Non-Linear Spin Dynamics Of The Electron Liquid In Nanosystems

We investigate the dynamics of spin-nonequilibrium electron systems in the hydrodynamic flow regime, when the normal scattering processes, which conserve the total quasi-momentum of the system of electrons and quasi-particles that interact with them, dominate over other scattering processes. We obtain a set of spin-hydrodynamic equations for the case of an arbitrary electron spectrum that varies slowly with the coordinates. Solving the one-dimensional non-linear problem we found the exact solutions both for the electrical potential in the open-ends circuit and for the spin-electrical oscillation in an inhomogeneous conducting ring. As we demonstrate, the oscillation characteristics are different in the cases of a magnetic ring and a non-magnetic ring to which the spin polarization was injected. We found also that a voltage between the ends of the open circuit may reveal the presence of an inhomogeneous spin polarization of the electron density.