Accuracy of one-dimensional collision integral in the rigid-sphere approximation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 1, 2007, Pages

  Belai, O V ^a   Schwartz, O Y ^a   Shapiro, D A ^a  

^a INSTITUTE OF AUTOMATION AND ELECTROMETRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; INTEGRAL EQUATIONS; PLASMA COLLISION PROCESSES; PROBLEM SOLVING; VELOCITY CONTROL;

COLLISION KERNEL; LINEARIZED BOLTZMANN EQUATION; LOW COLLISION FREQUENCY; RIGID SPHERE MODELS;

APPROXIMATION THEORY;

EID: 34547573294     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.012513     Document Type: Article

References (35)

1. C. E. Siewert, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1567284 15, 1696 (2003).
2. F. Sharipov, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.026110 73, 026110 (2006).
3. R. D. M. Garcia and C. E. Siewert, Phys. Fluids PHFLE6 1070-6631 10.1063/1.2511039 19, 027102 (2007).
4. L. Bonamy, H. Tran Thi Ngoc, P. Joubert, and D. Robert, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2004-00148-5 31, 459 (2004).
5. H. Tran, P. Joubert, L. Bonamy, B. Lavorel, V. Renard, F. Chaussard, O. Faucher, and B. Sinardet, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1894020 122, 194317 (2005).
6. R. Wehr, R. Ciurylo, A. Vitcu, F. Thibault, D. A. Shapiro, W.-K. Liu, F. R. W. McCourt, J. R. Drummond, and A. D. May, in Proceedings of the 18th International Conference on Spectral Line Shapes, Auburn, 2006, AIP Conf. Proc. No. 874 (AIP, College Park, MD, 2006), pp. 190-204.
7. D. Lisak, J. T. Hodges, and R. Ciurylo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012507 73, 012507 (2006).
8. S. G. Rautian and I. I. Sobelman, Usp. Fiz. Nauk UFNAAG 0042-1294 90, 209 (1966)
9. S. G. Rautian and I. I. Sobelman, [Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/PU1967v009n05ABEH003212 9, 701 (1967)].
10. S. G. Rautian and A. M. Shalagin, Kinetic Problems of Non-linear Spectroscopy (North-Holland, Amsterdam, 1991).
11. M. Nelkin and A. Ghatak, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.135. A4 135, A4 (1964).
12. L. Galatry, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.122.1218 122, 1218 (1961).
13. J. Keilson and J. E. Storer, Q. J. Mech. Appl. Math. QJMMAV 0033-5614 10, 243 (1952).
14. A. P. Kol'chenko, S. G. Rautian, and A. M. Shalagin (unpublished).
15. A. Brissaud and U. Frisch, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666678 15, 524 (1974).
16. P. R. Berman, T. W. Mossberg, and S. R. Hartmann, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.25.2550 25, 2550 (1982)
17. P. R. Berman, T. W. Mossberg, and S. R. Hartmann, [Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.29.2932 29, 2932 (E) (1984)].
18. P. F. Liao, J. E. Bjorkholm, and P. R. Berman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.21.1927 21, 1927 (1980).
19. D. A. Shapiro and A. D. May, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.012701 63, 012701 (2001).
20. T. Privalov and A. Shalagin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4331 59, 4331 (1999).
21. A. I. Parkhomenko and A. M. Shalagin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 118, 279 (2000)
22. A. I. Parkhomenko and A. M. Shalagin, [J. Exp. Theor. Phys. JTPHES 1063-7761 10.1134/1.1311983 91, 245 (2000)].
23. A. I. Parkhomenko and A. M. Shalagin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 120, 830 (2001)
24. A. I. Parkhomenko and A. M. Shalagin, [J. Exp. Theor. Phys. JTPHES 1063-7761 10.1134/1.1420441 93, 723 (2001)].
25. R. Wehr, A. Vitcu, R. Ciurylo, F. Thibault, J. R. Drummond, and A. D. May, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.062502 66, 062502 (2002).
26. H. Bateman, Higher Transcendental Functions (McGraw-Hill, New York, 1953).
27. S. G. Rautian, Usp. Fiz. Nauk UFNAAG 0042-1294 161, 151 (1991)
28. S. G. Rautian, [Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/ PU1991v034n11ABEH002508 34, 1008 (1991)].
29. M. J. Lindenfeld, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.440066 73, 5817 (1980).
30. M. J. Lindenfeld and B. Shizgal, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.27.1657 27, 1657 (1983).
31. R. Ciurylo, D. A. Shapiro, J. R. Drummond, and A. D. May, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.012502 65, 012502 (2002).
32. G. Golub and C. F. Van Loan, Matrix Computations, 3rd ed. (Johns Hopkins University Press, Baltimore, MD, 1996).
33. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in Fortran (Cambridge Univesrsity Press, Cambridge, 1992).
34. V. A. Alekseev and A. V. Malyugin, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 80, 897 (1981)
35. V. A. Alekseev and A. V. Malyugin, [Sov. Phys. JETP SPHJAR 0038-5646 53, 456 (1981)].