Abstract
In this chapter we discuss two ways by which heat can be transported through stars: diffusive radiative transfer by photons and heat conduction. The third mode of transport, which is by means of convective mixing of hot and cool material, will wait until Chapter 5. For references on the theory and application of energy transfer in stars, we recommend the following excellent texts by Mihalas (1978) and Mihalas and Mihalas (1984). Cox (1968) and Rybicki and Lightman (1979) also contain some very useful material. The discussion here will barely scratch the surface of this complex subject and will be directed toward the specific end of finding approximations suitable for the stellar interior.
In an intuitive picture of diffusion, one usually conceives of a slow leakage from a reservoir of large capacity by means of a seeping action. These ideas apply in the radiative diffusion limit as well.
— Dimitri Mihalas in Stellar Atmospheres (1978) OK, this plus a little math and I suppose we’re done.
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References and Suggested Readings
â–¹ Mihalas, D. 1978, Stellar Atmospheres, 2d ed. (San Francisco: Freeman)
â–¹ Mihalas, D., and Mihalas, B.W. 1984, Foundations of Radiative Hydrodynamics (Oxford: Oxford University Press).
â–¹ Cox, J.P. 1968, Principles of Stellar Structure, in two volumes (New York: Gordon and Breach)
â–¹ Rybicki, G.B., and Lightman, A.P. 1979, Radiative Processes in Astrophysics (New York: Wiley & Sons)
§4.4 Radiative Opacity Sources
â–¹ Clayton, D.D. 1968 Principles of Stellar Evolution and Nucleosynthesis, (New York: McGraw-Hill)
â–¹ Cox, A.N. (1965) in Chapter 3 of Stellar Structure, Eds. L.H. Aller and D.B. McLaughlin (Chicago: University of Chicago Press).
â–¹ Landau, L.D., and Lifshitz, E.M. 1971, Classical Theory of Fields (Oxford: Pergamon Press)
â–¹ Spitzer, L. 1962, Physics of Fully Ionized Gases 2d ed. (New York: Interscience)
â–¹ Spitzer, L. Jr. 1978, Physical Processes in the Interstellar Medium (New York: Wiley & Sons).
â–¹ Schwarzschild, M. 1958, Structure and Evolution of the Stars (Princeton: Princeton University Press)
§4.5 Heat Transfer by Conduction
â–¹ Kittel, C. 1968, Introduction to Solid State Physics (New York: Wiley & Sons)
â–¹ Hubbard, W.B., and Lampe, M. 1969, Ap.J.Supply 18, 297
â–¹ Lamb, D.Q., and Van Horn, H.M. 1975, Ap.J., 200, 306
â–¹ Itoh, N., Mitake, S., Iyetomi, H., and Ichimaru, S. 1983, Ap.J., 273, 774
â–¹ Itoh, N., Kahyama, Y. Matsumoto, N., and Seki, M. 1984, Ap.J., 285, 758.
â–¹ Cox, A.N., and Stewart, J.N. 1970, Ap.J. Suppl., 19, pp. 243, 261
§4.6 Tabulated Opacities
â–¹ Cox, A.N., and Tabor, J.E. 1976, Ap.J.Suppl., 31, 271
â–¹ Weiss, A., Keady, J.J., and Magee, N.H. Jr. 1990, Atomic Data and Nuclear Data Tables, 45, 209.
â–¹ Mihalas, D., Hummer, D.G., Mihalas, B.W., and Dappen, W. 1990, Ap.J., 350, 300
â–¹ Rogers, F.J., and Iglesias, C.A. 1992, Ap.J. Suppl., 79, 507
â–¹ Hayashi, C., Hoshi, R., and Sugimoto, D. 1962, Suppl. Progress of Theoretical Physics, Japan, 22.
â–¹ Christy, R.F. 1966, Ap.J., 144, 108
â–¹ Iben, I. Jr. 1975, Ap.J., 196, 525
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Hansen, C.J., Kawaler, S.D. (1994). Radiative and Conductive Heat Transfer. In: Stellar Interiors. Astronomy and Astrophysics Library. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0214-8_4
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