论文标题
在存在磁场的情况下，惯性活跃的Ornstein-Uhlenbeck粒子
Inertial active Ornstein-Uhlenbeck particle in the presence of magnetic field
论文作者
论文摘要
我们考虑在静脉浴中的惯性活跃的Ornstein-Uhlenbeck粒子。将粒子带电，被约束以在二维谐波陷阱中移动，并施加磁场垂直于运动平面。当粒子被限制以及将其摆脱陷阱时，研究稳态相关性和均方根位移。借助数值模拟和分析计算，我们观察到惯性在存在磁场的情况下在动力学中起着至关重要的作用。在惯性效应可忽略不计的高度粘性介质中，磁场对位置和速度的相关行为没有影响。在渐近限制的时间里，磁场的存在和饱和以使更强的磁场饱和增强。另一方面，当粒子自由设置时，当场的强度很高时，整体位移会被抑制并接近零。有趣的是，可以看出，在渐近极限中，限制的谐波粒子的行为就像被动粒子，并独立于活性，尤其是在存在非常强的磁场的情况下。同样，对于自由粒子，即使在动力学中噪声相关性的持续性较长的情况下，长时间极限中的均方位移也独立于活动。
We consider an inertial active Ornstein-Uhlenbeck particle in an athermal bath. The particle is charged, constrained to move in a two-dimensional harmonic trap, and a magnetic field is applied perpendicular to the plane of motion. The steady state correlations and the mean square displacement are studied when the particle is confined as well as when it is set free from the trap. With the help of both numerical simulation and analytical calculations, we observe that inertia plays a crucial role in the dynamics in the presence of a magnetic field. In a highly viscous medium where the inertial effects are negligible, the magnetic field has no influence on the correlated behaviour of position as well as velocity. In the time asymptotic limit, the overall displacement of the confined harmonic particle gets enhanced by the presence of magnetic field and saturates for a stronger magnetic field. On the other hand, when the particle is set free, the overall displacement gets suppressed and approaches zero when strength of the field is very high. Interestingly, it is seen that in the time asymptotic limit, the confined harmonic particle behaves like a passive particle and becomes independent of the activity, especially in the presence of a very strong magnetic field. Similarly, for a free particle the mean square displacement in the long time limit becomes independent of activity even for a longer persistence of noise correlation in the dynamics.
