Nuclear deflagration on the surface of accreting neutron stars

We analyze the structure of a nuclear deflagration front in the crust of accreting neutron stars. Models of quasi-stationary deflagration fronts are calculated and subsequently evolved in time and space in order to check their stability. Unlike white dwarfs, where the velocity of aninwards propagating combustion front is governed mainly by energy losses to the gravitational field, the structure of a deflagration front in neutron stars is determined essentially by the heat fluxes into the stellar core.