Abstract
The atomic populations are the fundamental quantities for various different disciplines in science and applications. Although the rate equation model has widely been employed, it has principal deficiencies as it considers only populations related to the squared of the wave functions, while all mixed populations (coherences) are missing. In plasmas, however, large effects of strong plasma electric microfields on atomic (usually highly charged ions) energy levels are encountered that require more advanced descriptions, e.g., energy level evolution under the action of a quasi-static electric ion field including coherence effects. For real systems, these phenomena cannot be described consistently in the framework of the Schrödinger picture but request the density matrix description in contrast to the standard population balance rate equations. The general system of density matrix equations, however, is extremely challenging. It is demonstrated that the system can be transformed to a standard form of population kinetic rate equations with additional terms describing the effect of the ion electric field, the so-called quantum F-matrix theory (QFMT) allowing to construct real (large) closed model systems. The density matrix approach results in a new understanding of the fundamental physical problem connected with the transition of atomic populations to the Boltzmann equilibrium in dense plasmas. The standard transition is provided by electron collisions only satisfying the principle of detailed balance related to a statistical population of energy levels over magnetic quantum numbers. However, the effect of static electric fields on the atomic population is selective in magnetic quantum numbers resulting in a destruction of statistical Boltzmann populations. The interplay between the statistical effect of electrons and non-statistical effect of quasi-static ions is illustrated in detail for autoionizing atomic states of highly charged ions in dense laser-produced plasmas.
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References
A.N. Antia, Rational function approximations for Fermi-Dirac integrals. Astrophys. J. Suppl. Ser. 84, 101 (1993)
A.N. Anufrienko, A.L. Godunov, A.V. Demura, Y.K. Zemtsov, V.S. Lisitsa, A.N. Starostin, M.D. Taran, V.A. Shchipakov, Nonlinear interference effects in Stark broadening of ion lines in a dense plasma. Sov. Phys. JETP 71, 728 (1990)
A.N. Anufrienko, A.E. Bulyshev, A.L. Godunov, A.V. Demura, Y.K. Zemtsov, V.S. Lisitsa, A.N. Starostin, Nonlinear interference effects and ion dynamics in the kinetic theory of Stark broadening of the spectral lines of multicharged ions in a dense plasma. Sov. Phys. JETP 76, 219 (1993)
E.K. Akhmedov, A.L. Godunov, Y.K. Zemtsov, V.A. Makhrov, A.N. Starostin, M.D. Taran, Profile of the Lyα line of hydrogen-like ions in a dense plasma with allowance for the fine structure and the Lamb shift. Sov. Phys JETP 62, 266 (1985)
M. Baranger, Problem of overlapping lines in the theory of pressure broadening. Phys. Rev. 111, 494 (1958)
G. Bekefi, Radiation Processes in Plasmas (Wiley, New York, 1966)
V.A. Boiko, A.V. Vinogradov, S.A. Pikuz, I.Y. Skobelev, A.Ya. Faenov, X-ray spectroscopy of laser produced plasmas. J. Sov. Laser Research 6, 82 (1985)
A. Brissaud, U. Fritsch, Theory of Stark Broadening II. - Exact Line Profile with Model Microfield. JQSRT 11, 1767 (1971)
L.A. Bureyeva, V.S. Lisitsa, A Perturbed Atom. In: Astrophysics and Space Science Reviews 11 (2000)
L.D. Cloutman, Numerical evaluation of the Fermi-Dirac integrals. Astrophys. J. Suppl. Ser. 71, 677 (1989)
J. Cooper, G.K. Oertel, Electron impact broadening of isolated lines of neutral atoms in a plasma. Phys. Rev. 180, 286 (1969)
R.D. Cowan, The Theory of Atomic Structure and Spectra (University of California Press, Berkely, 1981)
A.S. Dawydow, Quantum Mechanics (1981)
C. de Michelis, M. Mattioli, Soft-X-ray spectroscopy of laboratory plasmas. Nucl. Fusion 21, 677 (1981)
E.L. Degl’Ionnocenti, M. Landolfi, Polarization in Spectral Lines (Kluwer Academic Publishers, Dordrecht, 2004)
A.V. Demura, Physical models of plasma microfield. Int. J. Spectrosc. Rev. 42 (2010). https://doi.org/10.1155/2010/671073 (Article ID 671073)
C. Deutsch, L. Herman, H.-W. Drawin, Electron-impact broadening of overlapping HeI lines in plasmas. Phys. Rev. 178, 261 (1969a)
C. Deutsch, L. Herman, H.-W. Drawin, Asymptotic behavior of generalized width and shift functions in the electron-impact broadening theory of neutral spectral lines in plasmas. Phys. Rev. 186, 204 (1969b)
R.P. Drake, High-Energy-Density Physics (Springer, 2018)
T. Fujimoto, A. Iwamae, Plasma Polarization Spectroscopy (Springer, Berlin, 2008)
H.R. Griem, Plasma Spectroscopy (McGraw-Hill Book Company, New York, 1964)
H.R. Griem, Semiempirical formulas for the electron-impact widths and shifts of isolated ion lines in plasmas. Phys. Rev. 165, 258 (1968)
H.R. Griem, Spectral Line Broadening by Plasmas (Academic Press, New York, London, 1974)
H.R. Griem, Principles of Plasma Spectroscopy (Cambridge University Press, New York, 1997)
H.R. Griem, M. Blaha, P.C. Kepple, Stark-profile calculations for Lyman-series lines of one-electron ions in dense plasmas. PRA 19, 2421 (1979)
H.R. Griem, K.Y. Shen, Stark broadening of hydrogen lines in a plasma. Phys. Rev. 116, 4 (1959)
M.F. Gu, The flexible atomic code. Can. J. Phys. 86, 675 (2008)
C.F. Hooper, Electric microfield distributions in plasmas, J. Phys. Rev. 149, 77 (1966)
C.F. Hooper Jr., Low-frequency component electric microfield distributions in plasmas. Phys. Rev. 165, 215 (1968)
I.N. Kosarev, V.S. Lisitsa, Model mircofield method for atomic state kinetics in dense plasmas: analytical solutions. J. Phys. B: At. Mol. Opt. Phys. 29, 1183 (1996)
V.I. Kogan, V.S. Lisitsa, A.D. Selidovkin, Two-level system with damping in a plasma. Sov. Phys. JETP 38, 76 (1973)
V.S. Lisitsa, Stark broadening of hydrogen lines in plasmas. Sov. Phys. Usp. 20, 603 (1977)
V.S. Lisitsa, Atoms in Plasmas (Springer, New York, 1994)
R. Loudon, The Quantum Theory of Light, 3rd edn. (Oxford Science Publications, 2000)
R.W.P. McWhirter, Spectral intensities, in Plasma Diagnostic Techniques, ed. by R.H. Huddelstone, S.L. Leonard (Academic Press, New York, 1965)
D. Mihalas, Stellar Atmospheres, 2nd edn. (W.H. Freeman, San Francisco, 1978)
D. Mihalas, B. Weibel-Mihalas, Foundations of Radiation Hydrodynamics (Dover Publications Inc., New York, 1999)
H. Muirhead, The Principles of Elementary Particles (1965)
A.Y. Potekhin, G. Chabrier, D. Gilles, Electric microfield distributions in electron-ion plasmas. Phys. Rev. E 65, 036412 (2002)
S.G. Rautian, A.M. Shalagin, Kinetic Problems of Non-linear Spectroscopy (North-Holland, 1991)
O. Renner, R. Liska, F.B. Rosmej, Laser-produced plasma-wall interaction. Laser Part. Beams 27, 725 (2009)
O. Renner, F.B. Rosmej, Challenges of X-ray spectroscopy in investigations of matter under extreme conditions. Matter Radiat. Extrem. Rev. 4, 024201 (2019)
F.B. Rosmej, Exotic states of high density matter driven by intense XUV/X-ray free electron lasers, in Free Electron Laser, InTech 2012, ed. by S. Varró (2012a), pp. 187–212. ISBN 978-953-51-0279-3
F.B. Rosmej, X-ray emission spectroscopy and diagnostics of non-equilibrium fusion and laser produced plasmas, in Highly Charged Ion Spectroscopic Research, ed. by Y. Zou, R. Hutton (Taylor and Francis, 2012b), pp. 267–341. ISBN: 978-1-4200-7904-3
F.B. Rosmej, R.W. Lee, D.H.G. Schneider, Fast X-ray emission switches driven by intense X-ray free electron laser radiation. High Energy Density Phys. 3, 218 (2007)
F.B. Rosmej, B. Deschaud, K. Bennadji, P. Indelicato, J.P. Marquès, Study of electric dipole matrix elements of He-like ions for X-ray line shape calculations. Phys. Rev. A 87, 022515 (2013)
F.B. Rosmej, R. Dachicourt, B. Deschaud, D. Khaghani, M. Dozières, M. Smîd, O. Renner, Exotic X-ray emission from dense plasmas. J. Phys. B: Rev. Spec. Top. 48, 224005 (2015)
F.B. Rosmej, R.W. Lee, Hollow ion emission driven by pulsed X-ray radiation fields. Europhys. Lett. 77, 24001 (2007)
F.B. Rosmej, Y. Aouad, S. Ongala-Edoumou, A. Demura, V.S. Lisitsa, Private communications 2008–2019
D. Salzmann, Atomic Physics in Hot Plasmas (Oxford University Press, New York, 1988)
S. Sahal-Bréchot, M.S. Dimitrijevic, N.B. Nessib, Width and shifts of isolated lines of neutral and ionized atoms perturbed by collisions with electrons and ions: an outline of the semiclassical perturbation (SCP) method and of the approximations used for the calculations. Atoms 2, 225 (2015)
G.V. Sholin, A.V. Demura, V.S. Lisitsa, Theory of stark broadening of hydrogen lines in plasma. Sov. Phys. JETP 37, 1057 (1973)
E.W. Smith, C.F. Hooper, Relaxation theory of spectral line broadening in plasmas. Phys. Rev. 157, 126 (1967)
I.I. Sobelman, Theory of Atomic Spectra (Alpha Science International Ltd., Oxford, UK, 2006)
I.I. Sobelman, L.A. Vainshtein, Excitation of Atomic Spectra (Alpha Science International Ltd., Oxford, UK, 2006)
A. Sommerfeld, Thermodynamics and Statistical Mechanics. Lectures on Theoretical Physics V (Academic Press, New York, 1971)
A. Unsöld, Physik der Sternatmosphären (Springer, Berlin, 1955)
L.A. Vainshtein, V.P. Shevelko, The structure and characteristics of ions in hot plasmas. Phys. Techn. Spektrosc. (1986) (in Russian)
V. Weisskopf, Die Streuung des Lichts an ageregten Atomen. Z. Phys. 85, 451 (1933)
Y.B. Zel’dovich, Y.P. Raizer, Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena (Dover Publications Inc., 2002)
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Rosmej, F.B., Astapenko, V.A., Lisitsa, V.S. (2021). Quantum Atomic Population Kinetics in Dense Plasmas. In: Plasma Atomic Physics. Springer Series on Atomic, Optical, and Plasma Physics, vol 104. Springer, Cham. https://doi.org/10.1007/978-3-030-05968-2_7
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