Nomlinear Hall effect in a time-periodic electric field and related   phenomena
  A motion of neutral and charged particles located nearby a metal surface under joint action of time-periodic electric field E(t) directed normally to the surface and permanent magnetic field H directed along the surface has been considered. I has been shown that due to a nonlinearity of the system there exists a directed transport of the particles perpendicularly to both magnetic and electric fields with velocity which is proportional to H and a square of E.   The mean velocity has been evaluated for charged (ions,electrons etc.) and neutral (atoms, molecules, nano-size clusters etc.) particles adsorbed on a metal surface. Corresponding surface electric current has been found as a function of a frequency of the electric field and material parameters. It has been noted that the similar phenomena appear in a bulk of electrically inhomogeneous media. 
A.A. Ovchinnikov