Nonlinear Hall effect in the stationary cylinder with a radial heat flux

Abstract: A conducting cylinder with a uniform magnetic field along its axis and radial temperature gradient is considered at the stationary state. At large temperature gradients the azimuthal Hall electrical current creates the axial magnetic field which strength may be comparable with the original one. It is shown, that the magnetic field, generated by the azimuthal Hall current, leads to the decrease of magnetic field originated by external sources, and this suppression increases with increase of the electromotive force, connected with a thermodiffusion. Obtained results can help to investigate influence of the Hall current on the coupled magneto-thermal evolution of magnetic and electric fields in neutron stars, white dwarfs, and, possibly, in a laboratory facilities.