78 citations · 499 across the 18 of their papers we have counts for
18 papers
Exact Generalized Langevin Dynamics of Pair Coordinates in Elastic Networks
Shunsuke Ando, Tomoya Urashita, Soya Shinkai +1
Generalized Langevin equations (GLEs) provide a powerful framework for describing slow dynamics in soft-matter systems, but deriving an exact homogeneous GLE (hGLE) for a reaction…
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 dynamics for single beads in linear elastic network
Soya Shinkai, Shuichi Onami, Tomoshige Miyaguchi
We derive generalized Langevin equations (GLEs) for single beads in linear elastic networks. In particular, the derivations of the GLEs are conducted without employing normal modes…
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…
Detrended fluctuation analysis of earthquake data
Takumi Kataoka, Tomoshige Miyaguchi, Takuma Akimoto
The detrended fluctuation analysis (DFA) is extensively useful in stochastic processes to unveil the long-term correlation. Here, we apply the DFA to point processes that mimick ea…
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…