Ion-temperature-gradient instability in toroidal plasmas

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The stability of the ion-temperature-gradient mode in a toroidal plasma is investigated. Using the ballooning-mode formalism, an ordinary difference-differential equation is derived which includes full kinetic effects. The equation is, then, examined in various limits where it reduces to an ordinary differential equation. Analytic and computational studies show that, for eta/sub i/ identical with d lnT/sub i//d lnn > 1, toroidal effects further destabilize the mode and, hence, the corresponding growth rates exceed those obtained from the slab calculations. However, it is also found that toroidal effects give rise to higher eta/sub i/ threshold compared to the slab case. Extensive ... continued below

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Pages: 43

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Guzdar, P.N.; Chen, L.; Tang, W.M. & Rutherford, P.H. March 1, 1980.

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Description

The stability of the ion-temperature-gradient mode in a toroidal plasma is investigated. Using the ballooning-mode formalism, an ordinary difference-differential equation is derived which includes full kinetic effects. The equation is, then, examined in various limits where it reduces to an ordinary differential equation. Analytic and computational studies show that, for eta/sub i/ identical with d lnT/sub i//d lnn > 1, toroidal effects further destabilize the mode and, hence, the corresponding growth rates exceed those obtained from the slab calculations. However, it is also found that toroidal effects give rise to higher eta/sub i/ threshold compared to the slab case. Extensive numerical calculations over a wide range of parameters are carried out to delineate the regions of instability. It is concluded that the eta/sub i/ instability is of relevance to present-day beam heated tokamaks.

Physical Description

Pages: 43

Notes

Dep. NTIS, PC A03/MF A01.

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  • Report No.: PPPL-1601
  • Grant Number: EY-76-C-02-3073
  • DOI: 10.2172/5404094 | External Link
  • Office of Scientific & Technical Information Report Number: 5404094
  • Archival Resource Key: ark:/67531/metadc1067659

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  • March 1, 1980

Added to The UNT Digital Library

  • Feb. 4, 2018, 10:51 a.m.

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  • March 23, 2018, 6:48 p.m.

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Guzdar, P.N.; Chen, L.; Tang, W.M. & Rutherford, P.H. Ion-temperature-gradient instability in toroidal plasmas, report, March 1, 1980; United States. (digital.library.unt.edu/ark:/67531/metadc1067659/: accessed April 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.