Skip to main content Accessibility help
×
Home

Equation of State of Stellar Plasmas

  • Forrest J. Rogers (a1)

Abstract

The equation of state (EOS) of astrophysical plasmas is, for a wide range of stars, nearly ideal; with only small non-ideal Coulomb corrections. Calculating the EOS of an ionizing plasma from a ground state ion, ideal gas model is easy, whereas, fundamental methods to include the small Coulomb corrections are difficult. Attempts to include excited bound states are also complicated by plasma screening and microfield phenomena that weaken and broaden these states. Nevertheless, the high quality of current observational data, particularly seismic, dictates that the best possible models should be used. The present article discusses these issues and describes how they are resolved by fundamental many-body quantum statistical methods. Particular emphasis is placed on the activity expansion method that is the basis of the OPAL opacity code. Some comparisons with standard methods are given.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Equation of State of Stellar Plasmas
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Equation of State of Stellar Plasmas
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Equation of State of Stellar Plasmas
      Available formats
      ×

Copyright

References

Hide All
Abe, R., 1959, Theor. Phys. 22, 213
Alustuey, A., 1994, this volume
Alustuey, A. and Perez, A., 1992, Europhys. Lett. 1, 13
Bartsch, G.P., and Ebeling, W., 1971, Beitr. Plasma Phys. 11, 393
Beth, E. and Uhlenbeck, G.E., 1939, Physica 4, 915
Bolle, D., 1987, Phys. Rev. A36, 3259
Bolle, D., 1989, Phys. Rev. A39, 2752
Cox, J. and Giuli, R., 1968, Stellar Structure (Gordon and Breach, New York)
Christensen-Dalsgaard, J. and Däppen, W., 1993, Astron. Astrophys. Rev. 4, 267
Christensen-Dalsgaard, J. and Däppen, W., 1991, in Challenges to Theories of the Structure of Moderate-Mass Stars, eds. Gough, D.O. and Toomre, J. (Lecture Notes in Physics, 388, Springer, Heidelberg)
Däppen, W., Anderson, L.S., and Mihalas, D., 1987, Ap. J. 319, 195
Däppen, W., 1992, Rev. Mexicana Astron. & Astrof. 23, 1144
Dashen, R., Ma, S.K., and Bernstein, H.J., 1969, Phys. Rev. 187, 345
DeWitt, H.E., 1966, J. Math. Phys. 7, 6169
Dziembowski, W.A., Pamyatnykh, A.A., and Sienkiewicz, R., 1992, Acta Astronomica 14, 5
Ebeling, W., 1974, Physica 73, 573
Ebeling, W., Kraeft, W.D., and Kremp, D., 1977, Theory of Bound States and Ionization Equilibrium in Plasmas and Solids (Berlin, Akademie-Verlag; New York, Plenum)
Eggelton, P., Faulkner, J. and Flannery, G.P., 1973, A&A 23, 261
Erskine, D., Rosznyai, B., and Ross, M., 1994, JQSRT 50
Goldsmith, S., Griem, H.E., and Cohen, L., 1984, Phys. Rev. A30, 2775
Graboske, H.C., and DeWitt, H.E., 1974 (unpublished)
Guenther, D.B., 1992, Nature 359, 585
Hill, T.L., Statistical Mechanics (McGraw-Hill, New York, 1956), Chap. 5
Hummer, D.G., and Mihalas, D., 1988, Ap. J. 331, 794
Iglesias, C.A., Rogers, F.J., and Wilson, B.G., 1987, Ap. J. (Letters), 322, L45
Iglesias, C.A. and Rogers, F.J., 1993, ApJ 412, 752
Kraeft, W.D., Kremp, D., Ebeling, W., and Röpke, G., 1986, Quantum Statistics of Charged Particle Systems, (Plenum Press, New York)
Krasnikov, Yu.G., and Kucherenko, V.I., 1978, Teplofiz. Vys. Temp. 16, 43
Krasnikov, Yu.G., 1977, Sov. Phys. JETP 46, 271
Larkin, A.L., 1960, Sov. Phys. JETP 11, 1363
Levinson, N., 1949, Danshe Mat. Fys. Medd, No. 25
Mayer, J.E., 1950, J. Chem. Phys. 18, 1426
McChesney, M., 1964, Can. J. Phys. 42, 2473
Pisano, C., and McKellar, B.H.J., 1989, Phys. Rev. A40, 6597
Rogers, F.J., 1974, Phys. Rev. A1O, 2441
Rogers, F.J., 1977, Phys. Lett. 61A, 358
Rogers, F.J., 1979, Phys. Rev. A19, 375
Rogers, F.J., 1981, Phys. Rev. A24, 1531
Rogers, F.J., 1984, Phys. Rev. A29, 868
Rogers, F.J., 1986, Ap. J. 310, 723
Rogers, F.J., 1990, Ap. J 352, 689
Rogers, F.J., 1991, in High Pressure Equations Of State: Theory and Applications, ed. Eliezer, S. & Ricci, R.A. (North Holland, New York, 1991)
Rogers, F.J. and DeWitt, H.E., 1973, Phys. Rev. 8, 1061
Rogers, F.J., Graboske, H.C., and DeWitt, H.E., 1971, Phys. Lett. 34A, 127
Rogers, F.J. and Iglesias, C.A., 1991, ApJS 79, 507
Rogers, F.J. and Iglesias, C.A., 1993, A.S.P. Conf. Ser., V42, Ed. Brown, Timothy M.
Saha, M., 1920, Phil. Mag. 40, 472
Saumon, D., and Chabrier, G., 1991, Phys. Rev. A44, 5122
Saumon, D., 1992, Phys. Rev. A46, 2084
Sevastyanenko, V., 1985, Beitr Plasmaphys. 25, 151
Simon, N.R., 1982, ApJ 269, L87
Slattery, W.L., Dooien, G.D., and DeWitt, H.E., 1982, Phys. Rev. A26, 225
Swenson, F.J., and Rogers, F.J., 1994, (in preparation)
Swenson, F.J., VandenBerg, D.A., Alexander, D.R., and Irwin, A., 1994, (in preparation)
Uhlenbeck, G.E., and Beth, E., 1936, Physica 3, 729
Wood, R.H., Lilley, T.H., and Thompson, , 1978, J. Chem. Soc. Far. Trans. 174, 1301

Equation of State of Stellar Plasmas

  • Forrest J. Rogers (a1)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed