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Friedman B, Carter TA. Linear technique to understand non-normal turbulence applied to a magnetized plasma. Phys Rev Lett. 2014;113(2):025003doi: 10.1103/PhysRevLett.113.025003.
Friedman, B., & Carter, T. A. (2014). Linear technique to understand non-normal turbulence applied to a magnetized plasma. Physical review letters, 113(2), 025003. https://doi.org/10.1103/PhysRevLett.113.025003
Friedman, B, and Carter, T A. "Linear technique to understand non-normal turbulence applied to a magnetized plasma." Physical review letters vol. 113,2 (2014): 025003. doi: https://doi.org/10.1103/PhysRevLett.113.025003
Friedman B, Carter TA. Linear technique to understand non-normal turbulence applied to a magnetized plasma. Phys Rev Lett. 2014 Jul 11;113(2):025003. doi: 10.1103/PhysRevLett.113.025003. Epub 2014 Jul 09. PMID: 25062197.
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Phys Rev Lett. 2014 Jul 11;113(2):025003. doi: 10.1103/PhysRevLett.113.025003. Epub 2014 Jul 09.

Linear technique to understand non-normal turbulence applied to a magnetized plasma.

Physical review letters

B Friedman, T A Carter

Affiliations

  1. Department of Physics and Astronomy, University of California, Los Angeles, California 90095-1547, USA.

PMID: 25062197 DOI: 10.1103/PhysRevLett.113.025003

Abstract

In nonlinear dynamical systems with highly nonorthogonal linear eigenvectors, linear nonmodal analysis is more useful than normal mode analysis in predicting turbulent properties. However, the nontrivial time evolution of nonmodal structures makes quantitative understanding and prediction difficult. We present a technique to overcome this difficulty by modeling the effect that the advective nonlinearities have on spatial turbulent structures. The nonlinearities are taken as a periodic randomizing force with time scale consistent with critical balance arguments. We apply this technique to a model of drift wave turbulence in the Large Plasma Device [W. Gekelman et al., Rev. Sci. Instrum. 62, 2875 (1991)], where nonmodal effects dominate the turbulence. We compare the resulting growth rate spectra to the spectra obtained from a nonlinear simulation, showing good qualitative agreement, especially in comparison to the eigenmode growth rate spectra.

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