Electron conduction along quantizing magnetic fields in neutron star crusts
نویسندگان
چکیده
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.
منابع مشابه
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...
متن کاملA&a Manuscript No. Electron Conduction along Quantizing Magnetic Elds in Neutron Star Crusts
Transport properties of degenerate relativistic electrons along quantizing magnetic elds in neutron star crusts are considered. A kinetic equation is derived for the spin polarization density matrix of electrons. Its solution does not depend on the choice of basic electron wave functions unlike previous solutions of the traditional kinetic equation for the distribution function. The density mat...
متن کاملThermal conductivity of ions in a neutron star envelope
We analyze the thermal conductivity of ions (equivalent to the conductivity of phonons in crystalline matter) in a neutron star envelope. We calculate the ion/phonon thermal conductivity in a crystal of atomic nuclei using variational formalism and performing momentum-space integration by Monte Carlo method. We take into account phonon-phonon and phonon-electron scattering mechanisms and show t...
متن کاملMagnetic field dissipation in neutron star crusts: from magnetars to isolated neutron stars
Context. We study the non–linear evolution of magnetic fields in neutron star crusts with special attention to the influence of the Hall drift. Aims. Our goal is to understand the conditions for fast dissipation due to the Hall term in the induction equation. We study the interplay of Ohmic dissipation and Hall drift in order to find a timescale for the overall crustal field decay. Methods. We ...
متن کاملDissipation of magnetic fields in neutron star crusts due to development of a tearing mode
Dissipation of magnetic fields in Hall plasma of neutron star crusts may power persistent high energy emission of a class of strongly magnetized neutrons stars, magnetars. We consider development of a dissipative tearing mode in Hall plasma (electron MHD) and find that its growth rate increases with the wave number of perturbations, reaching a maximum value intermediate between resistive τr and...
متن کامل