Fokker-Planck approach to non-Gaussian normal diffusion: Hierarchical dynamics for diffusing diffusivity
Sumiyoshi AbeDepartment of Physics, College of Information Science and Engineering, Huaqiao University, Xiamen 361021, China; Institute of Physics, Kazan Federal University, Kazan 420008, Russia; Department of Natural and Mathematical Sciences, Turin Polytechnic University in Tashkent, Tashkent 100095, Uzbekistan; and ESIEA, 9 Rue Vesale, Paris 75005, France
ABI
Аннотация
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 is 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.
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