Emergence of spatiotemporal dislocation chains in drifting patterns
Abstract
One-dimensional patterns subjected to counter-propagative flows or speed jumps exhibit a rich and complex spatiotemporal dynamics, which is characterized by the perpetual emergence of spatiotemporal dislocation chains. Using a universal amplitude equation of drifting patterns, we show that this behavior is a result of a combination of a phase instability and an advection process caused by an inhomogeneous drift force. The emergence of spatiotemporal dislocation chains is verified in numerical simulations on an optical feedback system with a non-uniform intensity pump. Experimentally this phenomenon is also observed in a tilted quasi-one-dimensional fluidized shallow granular bed mechanically driven by a harmonic vertical vibration.
Description
The authors acknowledge financial support by the ANRCONICYT 39, “Colors”. M.G.C., M.A.G-N., C.F., and V.O. thank for the financial support of FONDECYT projects 1120320, 3110024, 1130354, and 3130382, respectively. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 24 (2): 023133, and may be found at https://doi.org/10.1063/1.4883650.
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