Effect of the Landau quantization of electrons on the inner crusts of hot neutron stars

In the present work we study effects of strongly quantizing magnetic fields and finite temperature on properties inner crusts hot neutron stars. The crust a star contains neutron-rich nuclei arranged in lattice embedded gases free neutrons electrons. We describe system within Wigner-Seitz (WS) cell approximation. nuclear energy is calculated using Skyrme model with SkM* interaction. To isolate follow subtraction procedure presented by Bonche, Levit Vautherin, Thomas-Fermi obtain equilibrium for various density, temperatures minimizing WS satisfying charge neutrality $\beta-$equilibrium conditions. infer that at fixed baryon density temperature, strong field reduces radii, proton numbers compared case. However, nucleon number nucleus increases presence field. per also decreases magnetized crust. On other hand, find tends to smear out Our results can be important context $r-$process nucleosynthesis binary mergers.