Analytical models of neutron star envelopes

Statistics – Computation

Scientific paper

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Computational Astrophysics, Neutron Stars, Stellar Envelopes, Stellar Models, Cooling, Heat Flux, Opacity, Stellar Magnetic Fields, Stellar Temperature, Thermal Conductivity

Scientific paper

The thermal structure of neutron star envelopes is investigated using approximate analytical formulae. In the degenerate layers the thermal structure equation is solved exactly for electron-dominated heat transport. In the nondegenerate layers it is shown that if the opacity is a power-law function of density and temperature, then the T(rho) profiles lie along curves of constant thermal conductivity. The two solutions are matched at intermediate densities to give an approximate relation between the heat flux and the core temperature of the neutron star. The dependence on various uncertain factors is found explicitly, allowing a detailed understanding of the physical processes that control the heat flux. The possible significance of the results to cooling calculations that take into account strong magnetic fields is discussed.

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