论文标题
非高斯正常扩散的Fokker-Planck方法:扩散扩散率的分层动力学
Fokker-Planck approach to non-Gaussian normal diffusion: Hierarchical dynamics for diffusing diffusivity
论文作者
论文摘要
为非高斯正常扩散现象开发了一个理论框架,该现象已在几个异质系统中实验观察到。从具有很大分开的时间尺度的动力结构的Fokker-Planck方程式,为快速的自由度,缓慢的自由度和这两个层次结构之间的耦合而得出了一组三个方程。结果表明,这种方法始终描述“扩散扩散率”和非高斯正常扩散。
A theoretical framework is developed for the phenomenon of non-Gaussian normal diffusion that has experimentally been observed in several heterogeneous systems. From the Fokker-Planck equation with the dynamical structure with largely separated time scales, a set of three equations are derived for the fast degree of freedom, the slow degree of freedom and the coupling between these two hierarchies. It is shown that this approach consistently describes "diffusing diffusivity" and non-Gaussian normal diffusion.