We analyze the case of run-and-tumble particles pushed through a rugged channel both in the continuum and on the lattice. The current characteristic is non-monotone in the external field with the appearance of a current and nontrivial density profile even at zero field for asymmetric obstacles. If an external field is exerted against the direction of that zero-field current, then the resulting current decreases with persistence at small field and increases with persistence at large field. Activity in terms of self-propulsion increases the maximal current and postpones dying. We give an effective theoretical description with wider validity.

中文翻译：

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通过凹凸不平的通道推动滚滚颗粒

我们分析了在连续体和晶格中通过凹凸不平的通道推动的滚动颗粒的情况。电流特性在外部场中是非单调的，即使在非对称障碍物的零场处，也具有电流和非平凡的密度分布。如果向该零磁场电流的方向施加外部磁场，则所得电流在小磁场下会随着持久性而减小，而在大磁场下会随着持久性而增大。就自我推进而言，活动增加了最大电流并推迟了死亡。我们给出了有效的理论描述，具有更广泛的有效性。