Plasma effects on atomic reaction rates in hydrogen plasmas

Jun Li; Yukap Hahn

doi:10.1103/PhysRevE.48.2934

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Plasma effects on atomic reaction rates in hydrogen plasmas

Jun Li and Yukap Hahn

Physics Department, University of Connecticut, Storrs, Connecticut 06269

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Phys. Rev. E 48, 2934 – Published 1 October, 1993

DOI: https://doi.org/10.1103/PhysRevE.48.2934

Abstract

The perturbative effects of plasma electrons and ions on the effective capture and ionization rates in hydrogen plasma are analyzed. A simple model of hydrogen plasma is constructed to extract the salient features of the system, which is assumed to be in local thermal equilibrium. The interplay between the collisional and radiative processes as functions of the electron temperature and density is explicitly demonstrated. A large increase in the collisional radiative recombination rates at high density and low temperature is caused by (i) the shift in the dominant capture mechanism from the radiative to collisional cascade, and (ii) the presence of upper states in Saha equilibrium which act as a reservoir of population flux. Different sets of effective rates which reflect the approximate structure of the rate equations are evaluated, stressing the relationship between the rate coefficients and the rate equations. When the angular-momentum sublevels are averaged over, because of rapid l-changing collisions, the ion field distortion effect is shown to be negligible, in the lowest order approximation.

References (27)

Y. Hahn, in Recombination of Atomic Ions, Vol. 296 of NATO Advanced Science Institute, Series B: Physics, edited by W. Graham . (Plenum, New York, 1992) p. 11.
D. R. Bates, A. E. Kingston, and R. W. P. McWhirter, Proc. R. Soc. London, Ser. A 267, 297 (1962); D. R. Bates and A. E. Kingston, Planet. Space Sci. 2, 1 (1965); D. R. Bates and A. Dalgarno, Atomic and Molecular Processes, edited by D. R. Bates (Academic Press, New York, 1962), p. 245.
L. C. Johnson and E. Hinnov, J. Quant. Spectrosc. Radiat. Transfer, 13, 333 (1973); H. W. Drawin and F. Emard, Physica B+C 85, 333 (1977); Z. Phys. 243, 326 (1971).
K. LaGattuta and Y. Hahn, Phys. Rev. Lett. 51, 558 (1983); K. LaGattua, I. Nasser and Y. Hahn, J. Phys. B 20, 1565 (1987); ibid. 20, 1577 (1987); Y. Hahn and K. LaGattuta, Phys. Rep. 166, 195 (1988).
G. H. Dunn, Electron and Atomic Collisions, edited by D. C. Lorentz et al. (North-Holland, Amsterdam 1986), p. 23; A. Muller, Physics of Electronic and Atomic Collisions, edited by A. Dalgarno (AIP, New York, 1990), p. 418; D. R. Belic et al., Phys. Rev. Lett. 50, 339 (1983).
B. Mitchell et al., Phys. Rev. Lett. 50, 335 (1983).
P. Dittner et al., Phys. Rev. Lett. 51, 31 (1983).
P. Krstic and Y. Hahn, Phys. Rev. A (to be published).
L. P. Pitaevski, Zh. Eksp. Teor. Fiz. 42, 1326 (1962) [Sov. Phys.—JETP 15, 919 (1962)]; A. V. Gurevitch and L. P. Pitaevski, Zh. Eksp. Teor. Fiz. 46, 1281 (1964) [Sov. Phys. JETP 19, 870 (1964)].
L. M. Biberman et al., Usp. Fiz. Nauk 107, 353 (1973) [Sov. Phys. Usp. 15, 375 (1973)]; , ibid. 107, 353 (1973) [ibid. 22, 411 (1979) [128, 233 (1979)]; L. M. Biberman, V. S. Vorob'ev, and I. T. Yakubov, Kinetics of Nonequilibrium Low-Temperature Plasmas (Consultant Bureau, 1987).
A. Burgess and H. Summers, Astrophys. J. 157, 1007 (1969).
V. A. Godyak, R. B. Picjak, and B. M. Alexandrovich, Phys. Rev. Lett. 68, 40 (192); V. A. Godyak and A. S. Khanneh, J. Phys. (Paris) Colloq. 40, C7-125; 40, C7-197 (1979).
M. Baranger, Phys. Rev. 111, 481; 111, 494 (1958); in Atomic and Molecular Processes, edited by D. R. Bates (Academic Press, New York, 1962), Chap. 13.
H. Griem, Plasma Spectroscopy (McGraw-Hill, New York, 1964); Spectral Line Broadening by Plasmas (Academic Press, New York, 1974); A. C. Komb and H. Griem, Phys. Rev. 111, 514 (1958).
G. Peach, Adv. Phys. 30, 367 (1981).
Y. Hahn and P. Krstic, Phys. Scr. (to be published).
J. Li and Y. Hahn (unpublished).
J. Li and Y. Hahn (unpublished).
H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One and Two Electron Atoms (Springer-Verlag, Berlin, 1957).
L. C. Greene, P. P. Rush and C. D. Chandler, Astrophys. J. Suppl. 3, 37 (1957).
D. E. Post et al., At. Data Nucl. Data Tables 20, 397 (1977).
Pengelly and M. Seaton, Mon. Not. R. Astron. Soc. 127, 165 (1964).
G. Flamond, J. Math. Phys. 7, 1924 (1966).
A. P. Stone, Proc. Cambridge Philos. Soc. 52, 424 (1956).
J. W. B. Hughes, Proc. Phys. Soc. London 91, 810 (1967).
Y. Hahn and P. Krstic (unpublished).
K. Greenberg and G. A. Hebner (unpublished); P. J. Drallos and M. E. Riley (unpublished).

[c1] Y. Hahn, in Recombination of Atomic Ions, Vol. 296 of NATO Advanced Science Institute, Series B: Physics, edited by W. Graham . (Plenum, New York, 1992) p. 11.

[c2] D. R. Bates, A. E. Kingston, and R. W. P. McWhirter, Proc. R. Soc. London, Ser. A 267, 297 (1962); D. R. Bates and A. E. Kingston, Planet. Space Sci. 2, 1 (1965); D. R. Bates and A. Dalgarno, Atomic and Molecular Processes, edited by D. R. Bates (Academic Press, New York, 1962), p. 245.

[c3] L. C. Johnson and E. Hinnov, J. Quant. Spectrosc. Radiat. Transfer, 13, 333 (1973); H. W. Drawin and F. Emard, Physica B+C 85, 333 (1977); Z. Phys. 243, 326 (1971).

[c4] K. LaGattuta and Y. Hahn, Phys. Rev. Lett. 51, 558 (1983); K. LaGattua, I. Nasser and Y. Hahn, J. Phys. B 20, 1565 (1987); ibid. 20, 1577 (1987); Y. Hahn and K. LaGattuta, Phys. Rep. 166, 195 (1988).

[c5] G. H. Dunn, Electron and Atomic Collisions, edited by D. C. Lorentz et al. (North-Holland, Amsterdam 1986), p. 23; A. Muller, Physics of Electronic and Atomic Collisions, edited by A. Dalgarno (AIP, New York, 1990), p. 418; D. R. Belic et al., Phys. Rev. Lett. 50, 339 (1983).

[c6] B. Mitchell et al., Phys. Rev. Lett. 50, 335 (1983).

[c7] P. Dittner et al., Phys. Rev. Lett. 51, 31 (1983).

[c8] P. Krstic and Y. Hahn, Phys. Rev. A (to be published).

[c9] L. P. Pitaevski, Zh. Eksp. Teor. Fiz. 42, 1326 (1962) [Sov. Phys.—JETP 15, 919 (1962)]; A. V. Gurevitch and L. P. Pitaevski, Zh. Eksp. Teor. Fiz. 46, 1281 (1964) [Sov. Phys. JETP 19, 870 (1964)].

[c10] L. M. Biberman et al., Usp. Fiz. Nauk 107, 353 (1973) [Sov. Phys. Usp. 15, 375 (1973)]; , ibid. 107, 353 (1973) [ibid. 22, 411 (1979) [128, 233 (1979)]; L. M. Biberman, V. S. Vorob'ev, and I. T. Yakubov, Kinetics of Nonequilibrium Low-Temperature Plasmas (Consultant Bureau, 1987).

[c11] A. Burgess and H. Summers, Astrophys. J. 157, 1007 (1969).

[c12] V. A. Godyak, R. B. Picjak, and B. M. Alexandrovich, Phys. Rev. Lett. 68, 40 (192); V. A. Godyak and A. S. Khanneh, J. Phys. (Paris) Colloq. 40, C7-125; 40, C7-197 (1979).

[c13] M. Baranger, Phys. Rev. 111, 481; 111, 494 (1958); in Atomic and Molecular Processes, edited by D. R. Bates (Academic Press, New York, 1962), Chap. 13.

[c14] H. Griem, Plasma Spectroscopy (McGraw-Hill, New York, 1964); Spectral Line Broadening by Plasmas (Academic Press, New York, 1974); A. C. Komb and H. Griem, Phys. Rev. 111, 514 (1958).

[c15] G. Peach, Adv. Phys. 30, 367 (1981).

[c16] Y. Hahn and P. Krstic, Phys. Scr. (to be published).

[c17] J. Li and Y. Hahn (unpublished).

[c18] J. Li and Y. Hahn (unpublished).

[c19] H. A. Bethe and E. E. Salpeter, Quantum Mechanics of One and Two Electron Atoms (Springer-Verlag, Berlin, 1957).

[c20] L. C. Greene, P. P. Rush and C. D. Chandler, Astrophys. J. Suppl. 3, 37 (1957).

[c21] D. E. Post et al., At. Data Nucl. Data Tables 20, 397 (1977).

[c22] Pengelly and M. Seaton, Mon. Not. R. Astron. Soc. 127, 165 (1964).

[c23] G. Flamond, J. Math. Phys. 7, 1924 (1966).

[c24] A. P. Stone, Proc. Cambridge Philos. Soc. 52, 424 (1956).

[c25] J. W. B. Hughes, Proc. Phys. Soc. London 91, 810 (1967).

[c26] Y. Hahn and P. Krstic (unpublished).

[c27] K. Greenberg and G. A. Hebner (unpublished); P. J. Drallos and M. E. Riley (unpublished).

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