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Updated: Apr 16, 2026

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Anomalous velocity fluctuation in one-dimensional defect turbulence
Yusuke Uchiyama1, Takanori Kadoya1, Hidetoshi Konno1
1Department of Risk Engineering, Faculty of Information and Systems, University of Tsukuba, Tsukuba, Ibaraki 305-8573, Japan.
Abstract:
In this paper various eccentric hole dynamics are presented in defect turbulence of the one-dimensional complex Ginzburg-Landau equation. Each hole shows coherent particlelike motion with nonconstant velocity. On the other hand, successive hole velocities without discriminating each hole exhibit anomalous intermittent motions being subject to multi-time-scale non-Gaussian statistics. An alternate non-Markov stochastic differential equation is proposed, by which all these observed statistical properties can be described successfully.
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