Necessary and sufficient condition for hydromagnetic stability of the Bennett pinch

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Author(s)

Abstract

Newcomb's method for obtaining the necessary and sufficient condition for hydromagnetic stability is applied to the linear Bennett pinch of length 2πR. For the kink mode, the obtained necessary and sufficient condition for stability is β_z<__-F(R/r_0)(r_0/R)^2, where β_z and r_0 are the toroidal β and the mean radius of the pinch, respectively. The function F(R/r_0) is positive definite and increases monotonically from F(0)=0 to F(∞)=1.0. It varies slowly for large R/r_0, i.e., it is larger than 0.9 if R/r_0>3.0. For the sausage mode, the necessary and sufficient condition for stability is β_z<__-3.80. The Bennett pinch is hydromagnetically stable if both conditions are fulfilled. Tokamak T-3 fulfills these necessary and sufficient conditions.

Journal

  • Journal of the Physical Society of Japan

    Journal of the Physical Society of Japan 33(5), 1442-1447, 1972-11

    The Physical Society of Japan (JPS)

Codes

  • NII Article ID (NAID)
    110001962019
  • NII NACSIS-CAT ID (NCID)
    AA00704814
  • Text Lang
    ENG
  • ISSN
    00319015
  • NDL Article ID
    7668774
  • NDL Source Classification
    ZM35(科学技術--物理学)
  • NDL Call No.
    Z53-A404
  • Data Source
    NDL  NII-ELS 
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