Quick evaluation of electrical and thermal conductivities of degenerate fully ionized plasmas without magnetic field | |
Department of Theoretical Astrophysics |
The MAIN routine can be commented-out for usage of subroutines COULOG and COULIMP (which produce the Coulomb logarithms) or COULAN (which simply implements the analytical calculations from Appendix A of Ref.[14]) with another program.
The conductivities are evaluated according to the formulae
where ne, e, and me* are the electron number density, charge, and effective mass (the latter includes the relativistic Lorentz factor), and tel,th are effective relaxation times related to the corresponding Coulomb logarithms Lel,th as follows:
where E=me* c2 is the electron Fermi energy (cf. Eqs.(6),(7) of Ref.[14]). These relations are derived under the assumption that the electrons are strongly degenerate, the ions form a perfect lattice below the freezing temperature, and there is no magnetic field. If any of these assumptions does not apply, then you may want to use a more sophisticated program placed here.
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Page created in 2000; last updated on March 9, 2007. |