论文标题
稳态相关性和诱导的惯性AOUP粒子的捕获
Steady state correlations and induced trapping of an inertial AOUP particle
论文作者
论文摘要
我们研究了惯性活跃的Ornstein-Uhnlenbeck粒子在受限的谐波井中的自我销售的动力学。通过分析粒子轨迹，稳态相关性和均方根位移（MSD）来研究粒子的运输行为。使用不同的方法精确计算了位置和速度的稳态相关函数。当粒子被限制在谐波陷阱中以及设置自由时，我们探讨了惯性如何影响动力学行为。从MSD的确切计算中，可以观察到，对谐波粒子和游离粒子的初始时间模式都是弹道的，而长期态度对于自由粒子而言是扩散的，对于和谐限制的粒子而言无扩散。我们有趣的观察结果之一是，谐波限制的粒子越来越局限于动态的自我推进时间或活动时间的增加，最后被困在很大的自我推进时间中。对于自由粒子，速度相关性通过惯性时间尺度和动力学的自推进时间尺度之间的复杂相互作用衰减。此外，仅当这两个时间尺度相等时，速度的去相关才会发生。
We study the dynamics of an inertial active Ornstein-Uhnlenbeck particle self-propelling in a confined harmonic well. The transport behaviour of the particle is investigated by analyzing the particle trajectories, steady state correlations, and mean square displacement (MSD). The steady state correlation functions for the position as well as velocity are exactly calculated using different methods. We explore how the inertia affects the dynamical behaviour, when the particle is confined in a harmonic trap as well as when it is set free. From the exact calculation of MSD, it is observed that the initial time regimes are ballistic for both harmonically confined particle and free particle, whereas the long time regimes are diffusive for a free particle and non diffusive for a harmonically confined particle. One of our interesting observation is that the harmonically confined particle gets more and more confined with increase in the self propulsion time or activity time of the dynamics and finally it gets trapped for very large self propulsion time. For a free particle, the velocity correlation decays by the complex interplay between the inertial time scale and the self propulsion time scale of the dynamics. Moreover, decorrelation in velocity happens only when these two time scales are of equal order.
