Integral formulation for the two-dimensional spatial structure of drift and trapped-electron modes

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Previous calculations of the linear growth rate and two-dimensional spatial structure of trapped-electron modes are made more general and more accurate in several ways. First, an integral equation formulation of the eigenmode problem allows arbitrary values of k/sub r/rho/sub i/ (where k/sub r/ is the radial wavenumber and rho/sub i/ is the ion gyroradius) to be treated. Second, the ion response is generalized so that arbitrary ratios of the ion magnetic drift frequency to the mode frequency are allowed. Finally, the electron and ion collision operators have been improved to allow consideration of the plateau and Pfirsch-Schluter regimes in addition ... continued below

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Pages: 83

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Rewoldt, G.; Tang, W.M. & Frieman, E.A. October 1, 1977.

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Previous calculations of the linear growth rate and two-dimensional spatial structure of trapped-electron modes are made more general and more accurate in several ways. First, an integral equation formulation of the eigenmode problem allows arbitrary values of k/sub r/rho/sub i/ (where k/sub r/ is the radial wavenumber and rho/sub i/ is the ion gyroradius) to be treated. Second, the ion response is generalized so that arbitrary ratios of the ion magnetic drift frequency to the mode frequency are allowed. Finally, the electron and ion collision operators have been improved to allow consideration of the plateau and Pfirsch-Schluter regimes in addition to the usual banana regime. It is therefore possible to follow the transition in toroidal geometry from the trapped-electron mode to the collisionless and collisional drift modes. The method used involves expansion of the perturbed electrostatic potential in complete sets of radial and poloidal basis functions to convert the quasineutrality integral equation into a matrix equation.

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Pages: 83

Notes

Dep. NTIS, PC A05/MF A01.

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  • Report No.: PPPL-1387
  • Grant Number: EY-76-C-02-3073
  • DOI: 10.2172/5367023 | External Link
  • Office of Scientific & Technical Information Report Number: 5367023
  • Archival Resource Key: ark:/67531/metadc1066825

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Creation Date

  • October 1, 1977

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

Description Last Updated

  • May 11, 2018, 6:35 p.m.

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Rewoldt, G.; Tang, W.M. & Frieman, E.A. Integral formulation for the two-dimensional spatial structure of drift and trapped-electron modes, report, October 1, 1977; New Jersey. (digital.library.unt.edu/ark:/67531/metadc1066825/: accessed October 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.