Numerical analysis of non-Markovian effects in charge-carrier scattering: One-time versus two-time kinetic equations

Journal of Physics Condensed Matter

Volumn 8, Issue 33, 1996, Pages 6057-6071

  Bonitz, M ^a   Kremp, D ^a   Scott, D C ^b   Binder, R ^b   Kraeft, W D ^c   Kohler H S ^d  

^a UNIVERSITY OF ROSTOCK   (Germany)

^b UNIVERSITY OF ARIZONA   (United States)

^c UNIVERSITY OF GREIFSWALD   (Germany)

^d University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000869919     PISSN: 09538984     EISSN: None     Source Type: Journal    
DOI: 10.1088/0953-8984/8/33/012     Document Type: Article

References (32)

1. For a review, see, e.g., Shah J 1989 Solid State Electron. 32 1051
2. Zwanzig R 1960 J. Chem. Phys. 33 1338
3. Prigogine I and Resibois I 1962 Non-Equilibrium Statistical Mechanics (New York: Interscience)
4. Klimontovich Yu L 1982 Kinetic Theory of Nonideal Gases and Nonideal Plasmas (Oxford: Pergamon)
5. Kuznetsov A V 1991 Phys. Rev. B 44 8721
6. Haug H and Ell C 1992 Phys. Rev. B 46 2126
7. Tran Thoai D B and Haug H 1993 Z. Phys. B 91 199
8. Binder R and Koch S W 1995 Prog. Quantum Electron. 19 307
9. Hartmann M and Schäfer W 1992 Phys. Status Solidi b 173 165
10. Banyai L, Tran Thoai D B, Remling C and Haug H 1992 Phys. Status Solidi b 173 149
11. Zimmermann R 1992 J. Lumin. 53 187
12. Schilp J, Kuhn T and Mahler G 1994 Phys. Rev. B 50 5435
13. Banyai L, Tran Thoai D B, Reitsamer E, Haug H, Steinbach D, Wehner M U, Wegener M, Marschner T and Stolz W 1995 Phys. Rev. Lett. 75 2188
14. El Sayed K, Banyai L and Haug H 1994 Phys. Rev. B 50 1541
15. El Sayed K, Schuster S, Haug H, Herzel F and Henneberger K 1994 Phys. Rev. B 49 7337
16. Manzke G, Henneberger K, Heeg J, El Sayed K, Schuster S and Haug H 1995 Phys. Status Solidi b 188 395
17. Schilp J, Kuhn T and Mahler G 1995 Phys. Status Solidi b 188 417 Mahan G D 1986 Many-Particle Physics (New York: Plenum)
18. Schilp J, Kuhn T and Mahler G 1995 Phys. Status Solidi b 188 417 Mahan G D 1986 Many-Particle Physics (New York: Plenum)
19. Bärwinkel K 1969 Z. Naturf. a 24 484
20. A part of the results has been presented by the current authors at the International Conference on Strongly Coupled Plasmas and is published in the proceedings: Kraeft W D, Schlanges M, Haberland H and Bornath T (ed) 1996 Physics of Strongly Coupled Plasma (Singapore: World Scientific)
21. Fetter A L and Walecka J D 1971 Quantum Theory of Many-Particle Systems (New York: McGraw-Hill)
22. Kadanoff L P and Baym G 1962 Quantum Statistical Mechanics (New York: Benjamin)
23. Danielewicz P 1984 Ann. Phys., NY 152 239, 305
24. Lipavski P, Spicka V and Velicky B 1986 Phys. Rev. B 54 6933
25. Köhler H S 1995 Phys. Rev. C 51 3232
26. Köhler H S 1996 Phys. Rev. E 53 3145
27. Bonitz M and Kremp D 1996 Phys. Lett. 212A 83
28. Bonitz M, Kremp D, Binder R, Kraeft W D and Köhler H S 1996 to be published
29. Kremp D, Bornath T, Bonitz M and Schlanges M 1996 to be published
30. Kremp D, Bonitz M, Kraeft W D and Schlanges M 1996 submitted
31. See, e.g., Meystre P and Sargent M III 1991 Elements of Quantum Optics 2nd edn (Berlin: Springer)
32. In the case of non-zero initial correlations, the initial conditions are more complex. One can incorporate them either by using an additional collision term or the procedure of imaginary time stepping proposed by Danielewicz [22]. In the latter case, the one-particle correlation function has to be given initially over a whole area in the t-t′ plane rather than at a single point.