The concept of collision strength and a unified kinetic calculation for hard-sphere interactions and inverse square force law interactions

Physics of Plasmas

Volumn 10, Issue 12, 2003, Pages 4645-4660

  Chang, Yongbin ^a  

^a UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVATION ENERGY; CHEMICAL REACTIONS; COMPUTER SIMULATION; INTEGRAL EQUATIONS; INTEGRATION; KINETIC THEORY; PLASMA STABILITY; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS; TEMPERATURE; VELOCITY;

COLLISION STRENGTH; HARD-SPHERE INTERACTIONS; INVERSE SQUARE FORCE LAW INTERACTIONS; IONIZATION ENERGY; MAXWELLIAN DISTRIBUTION;

PLASMA COLLISION PROCESSES;

EID: 0346421217     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1625647     Document Type: Article

References (60)

1. M. N. Rosenbluth, W. MacDonald, and D. Judd, Phys. Rev. 107, 1 (1957).
2. F. L. Hinton, in Handbook of Plasma Physics, edited by. A. A. Galeev and R. N. Sudan (McGraw-Hill, New York, 1983), Vol. 1, Chap. 1.5, p. 147.
3. S. Chandrasekhar, Astrophys. J. 97, 255 (1943).
4. S. Chandrasekhar, Principles of Stellar Dynamics (University of Chicago Press, Chicago, 1942), Chap. 2 and Sec. 5.7.
5. H. Grad, in Rarefied Gas Dynamics, edited by J. A. Laurmann (Academic, New York, 1963), Vol. 1, p. 26.
6. C. Cercignani, Mathematical Methods in Kinetic Theory (Plenum, New York, 1969), Chap. 3.
7. L. D. Landau, Phys. Z. Sowjetunion 10, 154 (1936)
8. L. D. Landau, in Collected Papers of L. D. LANDAU, edited by D. Ter Haar (Gordon and Breach, New York, 1965), p. 163.
9. J. D. Huba, NRL Plasma Formulary (Naval Research Laboratory, Washington, DC, 2000), Publ. 6790 00 426, p. 34.
10. L. Spitzer, Mon. Not. R. Astron. Soc. London 100, 396 (1940).
11. L. Spitzer, Jr., Physics of Fully Ionized Gases (Wiley-Interscience, New York, 1962), Chap. 5.
12. D. C. Montgomery and D. A. Tidman, Plasma Kinetic Theory (McGraw-Hill, New York, 1964), Chap. 2.
13. G. E. Cooper and P. T. Herman, Phys. Fluids 16, 118 (1973).
14. M. Psimopoulos, Phys. Lett. A 125, 258 (1987).
15. Y. B. Chang, Phys. Fluids B 4, 313 (1992).
16. Y. B. Chang, Y. P. Huo, and J. X. Liu, Commun. Theor. Phys. 20, 359 (1993).
17. Y. B. Chang and D. Li, Phys. Rev. E 53, 3999 (1996).
18. Y. B. Chang and C. A. Ordonez, Phys. Plasmas 6, 2947 (1999).
19. D. Li, Nucl. Fusion 41, 631 (2001).
20. C. D. Holland and R. G. Anthony, Fundamentals of Chemical reaction Engineering (Prentice-Hall, Englewood Cliffs, NJ, 1979), Chap. 12.
21. S. Arrhenius, Z. Phys. Chem., Stoechiom. Verwandtschaftsl. 4, 226 (1889).
22. R. Resnick and D. Halliday, Physics (Wiley, New York, 1967), p. 222.
23. K. Suchy and K. Rawer, J. Atmos. Terr. Phys. 33, 1853 (1971).
24. Y. B. Chang, Y. P. Huo, and G. Y. Yu, Phys. Fluids B 4, 3621 (1992).
25. L. C. Woods, Principles of Magnetoplasma Dynamics (Clarendon, Oxford, 1987).
26. S. Chapman and T. G. Cowling, in The Mathematical Theory of Non-Uniform Gas (Cambridge University Press, Cambridge, 1970), Chap. 5.
27. R. L. Liboff, in Kinetic Theory: Classical, Quantum, and Relativistic Descriptions, 2nd ed. (Wiley, New York, 1998), p. 140.
28. D. R. Nicholson, Introduction to Plasma Theory (Wiley, New York, 1983), p. 11.
29. Y. Chang and C. A. Ordonez, Phys. Rev. E 62, 8564 (2000).
30. Y. Chang and C. A. Ordonez, in Non-Neutral Plasma Physics 4, edited by F. Anderegg, L. Schweikhard, and C. F. Driscoll, AIP Conf. Proc. No. 606 (AIP, Melville, 2001), p. 550.
31. P. J. Davis, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 258.
32. P. J. Davis, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 260.
33. W. Gautshi, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 297.
34. C. J. Zamlutti, Planet. Space Sci. 47, 57 (1999).
35. M. R. Zaghloul, M. A. Bourham, and J. M. Doster, Phys. Lett. A 266, 34 (2000).
36. D. R. Nicholson, Introduction to Plasma Theory (Wiley, New York, 1983), Chap. 9.
37. Y.-D. Jung and W. Hong, J. Plasma Phys. 63, 79 (2000).
38. C.-G. Kim and Y.-D. Jung, Phys. Plasmas 7, 4303 (2000).
39. A. V. Vinogradov and V. P. Shevelko, Sov. Phys. JETP 44, 542 (1976).
40. J.-S. Yoon and Y.-D. Jung, Phys. Plasmas 5, 2480 (1998).
41. Y.-D. Jung and J.-S. Yoon, Phys. Plasmas 6, 3674 (1999).
42. J.-S. Yoon and Y.-D. Jung, Phys. Plasmas 6, 1627 (1999).
43. J. Zheng and C. X. Yu, Phys. Plasmas 7, 5259 (2000).
44. R. Balescu, Phys. Fluids 3, 52 (1960).
45. A. Lenard, Ann. Phys. (N.Y.) 10, 390 (1960).
46. C. A. Ordonez and M. I. Molina, Phys. Rev. Lett. 72, 2407 (1994).
47. A. V. Bobylev, I. F. Potapenko, and P. H. Sakanaka, Phys. Rev. E 56, 2081 (1997).
48. A. A. Frost and R. G. Pearson, Kinetics and Mechanisms (Wiley, New York, 1953), Chap. 4.
49. Y. Chang and C. A. Ordonez, Chem. Phys. 231, 27 (1998).
50. Y. Chang and C. A. Ordonez, in Application of Accelerator in Research and Industry, 15th Int'l Conference, edited by J. L. Duggan and I. L. Morgan, AIP Conf. Proc No. 475 (AIP, Melville, 1999), p. 887.
51. J. J. Thompson, Philos. Mag. 23, 449 (1912).
52. L. Vályi, Atom and Ion Sources (Akademiai Kiado, Budapest, 1977), p. 27.
53. J. D. Jackson, Classical Electrodynamics, 2nd ed. (Wiley, New York, 1974), Chaps. 13 and 15.
54. M. Littmann, The Heavens on Fire (Cambridge University Press, Cambridge, 2000), p. 231.
55. M. Abramowitz, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 12.
56. F. W. J. Olver, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 360.
57. P. J. Davis, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), pp. 260-262.
58. R. Zucker, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and A. I. Stegun (Wiley, New York, 1972), p. 85.
59. Y. L. Luke, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 485.
60. P. J. Davis, in Handbook of Mathematical Function with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (Wiley, New York, 1972), p. 263.