Turbulence Spreading into Linearly Stable Zone and Transport Scaling

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We study the simplest problem of turbulence spreading corresponding to the spatio-temporal propagation of a patch of turbulence from a region where it is locally excited to a region of weaker excitation, or even local damping. A single model equation for the local turbulence intensity I(x, t) includes the effects of local linear growth and damping, spatially local nonlinear coupling to dissipation and spatial scattering of turbulence energy induced by nonlinear coupling. In the absence of dissipation, the front propagation into the linearly stable zone occurs with the property of rapid progression at small t, followed by slower subdiffusive progression ... continued below

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776 Kilobytes pages

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Hahm, T.S.; Diamond, P.H.; Lin, Z.; Itoh, K. & Itoh, S.-I. October 20, 2003.

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Description

We study the simplest problem of turbulence spreading corresponding to the spatio-temporal propagation of a patch of turbulence from a region where it is locally excited to a region of weaker excitation, or even local damping. A single model equation for the local turbulence intensity I(x, t) includes the effects of local linear growth and damping, spatially local nonlinear coupling to dissipation and spatial scattering of turbulence energy induced by nonlinear coupling. In the absence of dissipation, the front propagation into the linearly stable zone occurs with the property of rapid progression at small t, followed by slower subdiffusive progression at late times. The turbulence radial spreading into the linearly stable zone reduces the turbulent intensity in the linearly unstable zone, and introduces an additional dependence on the rho* is always equal to rho i/a to the turbulent intensity and the transport scaling. These are in broad, semi-quantitative agreements with a number of global gyrokinetic simulation results with zonal flows and without zonal flows. The front propagation stops when the radial flux of fluctuation energy from the linearly unstable region is balanced by local dissipation in the linearly stable region.

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776 Kilobytes pages

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INIS; OSTI as DE00820109

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  • Other Information: PBD: 20 Oct 2003

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  • Report No.: PPPL-3887
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/820109 | External Link
  • Office of Scientific & Technical Information Report Number: 820109
  • Archival Resource Key: ark:/67531/metadc740443

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  • October 20, 2003

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  • Oct. 18, 2015, 6:40 p.m.

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  • April 18, 2016, 1:10 p.m.

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Hahm, T.S.; Diamond, P.H.; Lin, Z.; Itoh, K. & Itoh, S.-I. Turbulence Spreading into Linearly Stable Zone and Transport Scaling, report, October 20, 2003; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc740443/: accessed December 14, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.