Nonlinear {omega}*-stabilization of the m = 1 mode in tokamaks

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Earlier studies of sawtooth oscillations in Tokamak Fusion Test Reactor supershots (Levinton et al, Phys. Rev. Lett. 72, 2895 (1994); Zakharov, et al, Plasma Phys. and Contr. Nucl. Fus. Res., Proc. 15th Int. Conf., Seville 1994, Vienna) have found an apparent contradiction between conventional linear theory and experiment: even in sawtooth-free discharges, the theory typically predicts instability due to a nearly ideal m = 1 mode. Here, the nonlinear evolution of such mode is analyzed using numerical simulations of a two-fluid magnetohydrodynamic (MHD) model. We find the mode saturates nonlinearly at a small amplitude provided the ion and electron drift-frequencies ... continued below

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30 p.

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Rogers, B. & Zakharov, L. August 1995.

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  • Rogers, B. Univ. of Maryland, College Park, MD (United States). Inst. for Plasma Research
  • Zakharov, L. Princeton Univ., NJ (United States). Plasma Physics Lab.

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Earlier studies of sawtooth oscillations in Tokamak Fusion Test Reactor supershots (Levinton et al, Phys. Rev. Lett. 72, 2895 (1994); Zakharov, et al, Plasma Phys. and Contr. Nucl. Fus. Res., Proc. 15th Int. Conf., Seville 1994, Vienna) have found an apparent contradiction between conventional linear theory and experiment: even in sawtooth-free discharges, the theory typically predicts instability due to a nearly ideal m = 1 mode. Here, the nonlinear evolution of such mode is analyzed using numerical simulations of a two-fluid magnetohydrodynamic (MHD) model. We find the mode saturates nonlinearly at a small amplitude provided the ion and electron drift-frequencies {omega}*{sub i,e} are somewhat above the linear stability threshold of the collisionless m = 1 reconnecting mode. The comparison of the simulation results to m = 1 mode activity in TFTR suggests additional, stabilizing effects outside the present model are also important.

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30 p.

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INIS; OSTI as DE95017398

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  • Other Information: PBD: Aug 1995

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  • Other: DE95017398
  • Report No.: PPPL--3125
  • Grant Number: AC02-76CH03073
  • DOI: 10.2172/100284 | External Link
  • Office of Scientific & Technical Information Report Number: 100284
  • Archival Resource Key: ark:/67531/metadc624776

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  • August 1995

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  • June 16, 2015, 7:43 a.m.

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  • April 15, 2016, 6:48 p.m.

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Rogers, B. & Zakharov, L. Nonlinear {omega}*-stabilization of the m = 1 mode in tokamaks, report, August 1995; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc624776/: accessed September 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.