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Directional transport of active particles confined in 3D smooth corrugated channel

The transport phenomenon of active particles confined in 3D(three dimensional) corrugated confined channel with Gaussian noises is investigated. Large noise intensity perpendicular to the symmetry axis is good for the diffusion and current along the axis. The generalized resonance transport phenomenon appears with increasing noise intensity parallel to the symmetry axis. Large noise intensity parallel to axis can suppress the diffusion. The diffusion coefficient has a maximum with increasing polar angle noise intensity. There exits an optimal value of parameter f that result in maximum movement speed. Large f is good for the diffusion. Transport reverse phenomenon appears with increasing channel parameter ε and Δ. Too large or too small values of ε and Δ can suppress the diffusion.