Commun. Comput. Phys.,
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Volume 4.

Investigation of Compressible Electromagnetic Flute Mode Instability in Finite Beta Plasma in Support of Z-pinch and Laboratory Astrophysics Experiments

V. I. Sotnikov 1*, V. V. Ivanov 1, R. Presura 1, J. N. Leboeuf 2, O. G. Onishchenko 3, B. V. Oliver 4, B. Jones 4, T. A. Mehlhorn 4, C. Deeney 5

1 University of Nevada at Reno, NV 89523, USA.
2 JNL Scientific, Casa Grande, AZ 85222, USA.
3 Institute of Physics of Earth, 123995 Moscow, Russia.
4 Sandia National Laboratories, NM 87123, USA.
5 Department of Energy, Washington, DC 20585, USA.

Received 7 November 2007; Accepted (in revised version) 12 March 2008
Available online 17 April 2008


Flute mode turbulence plays an important role in numerous applications, such as tokamak, Z-pinch, space and astrophysical plasmas. In a low beta plasma flute oscillations are electrostatic and in the nonlinear stage they produce large scale density structures co-mingling with short scale oscillations. Large scale structures are responsible for the enhanced transport across the magnetic field and appearance of short scales leads to ion heating, associated with the ion viscosity. In the present paper nonlinear equations which describe the nonlinear evolution of the flute modes treated as compressible electromagnetic oscillations in a finite beta inhomogeneous plasma with nonuniform magnetic field are derived and solved numerically. For this purpose the 2D numerical code FLUTE was developed. Numerical results show that even in a finite beta plasma flute mode instability can develop along with formation of large scale structures co-existing with short scale perturbations in the nonlinear stage.

AMS subject classifications: 70K75, 82D10, 76F35

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Key words: Flute instability, plasma turbulence, nonlinear cascades.

*Corresponding author.
Email: (V. I. Sotnikov), (V. V. Ivanov), (R. Presura), (J. N. Leboeuf), (O. G. Onishchenko), (B. V. Oliver), (B. Jones), (T. A. Mehlhorn), (C. Deeney)

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