Anomalous velocity fluctuation in one-dimensional defect turbulence

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Feb;91(2):022127. doi: 10.1103/PhysRevE.91.022127. Epub 2015 Feb 19.

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.