- Physical Review Journals
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review E

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Cluster virial expansion of the equation of state for hydrogen plasma with e-H2 contributions

Y. A. Omarbakiyeva1,2,*, H. Reinholz1,3, and G. Röpke1

  • 1Institute of Physics, University of Rostock, D-18051 Rostock, Germany
  • 2International IT University, 050040 Almaty, Kazakhstan
  • 3The University of Western Australia, Crawley, Western Australia 6009, Australia

  • *yultuz.omarbakiyeva@uni-rostock.de
PDF

Phys. Rev. E 91, 043103 – Published 20 April, 2015

DOI: https://doi.org/10.1103/PhysRevE.91.043103

Abstract

The equation of state of partially ionized hydrogen plasma is considered with special focus on the contribution of the e−H2 interaction. Traditional semiempirical concepts such as the excluded volume are improved using microscopic approaches to treat the e−H2 problem. Within a cluster virial expansion, the Beth-Uhlenbeck formula is applied to infer the contribution of bound and scattering states to the temperature-dependent second virial coefficient. The scattering states are calculated using the phase expansion method for the polarization interaction that incorporates experimental data for the e−H2 scattering cross section. We present results for the scattering phase shifts, differential scattering cross sections, and the second virial coefficient due to the e−H2 interaction. The influence of this interaction on the composition of the partially ionized hydrogen plasma is confined to the parameter range where both the H2 and the free-electron components are abundant.

View figure in article

Article Text

References (49)

  1. J. Lewis, Physics and Chemistry of the Solar Systems (Elsevier, Amsterdam, 2004).
  2. R. Redmer, in Plasma Physics, edited by A. Dinklage, T. Klinger, G. Marx, and L. Schweikhard, Lecture Notes in Physics Vol. 670 (Springer, Berlin, 2005), p. 331.
  3. R. Redmer, B. Holst, H. Juranek, N. Nettelmann, and V. Schwarz, J. Phys. A: Math. Gen. 39, 4479 (2006).
  4. R. Redmer, Plasma Physics. Confinement, Transport and Collective Effects (Springer, Berlin, 2005).
  5. W. Lorenzen, B. Holst, and R. Redmer, Phys. Rev. Lett. 102, 115701 (2009).
  6. J. Vorberger, M. Schlanges, and W. D. Kraeft, Phys. Rev. E 69, 046407 (2004).
  7. R. P. Drake, High-Energy-Density Physics (Springer, New York, 2006).
  8. J. D. Lindl, P. Amendt, R. L. Berger et al., Phys. Plasmas 11, 339 (2004).
  9. H. Fehske, R. Schneider, and A. Weisse, Computational Many-Particle Physics (Springer, Berlin, 2008), Vol. 739.
  10. D. Kremp, M. Schlanges, and W.-D. Kraeft, Quantum Statistics of Nonideal Plasmas (Springer, Berlin, 2005).
  11. D. Saumon, G. Chabrier, and H. M. V. Horn, Astrophys. J. Suppl. Ser. 99, 713 (1995).
  12. G. I. Kerley, Equations of state for hydrogen and deuterium, Sandia Report No. SAND2003-3613, 2003 (unpublished).
  13. W. D. Kraeft, D. Kremp et al., Quantum Statistics of Charged Particle Systems (Springer, Berlin, 1986).
  14. B. Holst, R. Redmer, V. Gryaznov, V. Fortov, and I. Iosilevskiy, Eur. Phys. J. D 66, 104 (2012).
  15. A. Alastuey and A. Perez, Phys. Rev. E 53, 5714 (1996).
  16. B. Militzer and D. M. Ceperley, Phys. Rev. E 63, 066404 (2001).
  17. Y. A. Omarbakiyeva, C. Fortmann, T. S. Ramazanov, and G. Röpke, Phys. Rev. E 82, 026407 (2010).
  18. E. Beth and G. E. Uhlenbeck, Physica 4, 915 (1937).
  19. K. Huang, Statistical Mechanics (Wiley, New York, 1966).
  20. F. J. Rogers and A. Nayfonov, Astrophys. J. 576, 1064 (2002).
  21. R. Harcourt, J. Phys. B 20, L617 (1987).
  22. J. Liu, E. Salumbides et al., J. Chem. Phys. 130, 174306 (2009).
  23. S.Trajmar, D. Truhlar, and J. Rice, J. Chem. Phys. 52, 4502 (1970).
  24. D. E. Golden, H. W. Bandel, and J. A. Salerno, Phys. Rev. 146, 40 (1966).
  25. J.-S. Yoon, M.-Y. Song, J.-M. Han, S. H. Hwang, W.-S. Chang, B. Lee, and Y. Itikawa, J. Phys. Chem. Ref. Data 37, 913 (2008).
  26. M. A. Morrison, R. W. Crompton, B. C. Saha, and Z. L. Petrovic, Aust. J. Phys. 40, 239 (1987).
  27. R. W. Crompton, D. K. Gibson, and A. I. McIntosh, Aust. J. Phys. 22, 715 (1969).
  28. F. Linder and H. Schmidt, Z. Naturforsch. A 26, 1603 (1971).
  29. N. F. Lane, Rev. Mod. Phys. 52, 29 (1980).
  30. T. F. Malley, L. Spruch, and L. Rosenberg, J. Math. Phys. 2, 491 (1961).
  31. T. F. Malley, L. Rosenberg, and L. Spruch, Phys. Rev. 125, 1300 (1962).
  32. K. Fedus, Z. Idziaszek, and G. P. Karwasz, Eur. Phys. J. ST 222, 2335 (2013).
  33. G. P. Karwasz, R. S. Brusa, and A. Zecca, in Photon and Electron Interactions with Atoms, Molecules and Ions (Springer, New York, 2003).
  34. F. Calogero, Variable Phase Approach to Potential Scattering (Academic, New York, 1967).
  35. V. V. Babikov, The Method of Phase Functions in Quantum Mechanics (Nauka, Moscow, 1988).
  36. Y. A. Omarbakiyeva, G. Röpke, and T. S. Ramazanov, Contrib. Plasma Phys. 49, 718 (2009).
  37. R. Redmer, G. Röpke, and R. Zimmermann, J. Phys. B 20, 4069 (1987).
  38. R. Redmer, Phys. Rep. 282, 35 (1997).
  39. B. I. Schneider, Phys. Rev. A 11, 1957 (1975).
  40. N. Levinson, K. Dan. Vidensk. Selsk, Mat. Fys. Medd. 25, 1 (1949).
  41. B. Jordan-Thaden et al., Phys. Rev. Lett. 107, 193003 (2011).
  42. S. J. Buckman, M. J. Brunger, D. S. Newman, G. Snitchler, S. Alston, D. W. Norcross, M. A. Morrison, B. C. Saha, G. Danby, and W. K. Trail, Phys. Rev. Lett. 65, 3253 (1990).
  43. Z. L. Petrovic and R. W. Crompton, Aust. J. Phys. 40, 347 (1987).
  44. J. P. England et al., Aust. J. Phys. 41, 573 (1988).
  45. S. Trajmar, D. Register, and A. Chutjian, Phys. Rep. 97, 219 (1983).
  46. M. J. Brunger and S. J. Buckman, Phys. Rep. 357, 215 (2002).
  47. J. Muse, H. Silva et al., J. Phys. B 41, 095203 (2008).
  48. K. P. Huber and G. Herzberg, Molecular Spectra and Molecular Structure. IV. Constants of Diatomic Molecules (Van Nostrand Reinhold, New York, 1979).
  49. W. Ebeling, A. Foerster, V. E. Fortov, V. K. Gryaznov, and Y. Polischchuk, Thermophysical Properties of Hot Dense Plasmas (Teubner, Stutgart, 1991).

Outline

Information

Phys. Rev. E 91, 043103– Published 20 April, 2015
  • Received 23 July 2014

©2015 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation