论文标题
在转向电位场中捕获活跃粒子的不稳定性
Trapping Instability of an Active Particle in Steering Potential Fields
论文作者
论文摘要
由主动自我推动驱动的粒子可能会受到不均匀的潜在领域的影响，转向其方向并导致限制和最终陷阱。对通用转向电位的捕获和/或释放动力学的分析处理，由于外部电位场与内在的活动噪声之间的耦合，其挑战带来了挑战。通过使用投影算子方法，我们获得了在大波动限制中集成的方向的粗粒末期方程，并在径向对称点源捕获电势中为平均第一通道时间提供了显式的分析解决方案。我们分析了与转向电势强度的临界值相关的随之而来的陷阱不稳定性，在该强度下不能将粒子引诱到陷阱中，或者在被吸引后无法离开陷阱之上。
A particle driven by active self-propulsion can be subject to inhomogeneous potential fields, steering its orientation and leading to confinement and eventual trapping. Analytical treatment of capture and/or release dynamics for general steering potentials presents a challenge due to its coupling between external potential fields and intrinsic active noise. By using the projection operator method we obtain the coarse-grained Dynkin equations with orientation integrated out in the large fluctuations limit, and derive explicit analytical solutions for the mean first passage time in radially symmetric point source trapping potentials. We analyze the ensuing trapping instabilities related to a critical value of the steering potential strength below which the particle either cannot be lured into the trap, or above which it is unable to leave the trap after being lured into it.
