Ay. Potekhin et Dg. Yakovlev, ELECTRON CONDUCTION ALONG QUANTIZING MAGNETIC-FIELDS IN NEUTRON-STAR CRUSTS .2. PRACTICAL FORMULAS, Astronomy and astrophysics, 314(1), 1996, pp. 341-352
We derive practical expressions for a rapid and accurate evaluation of
electric and thermal conductivities and thermopower of degenerate rel
ativistic electrons along quantizing magnetic fields in outer neutron
star crusts. We consider the electron Coulomb scattering on ions in li
quid matter, as well as on high-temperature phonons or charged impurit
ies in solid matter. We propose also a reasonable semi-quantitative tr
eatment of low-temperature phonons. The transport properties are expre
ssed through the energy dependent effective electron relaxation time a
veraged over electron energies. We calculate this relaxation time, usi
ng the theoretical formalism of the previous work, obtain accurate fit
ting 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 q
uantum oscillations of the transport coefficients versus density at va
rious temperatures and magnetic fields.