论文标题
非马克维亚动力学的fokker-planck方程的快捷方式
A shortcut way to the Fokker-Planck equation for the non-Markovian dynamics
论文作者
论文摘要
使用快捷方式，我们为Langevin动力学得出了具有广义的摩擦记忆内核和时间依赖性力场的Fokker-Planck方程。然后，我们表明该方法适用于谐波电位或磁场或两者的额外力的非马克维亚动力学。在这些复杂情况下，该方法的简单性是高度明显的，并且适用于任何类型的线性Langevin运动方程来推导Fokker-Planck方程，该方程描述了具有或没有摩擦式内存核心的添加色彩噪声驱动的非马尔可夫动力学。例如，即使是在线性系统上具有额外的彩色高斯噪声，也可以应用该方法，这与阻尼强度无关。通过这些研究，本研究可能会在随机热力学领域引起人们的强烈关注，现在在早期考虑非马克维亚动力学。
Using a shortcut way we have derived the Fokker-Planck equation for the Langevin dynamics with a generalized frictional memory kernel and time-dependent force field. Then we have shown that this method is applicable for the non-Markovian dynamics with additional force from harmonic potential or magnetic field or both of them. The simplicity of the method in these complex cases is highly noticeable and it is applicable to derive the Fokker-Planck equation for any kind of linear Langevin equation of motion which describes additive colored noise driven non Markovian dynamics with or without frictional memory kernel. For example, one may apply the method even for the linear system with an additional colored Gaussian noise which is not related to the damping strength. With these the present study may get strong attention in the field of stochastic thermodynamics which is now at early stage to consider the non-Markovian dynamics.
