Skip to main content
SpringerLink
Log in

Equation of state calculations for hot, dense matter at arbitrary densities and temperatures

  • Published:
Acta Mechanica Sinica Aims and scope Submit manuscript

Abstract

Within the approximations of spherical lattice cell, central-field, and relativistic Fermi statistics, an algorithm with average atom model is presented to calculate the electronic energy levels and equation of state for hot and dense matter at arbitrary densities and temperatures. Choosing Zink's analytical potential as initial potential, we have solved the Dirac-Slater equation which satisfies the Weigner-Seitz boundary condition. The electronic energy bands are not taken into account. Taking energy level degeneracy as a continuous function of density, we have considered the pressure ionization effects for highly dense matter. Results for13Al atom are shown.

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. Holian, K. S., Los Alamos National Laboratory Report, LA-10160-MS(1984), 3712(1–8).

  2. Bushman, A. V. and Fortov, V. E.,Sov Phys. Usp.,26, 6 (1983), 465–496.

    Article  Google Scholar 

  3. Feynman, R. P., Metroplis, N., and Teller, E.,Phys. Rev.,75, 6 (1949), 1561–73.

    Article  MATH  Google Scholar 

  4. Cowan, R. D. and Askin, J.,Phys. Rev.,105, 1 (1957), 144–157.

    Article  MATH  MathSciNet  Google Scholar 

  5. Zink, J. W.,Phys. Rev.,176, 1 (1968), 279–284.

    Article  Google Scholar 

  6. Avrorin, E. N. et al.,JETP Lett.,31, 12 (1980), 685–687.

    Google Scholar 

  7. Rozsnyai, B. F.,Phys. Rev.,A5, 3 (1972), 1137–1149.

    Article  Google Scholar 

  8. Mancini, R. C. and Fontan, C. F.,J. Quant Spectros. Radiat. Transform,34, 2 (1985), 115–122.

    Article  Google Scholar 

  9. Ellis, D. E.,J. Phys.,B10, 1 (1977) 1–5.

    Article  MathSciNet  Google Scholar 

  10. Zhao Yijun,Journal of University of Science & Technology for National Defence,4 (1980), 19–41.

    Google Scholar 

  11. Perrot, F.,Phys. Rev.,A20, 2 (1979), 586–594.

    Article  MathSciNet  Google Scholar 

  12. Latter, R.,Phys. Rev.,99, 2 (1955), 510–519.

    Article  Google Scholar 

  13. Latter, R.,Phys. Rev.,99, 6 (1955), 1854–1870.

    Article  MATH  Google Scholar 

  14. Desclaux, J. P.,Atom. Data and Nucl. Data Table.,12, 4 (1973), 311–406.

    Article  Google Scholar 

  15. Vladimirov, A. S. et al.,JETP Lett.,39, 2 (1984) 82–85.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Atomic and Molecular Physics, Jilin University, Jilin, China

    Li Zhaoning & Pan Shoufu

Authors
  1. Li Zhaoning
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Pan Shoufu
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhaoning, L., Shoufu, P. Equation of state calculations for hot, dense matter at arbitrary densities and temperatures. Acta Mech Sinica 5, 361–368 (1989). https://doi.org/10.1007/BF02488009

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02488009

Key Words

Search

Navigation