论文标题
广义的兰格文方程，具有波动的扩散率
Generalized Langevin equation with fluctuating diffusivity
论文作者
论文摘要
提出了具有波动扩散率（GLEFD）的广义Langevin方程，并表明GLEFD满足了广义的波动散失关系。如果记忆内核是幂律，则GLEFD表现出异常的尺寸，非高斯和伸展指定的放松。还研究了由单个指数函数给出的内存内核的情况。特别是，该系统的均方位移和自相互散射功能显示出平稳结构。还提出了一个集成GLEFD的数值方案。
A generalized Langevin equation with fluctuating diffusivity (GLEFD) is proposed, and it is shown that the GLEFD satisfies a generalized fluctuation-dissipation relation. If the memory kernel is a power law, the GLEFD exhibits anomalous subdiffusion, non-Gaussianity, and stretched-exponential relaxation. The case in which the memory kernel is given by a single exponential function is also investigated as an analytically tractable example. In particular, the mean-square displacement and the self-intermediate-scattering function of this system show plateau structures. A numerical scheme to integrate the GLEFD is also presented.
