Nonlinear theory of collisionless trapped ion modes

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A simplified two field nonlinear model for collisionless trapped-ion-mode turbulence has been derived from nonlinear bounce-averaged drift kinetic equations. The renormalized thermal diffusivity obtained from this analysis exhibits a Bohm-like scaling. A new nonlinearity associated with the neoclassical polarization density is found to introduce an isotope-dependent modification to this Bohm-like diffusivity. The asymptotic balance between the equilibrium variation and the finite banana width induced reduction of the fluctuation potential leads to the result that the radial correlation length decreases with increasing plasma current. Other important conclusions from the present analysis include the predictions that (i) the relative density fluctuation level ... continued below

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16 p.

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Hahm, T.S. & Tang, W.M. March 1, 1996.

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Description

A simplified two field nonlinear model for collisionless trapped-ion-mode turbulence has been derived from nonlinear bounce-averaged drift kinetic equations. The renormalized thermal diffusivity obtained from this analysis exhibits a Bohm-like scaling. A new nonlinearity associated with the neoclassical polarization density is found to introduce an isotope-dependent modification to this Bohm-like diffusivity. The asymptotic balance between the equilibrium variation and the finite banana width induced reduction of the fluctuation potential leads to the result that the radial correlation length decreases with increasing plasma current. Other important conclusions from the present analysis include the predictions that (i) the relative density fluctuation level {delta}n/n{sub 0} is lower than the conventional mixing length estimate, {Delta}r/L{sub n} (ii) the ion temperature fluctuation level {delta}T{sub i}/T{sub i} significantly exceeds the density fluctuation level {delta}n/n{sub 0}; and (iii) the parallel ion velocity fluctuation level {delta}v{sub i}{sub {parallel}}/v{sub Ti} is expected to be negligible.

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16 p.

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INIS; OSTI as DE96007064

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  • Other Information: PBD: [1996]

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  • Other: DE96007064
  • Report No.: PPPL--3143
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/206969 | External Link
  • Office of Scientific & Technical Information Report Number: 206969
  • Archival Resource Key: ark:/67531/metadc664569

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  • March 1, 1996

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  • June 29, 2015, 9:42 p.m.

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  • April 15, 2016, 6:48 p.m.

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Hahm, T.S. & Tang, W.M. Nonlinear theory of collisionless trapped ion modes, report, March 1, 1996; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc664569/: accessed December 10, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.