Normal and anomalous transport phenomena in two-dimensional NaCl, MoS2 and honeycomb surfaces

Understanding the effects of anisotropy and substrate shape on the stochastic processes is critically needed for the improvement of the quality of the transport information. The effect of biharmonic force on the transport phenomena of a particle in two-dimensional is investigated in the framework of three representative substrate lattices: NaCl, MoS2 and honeycomb. We focus on the particles drift velocity, to characterize the transport properties in the system. Normal and anomalous transport are identified for a particular set of the system parameters such as the biharmonic parameter, the bias force, the phase-lag of two signals, as well as the noise amplitude. According to the direction ψ where the bias force is applied, we determine the biharmonic parameter ϵ for the presence of anomalous transport and show that for the NaCl surface, the anomalous transport is observed for 2<ϵ<10. For the MoS2 surface, it appears at monochromatic driven (ϵ=0) and for 3<ϵ<9. In particular for the honeycomb surface anomalous transport is generated for 0⩽ϵ<6 only when ψ>30°.