Abstract
Thermal and electrical conductivities due to electron scattering on phonons are calculated for degenerate cores of white dwarfs and envelopes of neutron stars for wide ranges of density, temperature and ion charge. In the stellar zones, in which T ≳ ħωpi(Z1/3e2/ħυF) (ωpiis the ion plasma frequency and υF the Fermi velocity of electrons), the main contribution into scattering comes from the Umklapp processes. In the zones with lowerT, the Umklapp processes are frozen out, that results in a sharp growth of electrical and thermal conductivities. This, for instance, should make nuclear burning more stable in such zones.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Albers, R. C. and Gubernatis, J. E.: 1981,Phys. Rev. 23B, 2782.
Baym, G. and Pethick, C. J.: 1975,Ann. Rev. Nuc. Sci. 25, 27.
Carr, W. J.: 1961,Phys. Rev. 122, 1437.
Cohen, M. N. and Keffer, K.: 1955,Phys. Rev. 99, 1128.
Coldwell-Horsefall, R. A. and Maradudin, A. A.: 1960,J. Math. Phys. 1, 395.
Ewart, G. M., Guyer, R. A., and Greenstein, G.: 1976,Astrophys. J. 206, 218.
Flowers, E. and Itoh, N.: 1976,Astrophys. J. 206, 218.
Flowers, E. and Itoh, N.: 1980,Astrophys. J. 250, 750.
Glen, G. and Sutherland, P.: 1980,Astrophys. J. 239, 671.
Greenstein, G.: 1975,Astrophys. J. 200, 281.
Kittel, C.: 1976,Introduction to Solid State Physics, John Wiley and Sons, New York, London, Sydney, and Toronto.
Lamb, D. Q. and Lamb, F. K.: 1978,Astrophys. J. 220, 291.
Mochkovitch, R. and Hansen, J. P.: 1979,Phys. Rev. 73A, 35.
Nomoto, K. and Tusurata, S.: 1981,Astrophys. J. 250, L19.
Pollock, E. M. and Hansen, J. P.: 1973,Phys. Rev. 8A, 3110.
Van Riper, K. A. and Lamb, D. Q.: 1981,Astrophys. J. 244, L13.
Yakovlev, D. G. and Urpin, V. A.: 1980,Astron. Zh. 57, 526 (Soviet Astron. 24, 303).
Yakovlev, D. G. and Urpin, V. A.: 1981,Pis'ma v Astron. Zh. 7, 157.
Ziman, J. M.: 1960.Electrons and Phonons, Oxford Univ. Press.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Raikh, M.E., Yakovlev, D.G. Thermal and electrical conductivities of crystals in neutron stars and degenerate dwarfs. Astrophys Space Sci 87, 193–203 (1982). https://doi.org/10.1007/BF00648915
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00648915