# Langevin equation with fluctuating diffusivity: A two-state model.

@article{Miyaguchi2016LangevinEW, title={Langevin equation with fluctuating diffusivity: A two-state model.}, author={Tomoshige Miyaguchi and Takuma Akimoto and Eiji Yamamoto}, journal={Physical review. E}, year={2016}, volume={94 1-1}, pages={ 012109 } }

Recently, anomalous subdiffusion, aging, and scatter of the diffusion coefficient have been reported in many single-particle-tracking experiments, though the origins of these behaviors are still elusive. Here, as a model to describe such phenomena, we investigate a Langevin equation with diffusivity fluctuating between a fast and a slow state. Namely, the diffusivity follows a dichotomous stochastic process. We assume that the sojourn time distributions of these two states are given by power…

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