Electron conduction along quantizing magnetic fields in neutron star crusts. II. Practical formulae.
We derive practical expressions for a rapid and accurate evaluation of electric and thermal conductivities and thermopower of degenerate relativistic electrons along quantizing magnetic fields in outer neutron star crusts. We consider the electron Coulomb scattering on ions in liquid matter, as well as on high-temperature phonons or charged impurities in solid matter. We propose also a reasonable semi-quantitative treatment of low-temperature phonons. The transport properties are expressed through the energy dependent effective electron relaxation time averaged over electron energies. We calculate this relaxation time, using the theoretical formalism of the previous work, obtain accurate fitting expressions, and propose an efficient energy averaging procedure. We create a computer code which calculates the longitudinal transport properties of degenerate electrons in strong magnetic fields for any parameters of dense stellar matter of practical interest. We analyse quantum oscillations of the transport coefficients versus density at various temperatures and magnetic fields.
Astronomy and Astrophysics
- Pub Date:
- October 1996
- STARS: NEUTRON;
- DENSE MATTER;
- MAGNETIC FIELDS;
- 15 pages, 8 PostScript figures encapsulated (l-aa.sty and epsf.tex included). Misprints in Eqs.(45) and (47) corrected