活动Ornstein-Uhlenbeck粒子的最可几路径
The most probable path of Active Ornstein-Uhlenbeck particles
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终点之间的最可能路径，其次是由持续噪声驱动的活性粒子。我们把我们的注意力集中在活性粒子沉浸在谐波电位的情况下，在那里的轨迹可以解析计算。一旦我们考虑扩展的马尔可夫动力学，其中自推进驱动器根据Ornstein-Uhlenbeck过程演变，我们就可以在位置和自推进速度的任意条件下解析地计算轨迹。我们测试的分析预测数值模拟，我们比较的分析结果与近似的平衡动力学内获得的。
英文摘要：
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.
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