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Thermal and electrical conductivities of crystals in neutron stars and degenerate dwarfs

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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.

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  1. Albers, R. C. and Gubernatis, J. E.: 1981,Phys. Rev. 23B, 2782.

  2. Baym, G. and Pethick, C. J.: 1975,Ann. Rev. Nuc. Sci. 25, 27.

  3. Carr, W. J.: 1961,Phys. Rev. 122, 1437.

  4. Cohen, M. N. and Keffer, K.: 1955,Phys. Rev. 99, 1128.

  5. Coldwell-Horsefall, R. A. and Maradudin, A. A.: 1960,J. Math. Phys. 1, 395.

  6. Ewart, G. M., Guyer, R. A., and Greenstein, G.: 1976,Astrophys. J. 206, 218.

  7. Flowers, E. and Itoh, N.: 1976,Astrophys. J. 206, 218.

  8. Flowers, E. and Itoh, N.: 1980,Astrophys. J. 250, 750.

  9. Glen, G. and Sutherland, P.: 1980,Astrophys. J. 239, 671.

  10. Greenstein, G.: 1975,Astrophys. J. 200, 281.

  11. Kittel, C.: 1976,Introduction to Solid State Physics, John Wiley and Sons, New York, London, Sydney, and Toronto.

  12. Lamb, D. Q. and Lamb, F. K.: 1978,Astrophys. J. 220, 291.

  13. Mochkovitch, R. and Hansen, J. P.: 1979,Phys. Rev. 73A, 35.

  14. Nomoto, K. and Tusurata, S.: 1981,Astrophys. J. 250, L19.

  15. Pollock, E. M. and Hansen, J. P.: 1973,Phys. Rev. 8A, 3110.

  16. Van Riper, K. A. and Lamb, D. Q.: 1981,Astrophys. J. 244, L13.

  17. Yakovlev, D. G. and Urpin, V. A.: 1980,Astron. Zh. 57, 526 (Soviet Astron. 24, 303).

  18. Yakovlev, D. G. and Urpin, V. A.: 1981,Pis'ma v Astron. Zh. 7, 157.

  19. Ziman, J. M.: 1960.Electrons and Phonons, Oxford Univ. Press.

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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

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  • Burning
  • Thermal Conductivity
  • Electrical Conductivity
  • Neutron Star
  • Plasma Frequency