Directed transport in a periodic tube driven by asymmetric unbiased forces coexisting with spatially modulated noises

► Unbiased forces and spatially modulated white noises affect the current. ► In the adiabatic limit, the analytical expression of directed current is obtained. ► Their competition will induce current reversals. ► For negative asymmetric parameters of the force, there exists an optimum parameter. ► The current increases monotonously for positive asymmetric parameters.