论文标题
在二维中运行式颗粒：边缘位置分布
Run-and-tumble particles in two-dimensions : Marginal position distributions
论文作者
论文摘要
我们研究了两个空间维度的一组跑步粒子（RTP）动力学。在第一种情况下，粒子的方向θ可以假设一组N可能的离散值，而在第二种情况下θ是连续变量。我们准确地计算了N = 3,4和连续情况的边际位置分布，并表明在所有情况下，RTP显示从弹道到扩散状态的交叉。弹道制度是系统活动性质的典型特征，其特征是取决于特定模型的非平凡位置分布。我们还表明，长时间活动的签名可以在非典型波动中找到，我们也通过明确计算大偏差函数来表征。
We study a set of Run-and-tumble particle (RTP) dynamics in two spatial dimensions. In the first case of the orientation θ of the particle can assume a set of n possible discrete values while in the second case θ is a continuous variable. We calculate exactly the marginal position distributions for n = 3,4 and the continuous case and show that in all the cases the RTP shows a cross-over from a ballistic to diffusive regime. The ballistic regime is a typical signature of the active nature of the systems and is characterized by non-trivial position distributions which depends on the specific model. We also show that, the signature of activity at long-times can be found in the atypical fluctuations which we also characterize by computing the large deviation functions explicitly.
