On mobility of ions in thin films in liquid substrates

The problem of energy dissipation by emission of ripplons is solved for an ion moving in the media with two interfaces (films on solid and liquid substrates), taking into account the Van der Waals interaction. It is shown that in contrast to the earlier considered case of solid substrate where the action of the Van der Waals forces causes only renormalization of the free fall acceleration, in the vase of liquid substrate the influence of these forces is much more complicated. In addition to renormalization of the amplitude of the emitted surface wave and change of the velocity threshold after which the wave mechanism is effective, in sufficiently thin film, where modes are ''intersected'' the analytical expressions for mobility are also significantly modified. In real experimental environments consideration of all the factors mentioned leads as a rule to higher ion mobility