On the modulational stability of magnetic structures in electron drift turbulence

Jucker, Martin; Павленко, В. Б.

doi:10.1063/1.2798050

Cited by 3 publications

(3 citation statements)

References 29 publications

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“…These nonlinearities are responsible for the formation of coherent magnetic structures in the form of a dipolar vortex [10,11] and a vortex street [12]. Recently, there has been a renewed interest in the study of MEDV mode turbulence [12,13]. Specifically, Jucker and Pavlenko [12] and Andrushchenko et al [13] have presented analytical studies of the generation of large-scale magnetic fields (magnetic streamers) via the modulational instability of coherent and partially incoherent MEDV modes.…”

Section: Introductionmentioning

confidence: 99%

“…It turns out that the nonlinear mode coupling equations contain the intrinsic Jacobean nonlinearities arising from the advection of the electron fluid velocity and electron temperature perturbations, as well as the nonlinear Lorentz force. These nonlinearities are responsible for the formation of coherent magnetic structures in the form of a dipolar vortex [10,11] and a vortex street [12]. Recently, there has been a renewed interest in the study of MEDV mode turbulence [12,13].…”

Section: Introductionmentioning

confidence: 99%

“…Recently, there has been a renewed interest in the study of MEDV mode turbulence [12,13]. Specifically, Jucker and Pavlenko [12] and Andrushchenko et al [13] have presented analytical studies of the generation of large-scale magnetic fields (magnetic streamers) via the modulational instability of coherent and partially incoherent MEDV modes. The use of a quasi-linear theory also reveals the shearing of micro-turbulence by the electron flows and the corresponding electron diffusion in the presence of zonal magnetic fields and magnetic streamers [13].…”

Section: Introductionmentioning

confidence: 99%

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Simulations of two-dimensional magnetic electron drift vortex mode turbulence in plasmas

Shaikh¹,

Shukła²

2009

J. Plasma Phys.

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Abstract. Simulations are performed to investigate turbulent properties of nonlinearly interacting two-dimensional (2D) magnetic electron drift vortex (MEDV) modes in a nonuniform unmagnetized plasma. The relevant nonlinear equations governing the dynamics of the MEDV modes are the wave magnetic field and electron temperature perturbations in the presence of the equilibrium density and temperature gradients. The important nonlinearities come from the advection of the electron fluid velocity perturbation and the electron temperature, as well as from the nonlinear electron Lorentz force. Computer simulations of the governing equations for the nonlinear MEDV modes reveal the generation of streamer-like electron flows, such that the corresponding gradients in the direction of the inhomogeneities tend to flatten out. By contrast, the gradients in an orthogonal direction vary rapidly. Consequently, the inertial range energy spectrum in decaying MEDV mode turbulence exhibits a much steeper anisotropic spectral index. The magnetic structures in the MEDV mode turbulence produce nonthermal electron transport in our nonuniform plasma.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Simulations of two-dimensional magnetic electron drift vortex mode turbulence in plasmas

Shaikh¹,

Shukła²

2009

J. Plasma Phys.

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Dynamics of nonlinearly interacting magnetic electron drift vortex modes in a nonuniform plasma

2009

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A simulation study of dynamical evolution of nonlinearly interacting two-dimensional magnetic electron drift vortex (MEDV) modes in a nonuniform plasma is presented. Depending on the equilibrium density and temperature gradients, the system can either be stable or unstable. The unstable system reveals spontaneous generation of magnetic fields from noise level, and large-scale magnetic field structures are formed. When the system is linearly stable, one encounters MEDV mode turbulence in which there is a competition between zonons (zonal flows) and streamers. For large MEDV mode amplitudes, one encounters the formation of localized and small-scale magnetic vortices and vortex pairs with scale sizes of the order of the electron skin depth. The MEDV turbulence exhibits nonuniversal (non-Kolmogorov-type) spectra for different sets of plasma parameters. The relevance of this work to laboratory and cosmic plasmas is briefly mentioned

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Numerical study of the magnetic electron drift vortex mode turbulence in a nonuniform magnetoplasma

Shaikh

Eliasson²,

Shukła

2009

Phys. Rev. E

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A simulation study of the magnetic electron drift vortex (MEDV) mode turbulence in a magnetoplasma in the presence of inhomogeneities in the plasma temperature and density, as well as in the external magnetic field, is presented. The study shows that the influence of the magnetic field inhomogeneity is to suppress streamer-like structures observed in previous simulation studies without background magnetic fields. The MEDV mode turbulence exhibits non-universal (non-Kolmogorov type) spectra for different sets of the plasma parameters. In the presence of an inhomogeneous magnetic field, the spectrum changes to a 7/3 power law, which is flatter than without magnetic field gradients. The relevance of this work to laser-produced plasmas in the laboratory is briefly mentioned.

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On the modulational stability of magnetic structures in electron drift turbulence

Cited by 3 publications

References 29 publications

Simulations of two-dimensional magnetic electron drift vortex mode turbulence in plasmas

Simulations of two-dimensional magnetic electron drift vortex mode turbulence in plasmas

Dynamics of nonlinearly interacting magnetic electron drift vortex modes in a nonuniform plasma

Numerical study of the magnetic electron drift vortex mode turbulence in a nonuniform magnetoplasma

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