具有径向、切向和微扰力的联合概率密度
Joint probability density with radial, tangential, and perturbative forces
AI总结：
研究同时受径向、切向和微扰力作用的活性粒子的 Fokker-Planck 方程，求出联合概率密度解，发现径向均方速度呈超扩散分布，切向均方速度呈高斯扩散。
摘要：
我们研究了同时具有径向力、切向力和微扰力的活性粒子的 Fokker-Planck 方程。我们求出了联合概率密度的解。在长时间区域和特征时间=0区域的极限下，活性粒子的径向均方速度导致超扩散分布，而同时具有径向力、切向力和微扰力的切向均方速度表现为高斯扩散。与自驱动粒子相比，切向均方速度在时间 ~t^2 时匹配相同的值，而径向均方速度与时间 ~t 相同。
英文摘要：
We study the Fokker-Planck equation for an active particle with both the radial and tangential forces and the perturbative force. We find the solution of the joint probability density. In the limit of the long-time domain and for the characteristic time=0 domain, the mean squared radial velocity for an active particle leads to a super-diffusive distribution, while the mean squared tangential velocity with both the radial and tangential forces and the perturbative force behaviors as the Gaussian diffusion. Compared with the self-propelled particle, the mean squared tangential velocity is matched with the same value to the time ~t^2, while the mean squared radial velocity is the same as the time ~t.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
