论文标题
活跃的Ornstein-Uhlenbeck颗粒的最可能的路径
The most probable path of Active Ornstein-Uhlenbeck particles
论文作者
论文摘要
使用非平衡动力学的路径积分表示，我们计算任意起点和最终点之间最可能的路径，然后是由持续噪声驱动的主动粒子。我们将注意力集中在浸入谐波电位中的活性颗粒的情况下，可以通过分析计算轨迹。一旦我们考虑了扩展的马尔可夫动力学，其中自动驱动器会根据Ornstein-uhlenbeck过程发展，我们就可以通过在位置和自我推向速度的任意条件下分析轨迹进行分析。我们测试了针对数值模拟的分析预测，并将分析结果与近似平衡样动力学中获得的结果进行了比较。
Using the path integral representation of the non-equilibrium dynamics, we compute the most probable path between arbitrary starting and final points, followed by an active particle driven by persistent noise. We focus our attention on the case of active particles immersed in harmonic potentials, where the trajectory can be computed analytically. Once we consider the extended Markovian dynamics where the self-propulsive drive evolves according to an Ornstein-Uhlenbeck process, we can compute the trajectory analytically with arbitrary conditions on position and self-propulsion velocity. We test the analytical predictions against numerical simulations and we compare the analytical results with those obtained within approximated equilibrium-like dynamics.
