Effective Coulomb logarithms
Quick evaluation of
electrical and thermal conductivities
of degenerate fully ionized plasmas without magnetic field
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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 *n*_{e}, *e*, and *m*_{e}^{*}
are the electron number density, charge, and effective mass
(the latter includes the relativistic Lorentz factor),
and *t*_{el,th} are effective relaxation
times related to the corresponding Coulomb logarithms
*L*_{el,th} as follows:

where *E*=*m*_{e}^{* }*c*^{2}
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 design and maintenance:
Alexander Potekhin
Page created in 2000; last updated on March 9, 2007. |