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Progress towards a unified equation of state

  • Werner Däppen
Part II Physical Processes in Modelling the Sun
Part of the Lecture Notes in Physics book series (LNP, volume 367)

Abstract

A recent comparison of thermodynamical quantities, computed in the chemical and physical picture, has revealed a remarkable agreement in the hydrogen and helium ionization zones (on an isochore of log p = -5.5, with p in g cm−3). This agreement is due to an unexpectedly dominating (classical) Coulomb pressure term. The analogous comparison at a somewhat higher density (log p = −3.5) shows still striking similarities, despite the different treatment of bound states in the two formalisms. The results suggest use of a relatively simple parametrized equation of state for solar purposes.

Keywords

Partition Function Cluster Coefficient Thermodynamical Quantity Physical Picture Cluster Expansion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Christensen-Dalsgaard, J., Däppen, W., and Lebreton, Y. 1988, Nature, 336, 634.Google Scholar
  2. Däppen, W., Anderson, L.S., and Mihalas, D. 1987, Astrophys. J., 319, 195.Google Scholar
  3. Däppen, W., Keady, J., and Rogers, F. 1990, in Solar Interior and Atmosphere, eds. A.N. Cox, W.C. Livingston and M. Matthews (Space Science Series, University of Arizona Press), in press.Google Scholar
  4. Däppen, W., Lebreton, Y., and Rogers, F. 1990, Solar Phys., in press.Google Scholar
  5. Däppen, W., Mihalas, D., Hummer, D.G., and Mihalas, B.W. 1988, Astrophys. J., 332, 261.Google Scholar
  6. Ebeling, W., Kraeft, W.D., and Kremp, D. 1976, Theory of Bound States and Ionization Equilibrium in Plasmas and Solids (Akademie Verlag, Berlin, DDR).Google Scholar
  7. Eggleton, P.P., Faulkner, J., and Flannery, B.P. 1973, Astron. Astrophys., 23, 325.Google Scholar
  8. Hill, T.L. 1960, Statistical Thermodynamics (Addison-Wesley), Chapt. 15.Google Scholar
  9. Huang, K. 1963, Statistical Mechanics (John Wiley), Chapt. 14.Google Scholar
  10. Hummer, D.G., and Mihalas, D. 1988, Astrophys. J., 331, 794.Google Scholar
  11. Iglesias, C.A., Rogers, F.J., and Wilson, B.G., 1987, Astrophys. J. Letters, 322, L45.Google Scholar
  12. Mihalas, D., Däppen W., and Hummer, D.G. 1988, Astrophys. J., 331, 815.Google Scholar
  13. Rogers, F.J. 1977, Phys. Lett., 61A, 358.Google Scholar
  14. Rogers, F.J. 1981, Phys. Rev., A24, 1531.Google Scholar
  15. Rogers, F.J. 1986, Astrophys. J., 310, 723.CrossRefGoogle Scholar
  16. Seaton, M. 1987, J. Phys. B: Atom. Molec. Phys., 20, 6363.Google Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • Werner Däppen
    • 1
    • 2
  1. 1.Space Science Department of ESAESTECNoordwijkThe Netherlands
  2. 2.Institute for Theoretical PhysicsUniversity of CaliforniaSanta BarbaraUSA

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