Bifurcation Theory of the Transition to Collisionless Ion-temperature-gradient-driven Plasma Turbulence

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The collisionless limit of the transition to ion-temperature-gradient-driven plasma turbulence is considered with a dynamical-systems approach. The importance of systematic analysis for understanding the differences in the bifurcations and dynamics of linearly damped and undamped systems is emphasized. A model with ten degrees of freedom is studied as a concrete example. A four-dimensional center manifold (CM) is analyzed, and fixed points of its dynamics are identified and used to predict a ''Dimits shift'' of the threshold for turbulence due to the excitation of zonal flows. The exact value of that shift in terms of physical parameters is established for the ... continued below

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853 Kb

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Kolesnikov, R.A. & Krommes, J.A. September 22, 2005.

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The collisionless limit of the transition to ion-temperature-gradient-driven plasma turbulence is considered with a dynamical-systems approach. The importance of systematic analysis for understanding the differences in the bifurcations and dynamics of linearly damped and undamped systems is emphasized. A model with ten degrees of freedom is studied as a concrete example. A four-dimensional center manifold (CM) is analyzed, and fixed points of its dynamics are identified and used to predict a ''Dimits shift'' of the threshold for turbulence due to the excitation of zonal flows. The exact value of that shift in terms of physical parameters is established for the model; the effects of higher-order truncations on the dynamics are noted. Multiple-scale analysis of the CM equations is used to discuss possible effects of modulational instability on scenarios for the transition to turbulence in both collisional and collisionless cases.

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853 Kb

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  • Related Information: Published in Physics of Plasmas 12, 122302 (Dec 2005) 25 pp

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  • Report No.: PPPL-4102
  • Grant Number: DE-AC02-76CH03073
  • DOI: 10.1063/1.2116887 | External Link
  • Office of Scientific & Technical Information Report Number: 878299
  • Archival Resource Key: ark:/67531/metadc880293

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  • September 22, 2005

Added to The UNT Digital Library

  • Sept. 21, 2016, 2:29 a.m.

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  • Nov. 18, 2016, 9:59 p.m.

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Kolesnikov, R.A. & Krommes, J.A. Bifurcation Theory of the Transition to Collisionless Ion-temperature-gradient-driven Plasma Turbulence, report, September 22, 2005; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc880293/: accessed October 22, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.