Non-linear analysis of the stability of the screw pinch

Details Non-linear analysis of the stability of the screw pinch Non-linear analysis of the stability of the screw pinch

Aug 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..86...71s&link_type=abstract

Astrophysics and Space Science, vol. 86, no. 1, Aug. 1982, p. 71-89.

Computer Science

Numerical Analysis

1

Incompressible Fluids, Magnetic Field Configurations, Magnetohydrodynamic Stability, Screw Pinch, Linear Equations, Nonlinear Equations, Nonlinearity, Numerical Analysis, Plasma Physics, Schroedinger Equation, Temporal Distribution, Theta Pinch, Zeta Pinch

Scientific paper

A theoretical investigation is presented of nonlinear effects on the stability of a screw pinch in a cylindrical system surrounded by a uniform pitch magnetic field in an incompressible pressureless plasma. Normal mode analysis is used to obtain a linear dispersion equation governing the interface stability, and a perturbation technique is used to obtain the nonlinear Schroedinger equation for the time variation of amplitude. Calculations are made for m equals 1 kink modes in a sharp-boundary plasma pinch, and a nonlinear analysis for the theta pinch and the z-pinch is also discussed.

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