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Statistics of defect motion in spatiotemporal chaos in inclined layer convection

Chaos 13, 55 (2003); doi:10.1063/1.1536330

Published 17 January 2003

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Karen E. Daniels and Eberhard Bodenschatz
Laboratory of Atomic and Solid State Physics, Cornell University, Ithaca, New York 14853
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 Lévy flights and anomalous diffusion. In addition, we describe time-reversal and system size invariance for defect creation and annihilation rates. ©2003 American Institute of Physics.
History: Received 4 November 2002; accepted 20 November 2002; published 17 January 2003
Permalink: http://link.aip.org/link/?CHAOEH/13/55/1
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KEYWORDS and PACS

Keywords
PACS
  • 47.52.+j
    Chaos in fluid dynamics
  • 05.45.-a
    Nonlinear dynamics and nonlinear dynamical systems
  • 47.27.Te
    Convection and heat transfer in fluid dynamics
  • 05.40.Fb
    Random walks and Levy flights
  • 02.50.-r
    Probability theory, stochastic processes, and statistics
  • 05.60.-k
    Transport processes
  • YEAR: 2003

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PUBLICATION DATA

ISSN:
1054-1500 (print)   1089-7682 (online)
Publisher:
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