Strongly Coupled Plasma Physics pp 493-509 | Cite as

# Electric Microfield Distributions

## Abstract

Recent research on controlled fusion by inertial confinement has stimulated renewed consideration of atomic phenomena in hot, dense plasmas. In many cases the dominant coupling of the atom to its plasma environment is through the atomic dipole interaction with the local electric microfield. The electric microfield distribution (probability density for a given field value) is therefore an important property of the plasma for description of such atomic processes as emission and absorption of radiation. Prior to laser-produced plasmas, typical laboratory experiments involved only weakly coupled plasmas and quite accurate theories were available to calculate the microfield distributions under such conditions^{1,2}. These theories fail for strongly-coupled plasmas and present research has focused on calculations for more extreme plasma conditions. Progress in this direction was initiated by Iglesias, et. al.^{3,4} who proposed a method for ion fields at charged points, which gives excellent agreement with computer simulations of strongly coupled classical one component plasmas (OCP) in two and three dimensions. Extension of this method to multi-component plasmas also proved fruitful^{5}. Subsequently, others have addressed related aspects of microfields in dense plasmas such as ion fields at neutral points, electron fields^{7}, effects of atomic structure^{8}, and quantum degeneracy^{9,10}. The objective here is to review these developments in a general context, to clarify some of the approximations used, and to identify some of the remaining problems.

### Keywords

Argon Covariance Assure Rium Neon## Preview

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### References

- 1.M. Baranger and B. Mozer, Phys. Rev. 115, 521 (1959)ADSMATHCrossRefGoogle Scholar
- 1a.B. Mozer and M. Baranger, Phys. Rev. 118, 626 (1960)MathSciNetADSMATHCrossRefGoogle Scholar
- 1b.H. Margenau and M. Lewis, Rev. Mod. Phys. 31, 569 (1959)ADSMATHCrossRefGoogle Scholar
- 1c.H. Pfenning and E. Trefftz, Z. Naturf 219, 697 (1966).ADSGoogle Scholar
- 2.C. F. Hooper, Jr. Phys. Rev. 149, 77 (1966)ADSCrossRefGoogle Scholar
- 2a.C. F. Hooper, Jr. Phys. Rev.165, 215 (1968)ADSCrossRefGoogle Scholar
- 2b.C. A. Iglesias and C. F. Hooper Phys. Rev. A25, 1049 (1982).ADSGoogle Scholar
- 3.C. A. Iglesias, Phys. Rev. A27, 2705 (1983).MathSciNetADSGoogle Scholar
- 4.C. A. Iglesias, J. L. Lebowitz, and D. MacGowan, Phys. Rev. A28,1667 (1983).MathSciNetADSGoogle Scholar
- 5.C. A. Iglesias and J. L. Lebowitz, Phys. Rev. A30, 2001 (1984).ADSGoogle Scholar
- 6.J. W. Dufty, D. B. Boercker, and C. A. Iglesias, Phys. Rev. A31, 1681 (1985).ADSGoogle Scholar
- 7.X-Z Yan and S. Ichimaru, Phys. Rev. A34, 2167 (1986).ADSGoogle Scholar
- 8.M. W. C. Dharma-wardana and F. Perrot, Phys. Rev. A33, 3303 (1986).ADSGoogle Scholar
- 9.D. B. Boercker and J. W. Dufty, in Radiactive Properties of Hot, Dense Matter, J. Davis, et. al., editors (World Scientific Pub. Co., Singapore, 1985)Google Scholar
- 9a.D. B. Boercker and J. W. Dufty,and in Spectral Line Shapes, Vol. 2, K. Burnett, editor (W. de Gruyter, NY, 1983).Google Scholar
- 10.B. Held, M. Gombert, and C. Deutsch, Phys. Rev. A31, 921 (1985).ADSGoogle Scholar
- 11.J..W. Dufty in Proceedings of CECAM Workshops on U.V. and X-Ray Spectra of Hot and Dense Plasmas (Orsay, France, 1976)Google Scholar
- 11a.C. A. Iglesias and J. W. Dufty in Spectral Line Shapes, Vol. 2,K. Burnett, editor (de Gruyter, NY, 1983).Google Scholar
- 12.The plasma parameter is defined here by Γ= (e2
*/ℓ0*)/(2K/3), where*ℓ0*is the average interparticle distance and K is the average kinetic energy per particle. In the high temperature limit Γ→(e2*/ℓ0*)/(kBT) which is the usual classical plasma parameter. In the low temperature limit Γ→1.35 rs where rs is the usual zero temperature coupling constant.Google Scholar - 13.See, for example, A. Haur in Spectral Line Shapes, B. Wende, editor (de Gruyter, Berlin, 1981).Google Scholar
- 14.R. J. Trainor, J. W. Shaner, J. M. Auerbach, and N. C. Holmes, Phys. Rev. Lett 42, 1154 (1979).ADSCrossRefGoogle Scholar
- 15.J. P. Hansen and I. McDonald, Theory of Simple Liquids, (Academic Press, NY, 1976).Google Scholar
- 16.F. J. Rogers, J. Chem. Phys. 73, 6272 (1980).ADSCrossRefGoogle Scholar
- 17.S. Ichimaru, Rev. Mod. Phys. 54, 1017 (1982)ADSCrossRefGoogle Scholar
- 17a.M. Baus and J. P. Hansen, Phys. Rev. 59, 1 (1980).MathSciNetGoogle Scholar
- 18.S. Ichimaru, S. Mitake, S. Tanaka, and X-Z Yan, Phys. Rev. A32, 1768 (1985)ADSGoogle Scholar
- 18a.ibid A32, 1775 (1985).Google Scholar
- 19.M. W. C. Dharma-wardana and F. Perrot, Phys. Rev. A26, 2096 (1982)ADSGoogle Scholar
- 19a.ibid A29, 1378 (1984).Google Scholar
- 20.H. R. Griem, Spectral Line Broadening by Plasmas, (Academic Press, NY, 1974).Google Scholar
- 21.Doppler effects have been deleted from this expression for notational simplicity their inclusion is straightforward and does not change any of the following discussion.Google Scholar
- 22.E. Smith, J. Cooper, and C. Vidal, Phys. Rev. 185, 140 (1969)ADSCrossRefGoogle Scholar
- 22a.D. Voslamber, Z. Naturf 249, 1458 (1969)ADSGoogle Scholar
- 22b.T. Hussey, J. W. Dufty, and C. F. Hooper, Phys. Rev. A12, 1084 (1975)ADSGoogle Scholar
- 22c.J. W. Dufty and D. B. Boercker, J. Quant. Spectrosc. Radiat. Trans. 16, 1065 (1976).ADSCrossRefGoogle Scholar
- 23.A. Brissaud and V. Frisch, J. Quant. Spectrosc. Radiat. Transf. 11, 1761 (1971).ADSCrossRefGoogle Scholar
- 24.J. Seidel, Z. Naturforsch 32a, 1207 (1977).ADSGoogle Scholar
- 25.J. W. Dufty in Spectral Line Shapes, Vol. 1, B. Wende, editor (W. de Gruyter, Berlin, 1981).Google Scholar
- 26.A. Isihara, Statistical Physics (Academic Press, N.Y., 1971).Google Scholar
- 27.The discussion here is limited to methods applicable even for very strongly coupled plasmas (e.g., Γ > 10).Some other methods are available for the intermediate coupling range of Γ ~ 1. See, for example, F. Perrot and M. W. C. Dharma-wardana, Physica 134A, 231 (1985).ADSGoogle Scholar
- 28.A. Alastuey, C. Iglesias, J. Lebowitz, and D. Levesque, Phys. Rev. A30, 2537 (1984).ADSGoogle Scholar
- 29.H. C. Anderson and D. Chandler, J. Chem. Phys. 57, 1918 (1972).ADSCrossRefGoogle Scholar
- 30.F. Lado (preprint, and elsewhere in this volume).Google Scholar
- 31.J. L. Lebowitz and J. K. Percus, Phys. Rev. 144, 251 (1966).ADSCrossRefGoogle Scholar
- 32.T. L. Hill, Statistical Mechanics, (McGraw-Hill, NY, 1956).MATHGoogle Scholar
- 33.D. B. Boercker (private communication).Google Scholar
- 34.E. Pollock (private communication).Google Scholar
- 35.M. Gombert, H. Minoo, and C. Deutsch, Phys. Rev. A29, 940 (1984)ADSGoogle Scholar
- 35a.M. Gombert, H. Minoo, and C. Deutsch, Phys. Rev.A23, 924 (1981).ADSGoogle Scholar
- 36.More generally the local field correction is a function of frequency as well as wavevector see Ref. 17 for a discussion of approximations that neglect the frequency.Google Scholar
- 37.R. J. Tighe and C. F. Hooper, Phys. Rev. A15, 1773 (1977).ADSGoogle Scholar
- 38.D. B. Boercker and R. M. More, Phys. Rev. A33, 1859 (1986).MathSciNetADSGoogle Scholar