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4 papers · 2 filters
Reaction-diffusion-advection equation in binary tree networks and optimal size ratio
Hidetsugu Sakaguchi
A simple reaction-diffusion-advection equation is proposed in a dichotomous tree network to discuss an optimal network. An optimal size ratio r is evaluated by the principle of max…
Scaling analysis of stationary probability distributions of random walks on one-dimensional lattices with aperiodic disorder
Hiroshi Miki
Stationary probability distributions of one-dimensional random walks on lattices with aperiodic disorder are investigated. The pattern of the distribution is closely related to the…
Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
Sheldon Goldstein, Takashi Hara, Hal Tasaki
The fact that macroscopic systems approach thermal equilibrium may seem puzzling, for example, because it may seem to conflict with the time-reversibility of the microscopic dynami…
The approach to equilibrium in a macroscopic quantum system for a typical nonequilibrium subspace
Sheldon Goldstein, Takashi Hara, Hal Tasaki
We study the problem of the approach to equilibrium in a macroscopic quantum system in an abstract setting. We prove that, for a typical choice of "nonequilibrium subspace", any in…