Nonplanar electron acoustic shock waves in a plasma with electrons featuring Tsallis distribution

Sahu, Biswajit; Tribeche, Mouloud

doi:doi:10.1063/1.3684234

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Nonlinear entropy transfer via zonal flows in gyrokinetic plasma turbulence

Nonlinear entropy transfer processes in toroidal ion temperature gradient (ITG) and electron temperature gradient (ETG) driven turbulence are investigated based on the gyrokinetic entropy balance relations for zonal and non-zonal modes, which are coupled through the entropy transfer function regarded as a kinetic extension of the zonal-flow production due to the Reynolds stress. Spectral analyses of the “triad” entropy transfer function introduced in this study reveal not only the nonlinear int...

Kinetic cascade beyond magnetohydrodynamics of solar wind turbulence in two-dimensional hybrid simulations

The nature of solar wind turbulence in the dissipation range at scales much smaller than the large magnetohydrodynamic (MHD) scales remains under debate. Here, a two-dimensional model based on the hybrid code abbreviated as A.I.K.E.F. is presented, which treats massive ions as particles obeying the kinetic Vlasov equation and massless electrons as a neutralizing fluid. Up to a certain wavenumber in the MHD regime, the numerical system is initialized by assuming a superposition of isotropic Alfv...

The properties of cylindrical and spherical electron acoustic shock waves (EASWs) in an unmagnetized plasma consisting of cold electrons, immobile ions, and hot electrons featuring Tsallis statistics are investigated by employing the reductive perturbation technique. A Korteweg-de Vries Burgers (KdVB) equation is derived and its numerical solution is obtained. The effects of electron nonextensivity and electron kinematic viscosity on the basic features of EA shock waves are discussed in nonplanar geometry. It is found that nonextensive nonplanar EA shock waves behave quite differently from their planar counterpart. Deviations from a pure planar geometry are significant only for times shorter that the inverse of the cold electron plasma frequency. Given that the hot electron dynamics is the most interesting one, and that in many astrophysical scenarios the cold electrons can be significantly rarefied, this restriction is not too limiting for the applicability of our model.

Article Outline

INTRODUCTION
BASIC EQUATIONS AND DERIVATION OF K D VB EQUATIONS IN NONPLANAR GEOMETRY
NUMERICAL RESULTS AND DISCUSSION
CONCLUSION

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KEYWORDS and PACS

Keywords

Korteweg-de Vries equation, plasma ion acoustic waves, plasma shock waves, plasma transport processes, viscosity

PACS

52.35.Tc

Shock waves and discontinuities
52.35.Fp

Electrostatic waves and oscillations (e.g., ion-acoustic waves)
52.25.Fi

Transport properties
02.30.Jr

Partial differential equations

ARTICLE DATA

Digital Object Identifier

http://dx.doi.org/10.1063/1.3684234

PUBLICATION DATA

ISSN

1070-664X (print)

1089-7674 (online)

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$abstract.society.value is a Member of CrossRef

American Institute of Physics

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