数理科学セミナー:Anomalous diffusion in random dynamical systems

開催日時
2017年   6月 27日 17時 00分 ~ 2017年   6月 27日 18時 00分
場所
理学部3号館3-202号室
講演者
Yuzuru Sato (RIES/Department of Mathematics)
 
Abstract: Diffusion based on stochastic chaos in random dynamical systems is studied. There is noise-induced anomalous diffusion and ageing in a spatially extended dynamical systems, where the unperturbed version is a well-established model for deterministic diffusion. The power law exponents for the mean square displacement and the waiting time distribution match to predictions by continuous time random walk theory. When we fix a particular noise realization, we find noise-induced synchronization of jump times and the breaking of self-averaging. Robustness of this phenomenon is also briefly discussed by revealing noise-induced anomalous diffusion in a class of nonlinear dynamical systems. This is a joint work with Prof. Rainer Klages at Queen Mary University of London.

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