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91 LINEAR ANALYSIS AND 3D HYBRID SIMULATION STUDY OF Z-PINC ..
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91 LINEAR ANALYSIS AND 3D HYBRID SIMULATION STUDY OF Z-PINCH INSTABILITIES IN THE PRESENCE
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发表于: 2008-10-30 13:23:26
LINEAR ANALYSIS AND 3D HYBRID SIMULATION STUDY OF Z-PINCH INSTABILITIES IN THE PRESENCE OF NON - IDEAL MHD EFFECTS*
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V. I. Sotnikov, L. Wanex, B. S. Bauer, I. Paraschiv
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UNR, Reno, NV 89557 USA
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J. N. Leboeuf
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UCLA, Los Angleles, CA 90095 USA
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P. Hellinger, P. Travnicek and V. Fiala
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UFA, Prague 4, Czech Republic
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Abstract
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The development of z-pinch instabilities in the
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presence of the Hall term, finite Larmor radius effects
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(FLR), and axial magnetic field is being investigated.
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The linear stage of instability development is studied with
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linearized magnetohydrodynamic (MHD) equations
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based on the Hall fluid model. Results for linear growth
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rates as a function of axial sheared flow, axial magnetic
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field, and the Hall term,with an emphasis on the sausage
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and kink instabilities, are reported.
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We also present simulations performed with the 3D
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version of the hybrid code based on the CAM-CL
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algorithm [1]. These simulations serve the dual purpose
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of comparing with the linear Hall MHD analysis and of
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investigating the nonlinear stage of instability
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development with a kinetic model. The overall aim is to
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characterize the combined influence of sheared axial
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flow, the Hall term, axial magnetic field, and finite
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Larmor radius (FLR) effects on the development of
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sausage and kink modes.
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Calculations have been carried out in several regimes
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with respect to the Hall parameter ε = c/ωpir0 (c is the
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speed of light, ωpi is the ion plasma frequency and r0 is
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the plasma radius), with and without axial magnetic field.
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The axial magnetic field used in the calculations has been
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varied from B0z = 0 to B0z = 0.5, where the amplitude of
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the axial magnetic field is measured relative to the
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azimuthal magnetic field created by the axial current in
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the z-pinch.
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We have also initiated 3D hybrid simulations to study
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the time development of density and magnetic field
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profiles produced in the process of long pulse Z-pinch
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implosions in Saturn [2]. The 3D hybrid code allows for
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multiple ion species with multiple charges. This code also
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contains term with finite resistivity in the magnetic field
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equation. We can thus model realistic wire array loads
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with wires composed of different materials, for example
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Al (95%) and Mg (5%), like in Saturn.
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[url=http://www.rayfile.com/files/a46912f0-a63c-11dd-994a-0019d11a795f/]http://www.rayfile.com/files/a46 ..
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2008-10-30
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