1976•Unpublished venueOpen access

Nonlinear growth of the M = 1 tearing mode

B. V. Waddell, M. N. Rosenbluth, Donald A. Monticello, Roscoe B. White

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Abstract

Numerical results are presented for the nonlinear evolution of the tearing mode with poloidal mode number one. Nonlinearly, the mode continues to grow exponentially at approximately the linear growth rate until it flattens the toroidal current inside the singular surface and increases the safety factor to unity at the plasma center. The hypothesis that the mode causes the internal disruption in tokamaks is supported by the fact that the time scale for the process agrees with experiment.

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Numerical results are presented for the nonlinear evolution of the tearing mode with poloidal mode number one. Nonlinearly, the mode continues to grow exponentially at approximately the linear growth rate until it flattens the toroidal current inside the singular surface and increases the safety factor to unity at the plasma center. The hypothesis that the mode causes the internal disruption in tokamaks is supported by the fact that the time scale for the process agrees with experiment.

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Available abstract

Numerical results are presented for the nonlinear evolution of the tearing mode with poloidal mode number one. Nonlinearly, the mode continues to grow exponentially at approximately the linear growth rate until it flattens the toroidal current inside the singular surface and increases the safety factor to unity at the plasma center. The hypothesis that the mode causes the internal disruption in tokamaks is supported by the fact that the time scale for the process agrees with experiment.

Key concepts: Tearing, Tokamak, Toroid, Nonlinear system, Mode (computer interface), Safety factor, Physics, Plasma

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