Statistics of defect motion in spatiotemporal chaos in inclined layer convection

Details Statistics of defect motion in spatiotemporal chaos in inclined layer convection Statistics of defect motion in spatiotemporal chaos in inclined layer convection

2002-11-05

arxiv.org/abs/nlin/0211003v1

Nonlinear Sciences

Pattern Formation and Solitons

(21 pages, 17 figures)

Scientific paper

10.1063/1.1536330

We report experiments on defect-tracking in the state of undulation chaos observed in thermal convection of an inclined fluid layer. We characterize the ensemble of defect trajectories according to their velocities, relative positions, diffusion, and gain and loss rates. In particular, the defects exhibit incidents of rapid transverse motion which result in power law distributions for a number of quantitative measures. We examine connections between this behavior and L\'evy flights and anomalous diffusion. In addition, we describe time-reversal and system size invariance for defect creation and annihilation rates.

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