Investigation of magneto‐thermal evolution of AXP 1E 2259 + 586

Abstract

In this work, we calculated the toroidal magnetic field decay rates and magnetic energy decay rates by considering the general relativity effect of AXP 1E2259 + 586 associated with the supernova remnant CTB 109. The results confirmed that the high thermal radiation on the surface of the star could be attributed to Joule heating caused by the dissipation of crustal magnetic field. We also investigated the effects of ultrastrong magnetic fields on magnetization parameter and thermal conductivity in the crust.

The magnetar crustal magneto‐thermal evolution

“…Some magnetars have X‐ray luminosity much larger than their spin‐down luminosity (Gao et al 2011b, 2015). The high thermal radiation on the surface of magnetars could be attributed to Ohmic heating caused by the dissipation of the crustal magnetic field (Wang et al 2021), thus requiring the presence of additional heat sources. There are three important types: liquid core heat flow under ambipolar diffusion heating mechanism (Thompson & Duncan 1996), which involves crustal deformations beyond the elastic limit induced by magnetic stresses; mechanical dissipation in solid crust and Ohmic dissipation in crust (Beloborodov & Li 2016; De Grandis et al 2020).…”

Equation of state and surface thermal emission of magnetized white dwarfs

“…This paper aims to establish a coupled magnetothermal evolution model for B-WDs, based on our previous study on the neutron star magnetic field evolution (Gao et al , 2017(Gao et al , 2021Wang et al 2019Wang et al , 2020Wang et al , 2021. The specific methods include introducing the magnetic-to-thermal conversion coefficient, combining the Ohmic dissipation and Hall drift, and considering the influence of the central temperature on the stellar radius.…”