Spectral estimates, stability conditions, and the rotating screw‐pinch

Hameiri, Eliezer

doi:doi:10.1063/1.525137

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Propagation in a tropospheric duct with a single‐step discontinuity in the refractive index in the direction of propagation

A Green’s function approach is used to derive an expression for the field inside a laterally inhomogeneous duct. The laterally inhomogeneous duct is assumed to have a single step, and convergence criteria for the step size and number of modes are discussed.

This article presents two sufficient conditions for the linear stability of rotating ideal plasmas, the first based on conservation of circulation and the second based on circle theorems applicable to linear Hamiltonian systems. The circle theorems also provide bounds on eigenmodes in the complex plane. All results are applied to the rotating screw‐pinch which can be described by a single second‐order ordinary differential equation.

KEYWORDS and PACS

Keywords

PLASMA, ROTATION, PLASMA INSTABILITY, CONSERVATION LAWS, HAMILTONIANS, USES, PINCH DEVICES, DIFFERENTIAL EQUATIONS

PACS

52.35.Py

Macroinstabilities (hydromagnetic, e.g., kink, fire-hose, mirror, ballooning, tearing, trapped-particle, flute, Rayleigh-Taylor, etc.)
52.30.-q

Plasma dynamics and flow
52.55.Ez

Theta pinch
02.30.Hq

Ordinary differential equations