Stopping power of strongly coupled electronic plasmas: Sum rules and asymptotic forms

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

Volumn 63, Issue 2 II, 2001, Pages 1-11

  Ortner, J ^a   Tkachenko, I M ^b  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITAT POLITÈCNICA DE VALÈNCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 20444414931     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.026403     Document Type: Article

References (64)

1. G. Zwicknagel, Ch. Toepffer, and P.-G. Reinhardt, Phys. Rep. 309, 177 (1999).
2. C. Deutsch and P. Fromy, Phys. Rev. E 61, 4322 (2000).
3. D. O. Gericke and M. Schlanges, Phys. Rev. E 60, 904 (1999).
4. N. Bohr, Philos. Mag. 25, 10 (1913).
5. H. Bethe, Ann. Phys. (Leipzig) 5, 325 (1930).
6. A. I. Larkin, Zh. Éksp. Teor. Fiz. 37, 264 (1959) [Sov. Phys. JETP 37, 186 (1960)].
7. A. I. Larkin, Zh. Éksp. Teor. Fiz. 37, 264 (1959) [Sov. Phys. JETP 37, 186 (1960)].
8. F. Bloch, Ann. Phys. (Leipzig) 16, 285 (1933).
9. E. Fermi and E. Teller, Phys. Rev. 72, 399 (1947).
10. J. Lindhard, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 28, 3 (1954).
11. W. H. Barkas, J. N. Dyer, and H. H. Heckman, Phys. Rev. Lett. 11, 26 (1963).
12. J. M. Pitarke, R. H. Ritchie, and P. M. Echenique, Phys. Rev. B 52, 13883 (1995).
13. I. Nagy, A. Arnau, and P. M. Echenique, Phys. Rev. A 40, 987 (1989).
14. Yu. S. Sayasov and N. A. Tahir, Europhys. Lett. 23, 641 (1993).
15. J. D'Avanzo, M. Lontano, and P. F. Bortignon, Nuovo Cimento A 106, 1797 (1993).
16. I. M. Tkachenko, J. L. Muñoz-Cobo, and A. Muñoz, Phys. Rev. E 56, 6208 (1997).
17. N. R. Arista and W. Brandt, Phys. Rev. A 23, 1898 (1981).
18. N. R. Arista, J. Phys. C 18, 5127 (1985).
19. G. Maynard and C. Deutsch, Phys. Rev. A 26, 665 (1982).
20. S. Ichimaru et al., Phys. Rev. A 32, 785 (1985).
21. A. A. Kugler, J. Stat. Phys. 12, 35 (1975).
22. S. Ichimaru, H. Iyetomi, and S. Tanaka, Phys. Rep. 149, 91 (1987).
23. S. Tanaka and S. Ichimaru, J. Phys. Soc. Jpn. 54, 2537 (1985).
24. I. Nagy, J. László, and J. Giber, Z. Phys. A 321, 221 (1985).
25. B. Dabrowski, Phys. Rev. B 34, 4989 (1986).
26. V. M. Adamyan, Th. Meyer, and I. M. Tkachenko, Fiz. Plazmy 11 , 826 (1985) [Sov. J. Plasma Phys. 11, 481 (1985)].
27. V. M. Adamyan, Th. Meyer, and I. M. Tkachenko, Fiz. Plazmy 11 , 826 (1985) [Sov. J. Plasma Phys. 11, 481 (1985)].
28. Th. Meyer and I. M. Tkachenko, Contrib. Plasma Phys. 25, 437 (1985).
29. V. M. Rylyuk and I. M. Tkachenko, Phys. Rev. A 44, 1287 (1991).
30. J. Ortner, F. Schautz, and W. Ebeling, Phys. Rev. E 56, 4665 (1997).
31. I. M. Tkachenko and J. Alcober, in Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, France, 1999 [J. Phys. IV 10, Pr-5-195 (2000)].
32. I. M. Tkachenko and J. Alcober, in Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, France, 1999 [J. Phys. IV 10, Pr-5-195 (2000)].
33. J. Ortner, Phys. Scr. T84, 69 (2000).
34. G. Kalman and G. Golden, Phys. Rev. A 41, 5516 (1990).
35. The positivity of h(k + (Combining right arrow above sign)) is guaranteed by the Hölder inequality between the moments [25].
36. S. V. Adamjan, I. M. Tkachenko, J. L. Muñoz-Cobo, and G. Verdú, Phys. Rev. E 48, 2067 (1993).
37. I. M. Tkachenko, J. Ortner, and J. Alcober, in Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, France, 1999 [J. Phys. IV 10, Pr-5-203 (2000)].
38. I. M. Tkachenko, J. Ortner, and J. Alcober, in Proceedings of the International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, France, 1999 [J. Phys. IV 10, Pr-5-203 (2000)].
39. G. Belyaev et al., Phys. Rev. E 53, 2701 (1996).
40. A. Golubev et al., Phys. Rev. E 57, 3363 (1998).
41. Yu. K. Kurilenkov, G. Maynard, and J. Dufty, in Strongly Coupled Coulomb Systems , edited by G. Kalman et al. (Plenum Press, New York, 1998), p. 547.
42. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980).
43. S. H. Vosko, L. Wilk, and M. Nusair, Can. J. Phys. 58, 1200 (1980).
44. G. Chabrier and A. Y. Potekhin, Phys. Rev. E 58, 4941 (1998).
45. N. R. Arista and W. Brandt, Phys. Rev. A 29, 1471 (1981).
46. Yu. S. Sayasov, Z. Phys. A 313, 9 (1983).
47. I. M. Tkachenko, Europhys. Lett. 9, 351 (1989); I. M. Tkachenko, J. Alcober, and P. Fernández de Córdoba, J. Phys. IV 10, Pr-5-199 (2000) (and references therein).
48. I. M. Tkachenko, Europhys. Lett. 9, 351 (1989); I. M. Tkachenko, J. Alcober, and P. Fernández de Córdoba, J. Phys. IV 10, Pr-5-199 (2000) (and references therein).
49. A. Holas, in Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1987), p. 463; see, e.g., B. Farid et al., Phys. Rev. B 48, 11 602 (1993).
50. A. Holas, in Strongly Coupled Plasma Physics, edited by F. J. Rogers and H. E. DeWitt (Plenum, New York, 1987), p. 463; see, e.g., B. Farid et al., Phys. Rev. B 48, 11 602 (1993).
51. S. Moroni, D. M. Ceperley, and G. Senatore, Phys. Rev. Lett. 75, 689 (1995).
52. 0) becomes negative, resulting in an infinite stopping power. At strong coupling one has to use the full LFC (39) (or its modifications) instead of the simplified equation (54).
53. L. Lantto, P. Pietilainen, and A. Kallio, Phys. Rev. B 26, 5568 (1982).
54. P. Vashishta and K. S. Singwi, Phys. Rev. B 6, 875 (1972).
55. J. T. Devreese, F. Brosens, and L. F. Lemmens, Phys. Rev. B 21, 1349 (1980); F. Brosens, J. T. Devreese, and L. F. Lemmens, ibid. 21, 1363 (1980).
56. J. T. Devreese, F. Brosens, and L. F. Lemmens, Phys. Rev. B 21, 1349 (1980); F. Brosens, J. T. Devreese, and L. F. Lemmens, ibid. 21, 1363 (1980).
57. K. Utsumi and S. Ichimaru, Phys. Rev. A 26, 603 (1982).
58. J. Ortner and I. M. Tkachenko, in Proceedings of ICPIG XIX, Belgrade, Yugoslavia, 1989, edited by M. Popovic (Inst. Physics, Belgrade, 1989), p. 646.
59. V. M. Adamyan and I. M. Tkachenko, Teplofiz. Vys. Temp. 21, 417 (1983) [High Temp. 21, 307 (1983)].
60. V. M. Adamyan and I. M. Tkachenko, Teplofiz. Vys. Temp. 21, 417 (1983) [High Temp. 21, 307 (1983)].
61. I. M. Tkachenko, P. Fernández de Córdoba, and M. Urrea, J. Phys. A 29, 2599 (1996).
62. J. C. Kimball, Phys. Rev. A 7, 1648 (1973); Phys. Rev. B 14, 2371 (1976).
63. J. C. Kimball, Phys. Rev. A 7, 1648 (1973); Phys. Rev. B 14, 2371 (1976).
64. H. Yasuhara, Solid State Commun. 11, 1481 (1972).