Thermal conductivity due to electron-electron collisions in a degenerate relativistic electron gas

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electron Gas, Neutron Stars, Relativistic Particles, Thermal Conductivity, White Dwarf Stars, Astrophysics, Electron Scattering

Scientific paper

The thermal conductivity due to electron-electron collisions in a degenerate relativistic electron gas comprising a white dwarf or neutron star is analyzed for the case in which the temperature is greater than the ion plasma temperature but much less than the Fermi temperature. A variational method and the statistical screening approximation are used to obtain an expression for the electron-electron collision contribution to the total thermal conductivity as the Fermi velocity approaches the speed of light or a density greater than 1,000,000 g/cu cm. It is shown that for a degeneracy parameter less than approximately 50 and ion charges less than approximately 10, electron-electron collisions make a significant contribution to the electron thermal conductivity.

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