A&a Manuscript No. Electron Conduction along Quantizing Magnetic Elds 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 elds 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 eeective electron relaxation time averaged over electron energies. We calculate this relaxation time, using the theoretical formalism of the previous work, obtain accurate tting expressions, and propose an eecient energy averaging procedure. We create a computer code which calculates the longitudinal transport properties of degenerate electrons in strong magnetic elds for any parameters of dense stellar matter of practical interest. We analyse quantum oscillations of the transport coeecients versus density at various temperatures and magnetic elds.