相关随机力矩辅助的主动运动
Active motion assisted by correlated stochastic torques
摘要：
研究了在恒定速度下受脉动转矩驱动的主动粒子的随机动力学。随机扭矩力表示为确定运动方向的颗粒的角动力学的随机微分方程。除了一个恒定的扭矩，该粒子是补充随机扭矩建模为一个奥恩斯坦-乌伦贝克过程与给定的相关时间$τ_c$。这些非零相关性导致粒子轨迹的持续性和有效空间扩散系数的变化。我们讨论的相关时间和噪声强度的函数的均方位移和检测的有效扩散系数相对于相关时间和噪声强度的非单调依赖。如果相关的角度噪声使被小的自旋中断的弯曲轨迹变直，则获得最大的扩散行为，由此相关的噪声放大了由恒定扭矩引起的弯曲轨迹的变直。
英文摘要：
The stochastic dynamics of an active particle undergoing a constant speed and additionally driven by an overall fluctuating torque is investigated. The random torque forces are expressed by a stochastic differential equation for the angular dynamics of the particle determining the orientation of motion. In addition to a constant torque, the particle is supplemented by random torques which are modeled as an Ornstein-Uhlenbeck process with given correlation time $τ_c$. These nonvanishing correlations cause a persistence of the particles' trajectories and a change of the effective spatial diffusion coefficient. We discuss the mean square displacement as a function of the correlation time and the noise intensity and detect a nonmonotonic dependence of the effective diffusion coefficient with respect to both correlation time and noise strength. A maximal diffusion behavior is obtained if the correlated angular noise straightens the curved trajectories, interrupted by small pirouettes, whereby the correlated noise amplifies a straightening of the curved trajectories caused by the constant torque.
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