkachenko, J. Ortner, and V. M. Rylyuk, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.4846 57, 4846 (1998).
34. I. Morozov, H. Reinholz, F. Röpke, A. Wierling, and G. Zwicknagel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.066408 71, 066408 (2005).
35. In non-hydrogen-like plasmas with polarizable ions, the first term on the right-hand side of Eqs. 5 11 should be substituted by the asymptotic value -1 (k,), i.e., by the value of -1 (k,ω) with ωp ω ωx, ωx being the characteristic excitation frequency of ions and, possibly, atoms. Then C0 (k) = -1 (k,) - -1 (k,0).
36. This form of the Nevanlinna function follows from the Riesz-Herglotz integral representation 7 with dg (t) ∼ t dt.