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5 papers · 2 filters
Transition from distributional to ergodic behavior in an inhomogeneous diffusion process: Method revealing an unknown surface diffusivity
Takuma Akimoto, Kazuhiko Seki
Diffusion of molecules in cells plays an important role in providing a biological reaction on the surface by finding a target on the membrane surface. The water retardation (slow d…
Fluctuation Analysis of Time-Averaged Mean-Square Displacement for Langevin Equation with Time-Dependent and Fluctuating Diffusivity
Takashi Uneyama, Tomoshige Miyaguchi, Takuma Akimoto
The mean-square displacement (MSD) is widely utilized to study the dynamical properties of stochastic processes. The time-averaged MSD (TAMSD) provides some information on the dyna…
Anomalous diffusion in a quenched-trap model on fractal lattices
Tomoshige Miyaguchi, Takuma Akimoto
Models with mixed origins of anomalous subdiffusion have been considered important for understanding transport in biological systems. Here, one such mixed model, the quenched trap…
Phase Diagram in Stored-Energy-Driven Lévy Flight
Takuma Akimoto, Tomoshige Miyaguchi
Phase diagram based on the mean square displacement (MSD) and the distribution of diffusion coefficients of the time-averaged MSD for the stored-energy-driven Lévy flight (SEDLF) i…
Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
Suman G. Das, Abhishek Dhar, Keiji Saito +2
Recent work has developed a nonlinear hydrodynamic fluctuation theory for a chain of coupled anharmonic oscillators governing the conserved fields, namely stretch, momentum, and en…