Crossover between Ballistic and Normal Diffusion(Oscillation, Chaos and Network Dynamics in Nonlinear Science)

概要

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Crossover between ballistic motion and normal diffusion is studied based on the continuous-time random walk (CTRW) approach in order to analyze universal properties of strongly correlated motion and the decay process of correlation in deterministic diffusion. There exists a characteristic time scale τ. For the time region t ≪τ, ballistic motion is observed, which is followed by normal diffusion for t≫τ. Higher-order moments are analytically obtained, and it is found that they obey scaling relations that are reminiscent of the generalized extended self-similarity (GESS) found in turbulent systems. As a simple dynamical system for numerical simulations, the climbing sine map in the vicinity of band crisis is considered. Good agreement between the theory and the numerical simulations is observed.
理論物理学刊行会の論文
2006-04-20