Complex spectral properties of non-Hermitian operators: An application to open-flow mixing systems

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Bibtex

@article{9cbaffc90b1248b59f8862d30786600f,
title = "Complex spectral properties of non-Hermitian operators: An application to open-flow mixing systems",
abstract = "We study the spectral properties of the advection-diffusion operator associated with a non-chaotic 3d Stokes flow defined in the annular region between counter-rotating cylinders of finite length. The focus is on the dependence of the eigenvalue-eigenfunction spectrum on the Peclet number Pe. Several convection-enhanced mixing regimes are identified, each characterized by a power law scaling, -μd∼Pe-γ (γd, vs.Pe. Among these regimes, a Pe-independent scaling -μd=const (i.e., γ=0), qualitatively similar to the asymptotic regime of globally chaotic flows, is observed. This regime arises as the consequence of different eigenvalues branches interchanging dominance at increasing Pe. A combination of perturbation analysis and functional-theoretical arguments is used to explain the occurrence and the range of existence of each regime.",
author = "M. Giona and S. Cerbelli and F. Garofalo",
year = "2008",
month = aug,
day = "1",
doi = "10.1209/0295-5075/83/34001",
language = "English",
volume = "83",
journal = "Europhysics Letters",
issn = "1286-4854",
publisher = "EDP Sciences",
number = "3",

}