Heat superconductivity and electrical activity of superfluid systems

It has been shown that a heat flux induced by the temperature gradient $\nabla T$ in He-II placed in a magnetic field $\mathrm{H}$ generates an electric field $\mathrm{E}\sim\mathrm{H}\times\nabla T$. The effect occurs in superfluid dielectric systems because of their heat superconductivity. The magnitude of the field significantly depends on the shape of a sample with helium and on the direction of the magnetic field with respect to the sample. It has been shown that the effect exists at both static and time dependent temperature gradient (at the propagation of the second sound).