Linear signatures in nonlinear gyrokinetics: interpreting turbulence with pseudospectra

Hatch, D. R.; Jenko, F.; Navarro, A. Bañón; Bratanov, V.; Terry, P. W.; Pueschel, M. J.

doi:10.1088/1367-2630/18/7/075018

Title: Linear signatures in nonlinear gyrokinetics: interpreting turbulence with pseudospectra

Journal Article · 01 July 2016 · New Journal of Physics

DOI: https://doi.org/10.1088/1367-2630/18/7/075018 · OSTI ID:1272650

Hatch, D. R.; Jenko, F.; Navarro, A. Bañón; Bratanov, V.; Terry, P. W.; Pueschel, M. J.

A notable feature of plasma turbulence is its propensity to retain features of the underlying linear eigenmodes in a strongly turbulent state—a property that can be exploited to predict various aspects of the turbulence using only linear information. In this context, this work examines gradient-driven gyrokinetic plasma turbulence through three lenses—linear eigenvalue spectra, pseudospectra, and singular value decomposition (SVD). We study a reduced gyrokinetic model whose linear eigenvalue spectra include ion temperature gradient driven modes, stable drift waves, and kinetic modes representing Landau damping. The goal is to characterize in which ways, if any, these familiar ingredients are manifest in the nonlinear turbulent state. This pursuit is aided by the use of pseudospectra, which provide a more nuanced view of the linear operator by characterizing its response to perturbations. We introduce a new technique whereby the nonlinearly evolved phase space structures extracted with SVD are linked to the linear operator using concepts motivated by pseudospectra. Using this technique, we identify nonlinear structures that have connections to not only the most unstable eigenmode but also subdominant modes that are nonlinearly excited. The general picture that emerges is a system in which signatures of the linear physics persist in the turbulence, albeit in ways that cannot be fully explained by the linear eigenvalue approach; a non-modal treatment is necessary to understand key features of the turbulence.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: FG02-04ER54742

OSTI ID:: 1272650

Alternate ID(s):: OSTI ID: 1272651; OSTI ID: 1326679

Journal Information:: New Journal of Physics, Journal Name: New Journal of Physics Vol. 18 Journal Issue: 7; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United Kingdom

Language:: English

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Title: Linear signatures in nonlinear gyrokinetics: interpreting turbulence with pseudospectra

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