78 citations · 499 across the 18 of their papers we have counts for
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Anomalous statistics in the Langevin equation with fluctuating diffusivity: from Brownian yet non-Gaussian diffusion to anomalous diffusion and ergodicity breaking
Takuma Akimoto, Jae-Hyung Jeon, Ralf Metzler +3
Diffusive motion is a fundamental transport mechanism in physical and biological systems, governing dynamics across a wide range of scales -- from molecular transport to animal for…
Generalized Langevin equation with fluctuating diffusivity
Tomoshige Miyaguchi
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 me…
Brownian motion with alternately fluctuating diffusivity: Stretched-exponential and power-law relaxation
Tomoshige Miyaguchi, Takashi Uneyama, Takuma Akimoto
We investigate Brownian motion with diffusivity alternately fluctuating between fast and slow states. We assume that sojourn-time distributions of these two states are given by exp…
Relaxation Functions of Ornstein-Uhlenbeck Process with Fluctuating Diffusivity
Takashi Uneyama, Tomoshige Miyaguchi, Takuma Akimoto
We study a relaxation behavior of an Ornstein-Uhlenbeck (OU) process with a time-dependent and fluctuating diffusivity. In this process, the dynamics of a position vector is modele…
Elucidating fluctuating diffusivity in center-of-mass motion of polymer models with time-averaged mean-square-displacement tensor
Tomoshige Miyaguchi
There have been increasing reports that the diffusion coefficient of macromolecules depends on time and fluctuates randomly. Here, a novel method to elucidate the fluctuating diffu…
Langevin equation with fluctuating diffusivity: a two-state model
Tomoshige Miyaguchi, Takuma Akimoto, Eiji Yamamoto
Recently, anomalous subdiffusion, aging, and scatter of the diffusion coefficient have been reported in many single-particle-tracking experiments, though origins of these behaviors…