Magnetic islands in a magnetized plasma with electron flow

Vranjes, Jovo

doi:10.1103/physreve.58.931

Cited by 12 publications

(6 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…When μ = 0, we find that is satisfied by the Ansatz where ϕ 0 , C 0 , and A 0 are arbitrary constants. The solution of is We note that for A 0 > 1, the vortex profile resembles the Kelvin‐Stuart “cat's eyes” that are chains of vortices [ Petviashvili and Pokhotelov , 1992; Stenflo , 1994; Shukla et al , 1995; , 1998]. The vortex chain speed is U 0 = ( V a * + μ z u 0 )/2± [( V a * + μ z u 0 ) 2 + 4 C a 2 μ z (α + μ z )] 1/2 /2.…”

Section: Lower Hybrid Drift Vorticesmentioning

confidence: 99%

“…Choosing where ϕ 0 and ϕ c are arbitrary constants, one easily finds that the solution of takes the form [ Mallier and Maslowe , 1993] which represents a street of counterrotating vortices, where ϵ (<1) is a constant. Furthermore, choosing where α 0 , K 0 , and γ 0 are constants, one finds that the solution [, 1998] of with is which is an even (in the x direction) row of identical vortices for γ 0 2 > 1.…”

Section: Lower Hybrid Drift Vorticesmentioning

confidence: 99%

“…where m = m 1 À w ce 2 m z (a + m z )/U 0 2 where a 0 , K 0 , and g 0 are constants, one finds that the solution [Vranjes, 1998] of (50) with (53) is…”

Section: Lower Hybrid Drift Vorticesmentioning

confidence: 99%

See 2 more Smart Citations

Lower hybrid drift wave turbulence and associated electron transport coefficients and coherent structures at the magnetopause boundary layer

Shukła

Mamun

2002

J.‐Geophys.‐Res.

View full text Add to dashboard Cite

[1] It is well known that at the Earth's magnetopause there is much scale size turbulence whose origin is not yet fully understood. Our objective here is to present a detailed investigation of short-wavelength (in comparison with the ion gyroradius) lower hybrid drift (LHD) wave turbulence that is generated by sheared electron flows and ion beams. We employ here a hybrid approach, in which the ions are treated kinetically while the cold electrons are described by means of a fluid model, and derive the linear dispersion relation. The latter is analyzed analytically and numerically for different realistic situations. Introducing the mixing length hypothesis and mode coupling processes, we deduce the saturated wave spectra for nonthermal LHD wave fluctuations. The latter produce the anomalous resistivity and cross-field particle diffusion in a nonuniform magnetoplasma. It is shown that the nonlinear equations governing the dynamics of weakly interacting LHD waves admit stationary solutions in the form of vortices which can also trap particles and transport them to large distances. The present study is relevant for understanding the properties of nonthermal fluctuations and associated transport processes and coherent vortex structures at the magnetopause current layer.INDEX TERMS: 7863 Space Plasma Physics: Turbulence; 7871 Space Plasma Physics: Waves and instabilities; 7859 Space Plasma Physics: Transport processes; 7867 Space Plasma Physics: Wave/particle interactions; 7868 Space Plasma Physics: Wave/wave interactions; KEYWORDS: Lower hybrid drift waves, turbulence, magnetopause, boundary layer Citation: Shukla, P. K., and A. A. Mamun, Lower hybrid drift wave turbulence and associated electron transport coefficients and coherent structures at the magnetopause boundary layer,

show abstract

Section: Lower Hybrid Drift Vorticesmentioning

confidence: 99%

Section: Lower Hybrid Drift Vorticesmentioning

confidence: 99%

See 1 more Smart Citation

Lower hybrid drift wave turbulence and associated electron transport coefficients and coherent structures at the magnetopause boundary layer

Shukła

Mamun

2002

J.‐Geophys.‐Res.

View full text Add to dashboard Cite

show abstract

“…In the spatial regions where the streamlines are closed the function G in principle may have di †erent forms, and besides of the boundary conditions at inÐnity it would be necessary to Ðnd the appropriate form of the function in these regions and match solutions at separatrices but this would be a difficult task. Consequently, we shall assume that the corresponding asymptotic expression of the above function is valid on the whole (x, y) plane [9].…”

Section: Basic Equations Derivations and Solutionsmentioning

confidence: 99%

“…where the function g is arbitrary, and following the procedure from our Ref. [9] we take it in the form :…”

Section: Basic Equations Derivations and Solutionsmentioning

confidence: 99%

Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Vranjes

1999

Phys. Scr.

View full text Add to dashboard Cite

A method for designing minimum-phase or minimum-delay filters with an arbitrary complex transfer function inside a finite frequency interval is proposed. The method is based on a result of Krein and Nudel'man (Krein M G and Nudel'man P Ya 1975 Probl. Pereda. Inf. 11 37-60). The filters are divided into two classes, depending on their asymptotic behaviour for high frequencies.For filters with asymptotic value different from zero, a straightforward and completely general synthesis method is proposed, yielding good numerical results. A similar method is shown to be suitable for a limited class of filters whose responses are required to approach zero in a certain sense.

show abstract

Nonlinear drift chains associated with sheared flow of magnetized plasma with magnetic shear

Vranjes

1998

Czech J Phys

Self Cite

View full text Add to dashboard Cite

Equations describing nonlinear drift waves in a strongly inhomogeneous plasma, with a sheared flow profile perpendicular to the sheared magnetic field, are derived. In such configurations, the diamagnetic drift velocity is a spatially dependent function, and in the linear domain, the magnetic shear stabilisation criteria are substantially changed. In the nonlinear regime, possible analytical and numerical vortex chain solutions, periodic along the plasma flow and localised in the perpendicular direction, are found.

show abstract

Magnetic islands in a magnetized plasma with electron flow

Cited by 12 publications

References 20 publications

Lower hybrid drift wave turbulence and associated electron transport coefficients and coherent structures at the magnetopause boundary layer

Lower hybrid drift wave turbulence and associated electron transport coefficients and coherent structures at the magnetopause boundary layer

Coherent Structures in Sheared Flow of Magnetized Plasma with Magnetic Shear

Nonlinear drift chains associated with sheared flow of magnetized plasma with magnetic shear

Contact Info

Product

Resources

About