Department of Chemistry, Visva-Bharati, Santiniketan 731 235, India.
J Chem Phys. 2017 Oct 28;147(16):164102. doi: 10.1063/1.4999408.
In the present study, we have proposed the Fokker-Planck equation in a simple way for a Langevin equation of motion having ordinary derivative (OD), the Gaussian random force and a generalized frictional memory kernel. The equation may be associated with or without conservative force field from harmonic potential. We extend this method for a charged Brownian particle in the presence of a magnetic field. Thus, the present method is applicable for a Langevin equation of motion with OD, the Gaussian colored thermal noise and any kind of linear force field that may be conservative or not. It is also simple to apply this method for the colored Gaussian noise that is not related to the damping strength.
在本研究中，我们提出了一种简单的福克-普朗克方程，用于具有普通导数（OD）、高斯随机力和广义摩擦记忆核的朗之万运动方程。该方程可以与具有或不具有来自调和势的保守力场相关联。我们将此方法扩展到存在磁场的带电布朗粒子。因此，本方法适用于具有 OD、高斯色热噪声和任何种类的线性力场（可以是保守的或非保守的）的朗之万运动方程。对于与阻尼强度无关的有色高斯噪声，应用此方法也很简单。
