Hostname: page-component-78c5997874-4rdpn Total loading time: 0 Render date: 2024-11-17T22:19:53.386Z Has data issue: false hasContentIssue false

Comparative Study of Electron Bremsstrahlung in Various High ρ - T Potentials

Published online by Cambridge University Press:  12 April 2016

M. Lamoureux
Affiliation:
LSAI, University of Paris-Sud 91405 Orsay, France
R. Cauble
Affiliation:
Berkeley Research Associates Springfield, VA 22151, USA
L. Kim
Affiliation:
University of Pittsburgh Pittsburgh, PA 15260, USA
F. Perrot
Affiliation:
CEA Limeil 94190 Villeneuve St. Georges, France
R.H. Pratt
Affiliation:
University of Pittsburgh Pittsburgh, PA 15260, USA

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In order to calculate bremsstrahlung cross sections in plasmas, an atomic potential which includes the effects of the surrounding plasma is required. For the high ρ - T conditions we are considering (ne = 1025 cm−3, T = 500 ev), plasma correlative effects are important. In these strongly coupled plasmas, the Debye-Huckel potential is irrelevant and not considered here. The statistical Thomas-Fermi (TF) potential (Feynmann, Metropolis, and Teller, 1949) is known to be correct at very high densities but does not contain correlation information. A semiclassical treatment of correlations that accurately reproduces results of numerical simulations of strongly coupled plasmas is the hypernetted chain (HNC) approximation to the hierarchy of equations describing density distributions (Hansen and McDonald, 1981). The method generates many-body distributions using an analytic two-body interaction that successfully approximates quantum effects at short distances. These distributions are used in the Poisson equation to find the effective potential (Cauble, Blaha, and Davis, 1984). An alternative method (Gupta and Rajagopal, 1982) of including correlations is to treat them in a quantum mechanical manner, taking into account ion correlations as well as electron exchange and correlation; this is done in density functional theory (DFT), where electron wavefunctions and the effective potential which is used here are obtained self-consistently (Dharma-wardana and Perrot, 1982; Perrot and Dharma-wardana, 1984). Comparison of these methods can be found elsewhere (Cauble, Gupta, and Davis, 1984). These potentials for aluminum at 1025 cm−3 and 500 eV are displayed in Fig. 1.

Type
Session 6. Poster Papers
Copyright
Copyright © Naval Research Laboratory 1984. Publication courtesy of the Naval Research Laboratory, Washington, DC.

References

Cauble, R., Blaha, M., and Davis, J. 1984, Phys. Rev. A 29, 3280.CrossRefGoogle Scholar
Cauble, R., Gupta, U., and Davis, J. 1984, Proceedings of IAU Colloquium No. 86, Washington, D.C., this volume.CrossRefGoogle Scholar
Dharma-wardana, M.W.C., and Perrot, F. 1982, Phys. Rev. A 26, 2096.CrossRefGoogle Scholar
Feng, I.J., Lamoureux, M., Pratt, R.H., and Tseng, H.K. 1983, Phys. Rev. A 27, 3209.CrossRefGoogle Scholar
Feynmann, R.F., Metropolis, N., and Teller, E. 1949, Phys. Rev. 75, 1501.Google Scholar
Gupta, U. and Rajagopal, A.K. 1982, Phys. Rep. 87, 259.CrossRefGoogle Scholar
Hansen, J.P. and McDonald, I.R. 1981, Phys. Rev. A 23, 2041.CrossRefGoogle Scholar
Lamoureux, M. and Pratt, R.H. 1983, Proceedings of the 2nd Int’l. Conference on the Radiative Properties of Hot Dense Matter, Sarasota (to be published in J. Quant. Spectros. Rad. Trans.).Google Scholar
Perrot, F. and Dharma-wardana, M.W.C. 1984, Phys. Rev. A 29, 1378.CrossRefGoogle Scholar
Pratt, R.H. 1983, Fundamental Processes in Energetic Atomic Collisions, ed. by Lutz, H.O., Briggs, J.S., and Kleinpoppen, H. (Plenum Press, New York).Google Scholar