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

M. Giona; S. Cerbelli; F. Garofalo

doi:10.1209/0295-5075/83/34001

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

M. Giona
, S. Cerbelli
, F. Garofalo

Processing and Performance

Research output: Contribution to journal › Article › Academic › peer-review

7 Citations (Scopus)

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-¿ (¿

Original language	English
Article number	34001
Pages (from-to)	1-6
Journal	EPL
Volume	83
Issue number	3
DOIs	https://doi.org/10.1209/0295-5075/83/34001
Publication status	Published - 2008

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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\textasciitilde{}Pe-¿ (¿",

author = "M. Giona and S. Cerbelli and F. Garofalo",

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AU - Giona, M.

AU - Cerbelli, S.

AU - Garofalo, F.

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N2 - 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-¿ (¿

AB - 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-¿ (¿

U2 - 10.1209/0295-5075/83/34001

DO - 10.1209/0295-5075/83/34001

M3 - Article

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VL - 83

SP - 1

EP - 6

JO - EPL

JF - EPL

IS - 3

M1 - 34001

ER -

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

Abstract

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