High-n collisionless ballooning modes in axisymmetric toroidal plasmas

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A collisionless kinetic ballooning mode equation, which includes the full ion finite Larmor radius (FLR), the magnetic drift, and the trapped electron effects is derived and investigated for a large aspect ratio circular flux surface equilibrium in the frequency regime, ..omega../sub bi/, ..omega../sub ti/ < ..omega.. < ..omega../sub be/, ..omega../sub te/. The finite Larmor radius effects can reduce the growth rate, but do not stabilize the ballooning modes due to the destabilizing influence of the ion magnetic drift reonances. It is, in general, incorrect to simulate the FLR effects by employing the often used FLR modified MHD model for (k/sub … continued below

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39 pages

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Cheng, C. Z. October 1, 1981.

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Description

A collisionless kinetic ballooning mode equation, which includes the full ion finite Larmor radius (FLR), the magnetic drift, and the trapped electron effects is derived and investigated for a large aspect ratio circular flux surface equilibrium in the frequency regime, ..omega../sub bi/, ..omega../sub ti/ < ..omega.. < ..omega../sub be/, ..omega../sub te/. The finite Larmor radius effects can reduce the growth rate, but do not stabilize the ballooning modes due to the destabilizing influence of the ion magnetic drift reonances. It is, in general, incorrect to simulate the FLR effects by employing the often used FLR modified MHD model for (k/sub theta/rho/sub i/)/sup 2/approx. greater than or equal to 0.1 and epsilon/sub n/ approx. greater than or equal to 0.1, where k/sub theta/rho/sub i/ is the ion FLR parameter and epsilon/sub n/ = L/sub n//R measures the magnetic drift frequency. The trapped electrons have a stabilizing effect due to the reduction of the destabilizing circulating electron parallel current perturbation. For typical tokamak aspect ratio, the critical ..beta.. can be improved by 40%.

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39 pages

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NTIS, PC A03/MF A01.

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Office of Scientific & Technical Information Technical Reports

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  • October 1, 1981

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  • Feb. 18, 2018, 3:59 p.m.

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  • Sept. 9, 2021, 11:57 a.m.

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Cheng, C. Z. High-n collisionless ballooning modes in axisymmetric toroidal plasmas, report, October 1, 1981; New Jersey. (https://digital.library.unt.edu/ark:/67531/metadc1097870/: accessed December 11, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; crediting UNT Libraries Government Documents Department.

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