Hamiltonian Description of Convective-cell Generation

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Description

The nonlinear statistical growth rate eq for convective cells driven by drift-wave (DW) interactions is studied with the aid of a covariant Hamiltonian formalism for the gyrofluid nonlinearities. A statistical energy theorem is proven that relates eq to a second functional tensor derivative of the DW energy. This generalizes to a wide class of systems of coupled partial differential equations a previous result for scalar dynamics. Applications to (i) electrostatic ion-temperature-gradient-driven modes at small ion temperature, and (ii) weakly electromagnetic collisional DW's are noted.

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832 Kilobytes pages

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Krommes, J. A. & Kolesnikov, R. A. March 11, 2004.

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Description

The nonlinear statistical growth rate eq for convective cells driven by drift-wave (DW) interactions is studied with the aid of a covariant Hamiltonian formalism for the gyrofluid nonlinearities. A statistical energy theorem is proven that relates eq to a second functional tensor derivative of the DW energy. This generalizes to a wide class of systems of coupled partial differential equations a previous result for scalar dynamics. Applications to (i) electrostatic ion-temperature-gradient-driven modes at small ion temperature, and (ii) weakly electromagnetic collisional DW's are noted.

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832 Kilobytes pages

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INIS; OSTI as DE00827672

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  • Other Information: PBD: 11 Mar 2004

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  • Report No.: PPPL-3927
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/827672 | External Link
  • Office of Scientific & Technical Information Report Number: 827672
  • Archival Resource Key: ark:/67531/metadc780337

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  • March 11, 2004

Added to The UNT Digital Library

  • Dec. 3, 2015, 9:30 a.m.

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  • April 18, 2016, 1:53 p.m.

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Krommes, J. A. & Kolesnikov, R. A. Hamiltonian Description of Convective-cell Generation, report, March 11, 2004; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc780337/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.