Skip to main content
Log in

Stability of Nonstationary Cooling of Pure Hydrogen Gas with Respect to the Number of Discrete Levels Taken into Account

  • Published:
Astrophysics Aims and scope

The effect of the number K of atomic hydrogen levels taken into account on the cooling of the gas behind a shock front is studied. The calculations are done for the conditions in the atmospheres of long-period Mira Ceti type variables. K ranges from 2 to 25. The electron temperature Te(t; K) and ionization state x(r,K) asymptotically approach limiting functions Te(t) and x(t) that are independent of K. After the maximum electron temperature is reached, a partial equilibrium phase sets in, during which the populations of the highly excited discrete levels with principal quantum numbers ≥ 8 obey the Saha equation for the instantaneous electron temperature and density.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. G. Gorbatskii, Astron. zh. 38, 256 (1961).

    ADS  Google Scholar 

  2. J. C. Brown, Solar Phys. 29, 421 (1973).

    Article  ADS  Google Scholar 

  3. N. D. Kostyuk and S. B. Pikel’ner, Astron. zh. 51, 1002 (1974).

  4. M. M. Katsova, A. G. Kosovichev, and M. M. Livshits, Astrophysics, 17, 156 (1981).

    Article  ADS  Google Scholar 

  5. M. W. Fox and P. R. Wood, Astrophys. J. 297, 455 (1985).

    Article  ADS  Google Scholar 

  6. Yu. A. Fadeev and D. Gillet, Astron. Astrophys. 354, 349 (2000).

    ADS  Google Scholar 

  7. Yu. A. Fadeev and D. Gillet, Astron. Astrophys. 420, 423 (2004).

    Article  ADS  Google Scholar 

  8. D. Gillet and A. B. Fokin, Astron. Astrophys. 565, 423 (2014).

    Article  Google Scholar 

  9. J. C. Allred, A. F. Kowalski, and M. Carlsson, Astrophys. J. 809, 104 (2015).

    Article  ADS  Google Scholar 

  10. O. M. Belova, K. V. Bychkov, E. S. Morchenko, et al., Astronomy reports 58, 650 (2014).

    Article  ADS  Google Scholar 

  11. O. M. Belova and K. V. Bychkov, Astrophysics 60, 111 (2017).

    Article  ADS  Google Scholar 

  12. O. M. Belova and K. V. Bychkov, Astrophysics 60, 200 (2017).

    Article  ADS  Google Scholar 

  13. O. M. Belova and K. V. Bychkov,Astrophysics 60, 357 (2017).

    ADS  Google Scholar 

  14. L. C. Johnson, Astron. J. 174, 227 (1972).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. M. Belova.

Additional information

Translated from Astrofizika, Vol. 61, No. 1, pp. 119-130 (February 2018).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Belova, O.M., Bychkov, K.V. Stability of Nonstationary Cooling of Pure Hydrogen Gas with Respect to the Number of Discrete Levels Taken into Account. Astrophysics 61, 101–112 (2018). https://doi.org/10.1007/s10511-018-9519-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10511-018-9519-8

Keywords

Navigation