[其它]91 LINEAR ANALYSIS AND 3D HYBRID SIMULATION STUDY OF Z-PINCH INSTABILITIES IN THE PRESENCE

LINEAR ANALYSIS AND 3D HYBRID SIMULATION STUDY OF Z-PINCH INSTABILITIES IN THE PRESENCE OF NON - IDEAL MHD EFFECTS* X$/E>I  
V. I. Sotnikov, L. Wanex, B. S. Bauer, I. Paraschiv avlqDi1l  
UNR, Reno, NV 89557 USA s4(Wp3>3i  
J. N. Leboeuf V {p*z  
UCLA, Los Angleles, CA 90095 USA !?jK1{E3  
P. Hellinger, P. Travnicek and V. Fiala neF8V"-u&  
UFA, Prague 4, Czech Republic PmHd9^C  
Abstract (FuEd11R  
The development of z-pinch instabilities in the >gr<^$
 
presence of the Hall term, finite Larmor radius effects /K f L+"^|  
(FLR), and axial magnetic field is being investigated. iBucT"d]  
The linear stage of instability development is studied with Tj=gRQ2v  
linearized magnetohydrodynamic (MHD) equations UL&} s_  
based on the Hall fluid model. Results for linear growth 5`"iq "5Cf  
rates as a function of axial sheared flow, axial magnetic +6 ho)YL  
field, and the Hall term,with an emphasis on the sausage U<Vy>gIC  
and kink instabilities, are reported. X1Qr_o-BR  
We also present simulations performed with the 3D ThtMRB)9  
version of the hybrid code based on the CAM-CL 4iwf\#  
algorithm [1]. These simulations serve the dual purpose v{r1E]rY  
of comparing with the linear Hall MHD analysis and of iecWa:('  
investigating the nonlinear stage of instability )`^ /(YG  
development with a kinetic model. The overall aim is to +@e }mL\8  
characterize the combined influence of sheared axial >zQNHSi  
flow, the Hall term, axial magnetic field, and finite >E,Q  
Larmor radius (FLR) effects on the development of 2SYKe$e  
sausage and kink modes. 1t.R+1[c  
Calculations have been carried out in several regimes Wj&nUp{  
with respect to the Hall parameter ε = c/ωpir0 (c is the Y,'%7u  
speed of light, ωpi is the ion plasma frequency and r0 is F'1k<V?  
the plasma radius), with and without axial magnetic field. sJOV2#r  
The axial magnetic field used in the calculations has been 8yn4}`Nc@  
varied from B0z = 0 to B0z = 0.5, where the amplitude of &Y+e=1a+  
the axial magnetic field is measured relative to the =LOk
13l\"  
azimuthal magnetic field created by the axial current in \Dfm(R  
the z-pinch. \6{LR&  
We have also initiated 3D hybrid simulations to study !:3^ hb  
the time development of density and magnetic field NddO*`8+)  
profiles produced in the process of long pulse Z-pinch "v5ElYG  
implosions in Saturn [2]. The 3D hybrid code allows for ^+wk  
multiple ion species with multiple charges. This code also 8&%Cy'TIz4  
contains term with finite resistivity in the magnetic field Y~}5axSPH  
equation. We can thus model realistic wire array loads u\f3qc,]F  
with wires composed of different materials, for example K U$`!h  
Al (95%) and Mg (5%), like in Saturn. SnW7x  
nWk e#{[  
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