The magnetic structure of neutron stars and their surface-to-core temperature relation

We study the relation between the mean effective surface temperature T_s and the internal temperature T_b for magnetic neutron stars, assuming that the magnetic field near the surface has a presumably small-scale structure. The heavy-element (iron) and light-element (accreted) heat-blanketing envelopes are considered, and the results are compared with the case of a dipole magnetic field. We argue that the difference in the T_b(T_s)-relation for different magnetic configurations is always much smaller than a possible difference caused by variations of the chemical composition in the envelope.