The passive particle transport through narrow channels is well studied, while for an active particle system, it is not well understood. Here, we demonstrate the active control of the transport through a nanopore via mean-field analysis and molecular dynamics simulations. We prove that the active force enhances the transport efficiency with an effective diffusion coefficient $D_{\text{eff}}=D_t(1+P{e}^2/6)$, where D_t is the translational diffusion coefficient and Pe is the Péclet number that determines the strength of the active force. For the number of particles inside the channel, it experiences subdiffusion at short times and then turns to normal at longer times. Finally, we extend our research for several sinusoidal shapes of the channel surface. More particles are trapped in the channel if the roughness of the channel surface is increased, resulting in fewer particles are transported from one side of the channel to the other.

中文翻译：

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主动控制通过纳米孔的传输

通过窄通道的被动粒子传输得到了很好的研究，而对于主动粒子系统，它却不是很清楚。在这里，我们通过平均场分析和分子动力学模拟证明了通过纳米孔的传输的主动控制。我们证明了主动力通过有效扩散系数提高了运输效率$D_{\text{效果}}=D_{吨}(1+磷{\mathrm{电子}}^2/6)$，其中D _t是平移扩散系数，Pe是决定主动力强度的 Péclet 数。对于通道内的粒子数量，它会在短时间内经历亚扩散，然后在较长时间内恢复正常。最后，我们扩展了对通道表面的几种正弦形状的研究。如果通道表面的粗糙度增加，更多的颗粒会被困在通道中，从而导致从通道一侧传输到另一侧的颗粒减少。