论文标题
手性奔跑的步行者：运输和优化搜索
Chiral run-and-tumble walker: transport and optimizing search
论文作者
论文摘要
我们研究了连续时空和时间在两个维度上的非马克维亚手性奔跑和摔倒粒子（CRTP）的统计特性。在我们的模型中，粒子的可能方向对应于四个基本方向。粒子可以通过向左，右转或以不同速率逆转其运动方向进行重新定向。我们展示了手性如何在运输特性中表现出来，例如边缘位置分布的空间矩和CRTP的第一阶段特性。有趣的是，我们发现手性会导致轨迹空间中增强的扩散和\ textit {循环}趋势。此外，我们的结果表明，手性在改进搜索策略中起着关键作用 - 尤其是在滚动中存在最佳偏见，可以最大程度地减少平均搜索时间。该关键观察可以在确定生活系统如何在非平衡条件下有效搜索的方式中起着至关重要的作用。
We study the statistical properties of a non-Markovian chiral run-and-tumble particle (CRTP) in two dimensions in continuous space and time. In our model, the possible orientations of the particle correspond to the four cardinal directions. The particle can reorient by turning left, right or reversing its direction of motion at different rates. We show how chirality manifests itself in the transport properties like the spatial moments of the marginal position distribution and the first-passage properties of a CRTP. Interestingly, we find that the chirality leads to enhanced diffusion and a \textit{looping} tendency in the trajectory space. Furthermore, our results show that chirality plays a pivotal role in the improvement of the search strategy -- notably, there exists an optimal bias in tumbling that minimizes the mean search time. This key observation can play a crucial role in determining how living systems efficiently search under non-equilibrium conditions.
