Arredondo A, Calavitta C, Gomez M, Mendez-Villanueva J, Ahmed W W, Brubaker N D
Department of Mathematics, California State University, Fullerton, Fullerton, California 92831, USA.
Department of Physics, California State University, Fullerton, Fullerton, California 92831, USA.
Phys Rev E. 2024 Mar;109(3-1):034405. doi: 10.1103/PhysRevE.109.034405.
A harmonically trapped active Brownian particle exhibits two types of positional distributions-one has a single peak and the other has a single well-that signify steady-state dynamics with low and high activity, respectively. Adding inertia to the translational motion preserves this strict classification of either single-peak or single-well densities but shifts the dividing boundary between the states in the parameter space. We characterize this shift for the dynamics in one spatial dimension using the static Fokker-Planck equation for the full joint distribution of the state space. We derive local results analytically with a perturbation method for a small rotational velocity and then extend them globally with a numerical approach.
一个受到谐波捕获的活性布朗粒子表现出两种位置分布类型——一种具有单峰，另一种具有单阱——分别表示低活性和高活性的稳态动力学。在平动中加入惯性会保留这种单峰或单阱密度的严格分类，但会在参数空间中移动状态之间的分界边界。我们使用状态空间全联合分布的静态福克 - 普朗克方程来表征一维动力学中的这种移动。我们通过微扰方法对小旋转速度进行解析推导局部结果，然后用数值方法将其全局扩展。
