Skip to main content
SpringerLink
Log in

First-principles calculation of the reflectance of shock-compressed xenon

  • Statistical, Nonlinear, and Soft Matter Physics
  • Published:
Journal of Experimental and Theoretical Physics Aims and scope Submit manuscript

Abstract

Within electron density functional theory (DFT), the reflectance of radiation from shock-compressed xenon plasma is calculated. The dependence of the reflectance on the frequency of the incident radiation and on the plasma density is considered. The Fresnel formula is used. The expression for the longitudinal dielectric tensor in the long-wavelength limit is used to calculate the imaginary part of the dielectric function (DF). The real part of the DF is determined by the Kramers-Kronig transformation. The results are compared with experimental data. An approach is proposed to estimate the plasma frequency in shock-compressed xenon.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. W. Collins, P. M. Celliers, D. M. Gold, L. B. Da Silva, and R. Cauble, Contrib. Plasma Phys. 39, 13 (1999).

    Article  ADS  Google Scholar 

  2. P. M. Celliers, G. W. Collins, L. B. Da Silva, D. M. Gold, R. Cauble, R. J. Wallace, M. E. Foord, and B. A. Hammel, Phys. Rev. Lett. 84, 5564 (2000).

    Article  ADS  Google Scholar 

  3. P. Loubeyre, P. M. Celliers, D. G. Hicks, E. Henry, A. Dewaele, J. Pasley, J. Eggert, M. Koenig, F. Occelli, K. M. Lee, R. Jeanloz, D. Neely, A. Benuzzi-Mounaix, D. Bradley, M. Bastea, S. Moon, and G. W. Collins, High Pressure Res. 24, 25 (2004).

    Article  ADS  Google Scholar 

  4. P. M. Kowalski, S. Mazevet, D. Saumon, and M. Challacombe, Phys. Rev. B: Condens. Matter 76, 075112 (2007).

    Article  ADS  Google Scholar 

  5. P. M. Celliers, P. Loubeyre, J. H. Eggert, S. Brygoo, R. S. McWilliams, D. G. Hicks, T. R. Boehly, R. Jeanloz, and G. W. Collins, Phys. Rev. Lett. 104, 184503 (2010).

    Article  ADS  Google Scholar 

  6. F. Soubiran, S. Mazevet, C. Winisdoerffer, and G. Chabrier, Phys. Rev. B: Condens. Matter 86, 115102 (2012).

    Article  ADS  Google Scholar 

  7. G. Huser, N. Ozaki, and T. Sano, Phys. Plasmas 20, 122703 (2013).

    Article  ADS  Google Scholar 

  8. M. A. Morales, J. M. McMahon, C. Pierleoni, and D. M. Ceperley, Phys. Rev. Lett. 110, 065702 (2013).

    Article  ADS  Google Scholar 

  9. F. Soubiran, S. Mazevet, C. Winisdoerffer, and G. Chabrier, Phys. Rev. B: Condens. Matter 87, 165114 (2013).

    Article  ADS  Google Scholar 

  10. V. B. Mintsev and I. B. Zaporozhets, Contrib. Plasma Phys. 29, 493 (1989).

    Article  ADS  Google Scholar 

  11. Yu. B. Zaporozhets, V. B. Mintsev, V. K. Gryaznov, and V. E. Fortov, in Physics of Extreme States of Matter-2002, Ed. by V. E. Fortov et al. (Institute of Problems of Chemical Physics of the Russian Academy of Sciences, Chernogolovka, 2002), p. 188 [in Russian].

  12. Yu. B. Zaporozhets, V. B. Mintsev, V. K. Gryaznov, V. E. Fortov, H. Reinholz, and G. Röpke, in Physics of Extreme States of Matter-2004, Ed. by V. E. Fortov et al. (Institute of Problems of Chemical Physics of the Russian Academy of Sciences, Chernogolovka, 2004), p. 140 [in Russian].

  13. Y. Zaporozhets, V. Mintsev, V. Gryaznov, V. E. Fortov, H. Reinholz, T. Raitza, and G. Röpke, J. Phys. A: Math. Gen. 39, 4329 (2006).

    Article  ADS  Google Scholar 

  14. H. Reinholz, G. Röpke, A. Wierling, V. Mintsev, and V. Gryaznov, Contrib. Plasma Phys. 43, 3 (2003).

    Article  ADS  Google Scholar 

  15. H. Reinholz, G. Röpke, I. Morozov, V. Mintsev, Yu. Zaporogets, V. Fortov, and A. Wierling, J. Phys. A: Math. Gen. 36, 5991 (2003).

    Article  ADS  Google Scholar 

  16. H. Reinholz, Y. Zaporoghets, V. Mintsev, V. Fortov, I. Morozov, and G. Röpke, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 68, 036403 (2003).

    Article  ADS  Google Scholar 

  17. Yu. V. Petrov and N. A. Inogamov, JETP Lett. 98 (5), 278 (2012).

    Article  ADS  Google Scholar 

  18. G. E. Norman, S. V. Starikov, and V. V. Stegailov, J. Exp. Theor. Phys. 114 (5), 792 (2012).

    Article  ADS  Google Scholar 

  19. N. A. Medvedev, A. E. Volkov, K. Schwartz, and C. Trautmann, Phys. Rev. B: Condens. Matter 87, 104103 (2013).

    Article  ADS  Google Scholar 

  20. B. Rethfeld, A. Rämer, N. Brouwer, N. Medvedev, and O. Osmani, Nucl. Instrum. Methods Phys. Res., Sect. B 327, 78 (2014).

    Article  ADS  Google Scholar 

  21. F. C. Kabeer, E. S. Zijlstra, and M. E. Garcia, Phys. Rev. B: Condens. Matter 89, 100301 (2014).

    Article  ADS  Google Scholar 

  22. W. Kohn and L. J. Sham, Phys. Rev. Sect. A 140, 1133 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  23. W. Kohn, Nobel Lecture on Physics (The Nobel Foundation, Stockholm, 1999).

    Google Scholar 

  24. P. A. Zhilyaev and V. V. Stegailov, Vychisl. Metody Program. 13, 37 (2012).

    Google Scholar 

  25. N. A. Skorikov, M. A. Korotin, E. Z. Kurmaev, and S. O. Cholakh, J. Exp. Theor. Phys. 115 (6), 1048 (2012).

    Article  ADS  Google Scholar 

  26. M. G. Kostenko, A. A. Rempel’, and A. V. Lukoyanov, J. Exp. Theor. Phys. 116 (6), 945 (2013).

    Article  ADS  Google Scholar 

  27. T. V. Perevalov and A. V. Shaposhnikov, J. Exp. Theor. Phys. 116 (6), 995 (2013).

    Article  ADS  Google Scholar 

  28. I. P. Rusinov, I. A. Nechaev, and E. V. Chulkov, J. Exp. Theor. Phys. 116 (6), 1006 (2013).

    Article  ADS  Google Scholar 

  29. M. P. Desjarlais, Contrib. Plasma Phys. 45, 300 (2005).

    Article  ADS  Google Scholar 

  30. M. Gajdo, K. Hummer, G. Kresse, J. Furthmüller, and F. Bechstedt, Phys. Rev. B: Condens. Matter 73, 045112 (2006).

    Article  ADS  Google Scholar 

  31. M. French and R. Redmer, Phys. Plasmas 18, 043301 (2011).

    Article  ADS  Google Scholar 

  32. M. E. Povarnitsyn, D. V. Knyazev, and P. R. Levashov, Contrib. Plasma Phys. 52, 145 (2012).

    Article  ADS  Google Scholar 

  33. Y. Ping, D. Rocca, and G. Galli, Phys. Rev. B: Condens. Matter 87, 165203 (2013).

    Article  ADS  Google Scholar 

  34. P. A. Zhilyaev, G. E. Norman, I. M. Saitov, and V. V. Stegailov, Dokl. Phys. 58 (7), 277 (2013).

    Article  ADS  Google Scholar 

  35. N. D. Mermin, Phys. Rev. Sect. A 137, 1441 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  36. R. Kubo, J. Phys. Soc. Jpn. 12, 570 (1957).

    Article  MathSciNet  ADS  Google Scholar 

  37. D. A. Greenwood, Proc. Phys. Soc. 71, 585 (1958).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  38. T. R. Mattsson and R. J. Magyar, AIP Conf. Proc. 1195, 797 (2009).

    Article  ADS  Google Scholar 

  39. R. Del-Sole and R. Girlanda, Phys. Rev. B: Condens. Matter 48, 11789 (1993).

    Article  ADS  Google Scholar 

  40. A. Starace, Phys. Rev. A: At., Mol., Opt. Phys. 3, 1242 (1971).

    Article  ADS  Google Scholar 

  41. D. A. Frank-Kamenetskii, Lectures on Plasma Physics (Atomizdat, Moscow, 1968) [in Russian].

    Google Scholar 

  42. H. Ehrenreich and M. H. Cohen, Phys. Rev. 115, 786 (1959).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  43. S. L. Adler, Phys. Rev. 126, 413 (1962).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  44. N. Wiser, Phys. Rev. 129, 62 (1963).

    Article  MATH  ADS  Google Scholar 

  45. G. Kresse and J. Hafner, Phys. Rev. B: Condens. Matter 47, 558 (1993).

    Article  ADS  Google Scholar 

  46. G. Kresse and J. Hafner, Phys. Rev. B: Condens. Matter 49, 14251 (1994).

    Article  ADS  Google Scholar 

  47. G. Kresse and J. Furthmüller, Phys. Rev. B: Condens. Matter 54, 11169 (1996).

    Article  ADS  Google Scholar 

  48. J. P. Perdew, A. Ruzsinszky, G. I. Csonka, O. A. Vydrov, G. E. Scuseria, L. A. Constantin, X. Zhou, and K. Burke, Phys. Rev. Lett. 100, 136406 (2008).

    Article  ADS  Google Scholar 

  49. S. Nosé, J. Chem. Phys. 81, 511 (1984).

    Article  ADS  Google Scholar 

  50. W. G. Hoover, Phys. Rev. A: At., Mol., Opt. Phys. 31, 1695 (1985).

    Article  ADS  Google Scholar 

  51. J. P. Perdew, K. Burke, and M. Ernzerhof, Phys. Rev. Lett. 77, 3865 (1996).

    Article  ADS  Google Scholar 

  52. A. V. Lankin and G. E. Norman, J. Phys. A: Math. Gen. 42, 214032 (2009).

    Article  ADS  Google Scholar 

  53. P. Drude, Ann. Phys. 306, 566 (1900).

    Article  Google Scholar 

  54. P. Drude, Ann. Phys. 308, 369 (1900).

    Article  Google Scholar 

  55. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 8: Electrodynamics of Continuous Media (Fizmatlit, Moscow, 2005; Butterworth–Heinemann, Oxford, 2005).

    Google Scholar 

  56. W. Ebeling, Physica (Amstardam) 43, 293 (1969).

    Article  ADS  Google Scholar 

  57. V. Fortov, V. Gryaznov, V. Mintsev, V. Ya. Ternovoi, I. L. Iosilevski, M. V. Zhernokletov, and M. A. Mochalov, Contrib. Plasma Phys. 41, 215 (2001).

    Article  ADS  Google Scholar 

  58. V. E. Fortov, V. Ternovoi, M. V. Zhernokletov, M. A. Mochalov, A. L. Mikhailov, A. S. Filimonov, A. A. Pyalling, V. B. Mintsev, V. K. Gryaznov, and I. L. Iosilevski, J. Exp. Theor. Phys. 97 (2), 259 (2003).

    Article  ADS  Google Scholar 

  59. M. S. Murillo, J. Weisheit, S. B. Hansen, and M. W. C. Dharma-wardana, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 87, 063113 (2013).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 125412, Russia

    G. E. Norman, I. M. Saitov & V. V. Stegailov

  2. Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    G. E. Norman & V. V. Stegailov

  3. National Research University Higher School of Economics, Moscow, 101000, Russia

    V. V. Stegailov

Authors
  1. G. E. Norman
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. I. M. Saitov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Stegailov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to I. M. Saitov.

Additional information

Original Russian Text © G.E. Norman, I.M. Saitov, V.V. Stegailov, 2015, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2015, Vol. 147, No. 5, pp. 1032–1044.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Norman, G.E., Saitov, I.M. & Stegailov, V.V. First-principles calculation of the reflectance of shock-compressed xenon. J. Exp. Theor. Phys. 120, 894–904 (2015). https://doi.org/10.1134/S1063776115040135

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063776115040135

Keywords

Search

Navigation