Modeling stretched solitary waves along magnetic field lines

Muschietti, L.; Roth, I.; Carlson, C. W.; Berthomier, M.

doi:10.5194/npg-9-101-2002

Cited by 38 publications

(36 citation statements)

References 13 publications

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“…3(a)-4(b). The large spread in the electric field amplitudes for a fixed magnetic field strength is consistent with the key property of BernsteinGreene-Kruskal (BGK) solitary waves whose widths and potential amplitudes are constrained by inequalities (Chen and Parks, 2002a,b;Muschietti et al, 2002;Chen et al 2004). For a given size of a BGK solitary structure, there is a continuous range of allowed potential amplitudes, and vice versa.…”

Section: Discussionmentioning

confidence: 73%

“…However, no observational studies on how bipolar IES characteristics depend on the local magnetic field strength have been carried out, and there have been no systematic studies on tripolar IES. Most theories of IES provide only analytical solutions for either purely one dimension (Muschietti et al, 1999a,b) or strong magnetic field where the cyclotron radius has been taken as zero (Schamel, 1986;Muschietti et al, 2002;Chen and Parks, 2002a,b;Chen et al, 2004). On the other hand, in three-dimensional unmagnetized plasmas, it has been shown that fully localized solitary wave solutions do not exist if the ambient plasma is isotropic (Chen, 2002).…”

Section: Introductionmentioning

confidence: 99%

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Isolated electrostatic structures observed throughout the Cluster orbit: relationship to magnetic field strength

et al. 2004

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Abstract. Isolated electrostatic structures are observed throughout much of the 4 R E by 19.6 R E Cluster orbit. These structures are observed in the Wideband plasma wave instrument's waveform data as bipolar pulses (one positive and one negative peak in the electric field amplitude) and tripolar pulses (two positive and one negative peak, or vice versa). These structures are observed at all of the boundary layers, in the solar wind and magnetosheath, and along auroral field lines at 4.5-6.5 R E . Using the Wideband waveform data from the various Cluster spacecraft we have carried out a survey of the amplitudes and time durations of these structures and how these quantities vary with the local magnetic field strength. Such a survey has not been carried out before, and it reveals certain characteristics of solitary structures in a finite magnetic field, a topic still inadequately addressed by theories. We find that there is a broad range of electric field amplitudes at any specific magnetic field strength, and there is a general trend for the electric field amplitudes to increase as the strength of the magnetic field increases over a range of 5 to 500 nT. We provide a possible explanation for this trend that relates to the structures being Bernstein-GreeneKruskal mode solitary waves. There is no corresponding dependence of the duration of the structures on the magnetic field strength, although a plot of these two quantities reveals the unexpected result that with the exception of the magnetosheath, all of the time durations for all of the other regions are comparable, whereas the magnetosheath time durations clearly are in a different category of much smaller time duration. We speculate that this implies that the structures are much smaller in size. The distinctly different pulse durations for the magnetosheath pulses indicate the possibility that the pulses are generated by a mechanism which is different from the mechanism operating in other regions.

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Section: Discussionmentioning

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Isolated electrostatic structures observed throughout the Cluster orbit: relationship to magnetic field strength

et al. 2004

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“…They continuously merge with each other and at a later time, only few electron holes are left and they decay by emitting low-frequency electrostatic whistler waves just above the lower hybrid frequency (Singh, 2003). Recently, Muschietti et al (2002) have given a 3-D Bernstein-Greene-Kruskal (BGK) model to explain stretched solitary waves along the magnetic field lines observed in the downward current regions of the auroral zone. A full kinetic theory would be required to explain all features of the observed solitary structures.…”

Section: Discussionmentioning

confidence: 99%

Electron acoustic solitary waves with non-thermal distribution of electrons

Singh

Lakhina

2004

Nonlin. Processes Geophys.

124

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Abstract. Electron-acoustic solitary waves are studied in an unmagnetized plasma consisting of non-thermally distributed electrons, fluid cold electrons and ions. The Sagdeev pseudo-potential technique is used to carry out the analysis. The presence of non-thermal electrons modifies the parametric region where electron acoustic solitons can exist. For parameters representative of auroral zone field lines, the electron acoustic solitons do not exist when either α > 0.225 or T c /T h > 0.142, where α is the fractional non-thermal electron density, and T c (T h ) represents the temperature of cold (hot) electrons. Further, for these parameters, the simple model predicts negatively charged potential structures. Inclusion of an electron beam in the model may provide the positive potential solitary structures.

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“…Usually, electron holes evolve in the interaction of hot and cold electron plasmas; they are known as nonlinear BGK modes (Omura et al, 1996;Muschietti et al, 1999Muschietti et al, , 2002. The property of two electron temperatures populations allows for electron acoustic turbulence which has similar properties as ion acoustic waves.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear electron acoustic structures generated on the high-potential side of a double layer

Pottelette

Berthomier

2009

Nonlin. Processes Geophys.

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Abstract. High-time resolution measurements of the electron distribution function performed in the auroral upward current region reveals a large asymmetry between the lowand high-potential sides of a double-layer. The latter side is characterized by a large enhancement of a locally trapped electron population which corresponds to a significant part (∼up to 30%) of the total electron density. As compared to the background hot electron population, this trapped component has a very cold temperature in the direction parallel to the static magnetic field. Accordingly, the differential drift between the trapped and background hot electron populations generates high frequency electron acoustic waves in a direction quasi-parallel to the magnetic field. The density of the trapped electron population can be deduced from the frequency where the electron acoustic spectrum maximizes. In the auroral midcavity region, the electron acoustic waves may be modulated by an additional turbulence generated in the ion acoustic range thanks to the presence of a pre-accelerated ion beam located on the high-potential side of the double layer. Electron holes characterized by bipolar pulses in the electric field are sometimes detected in correlation with these electron acoustic wave packets.

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Modeling stretched solitary waves along magnetic field lines

Cited by 38 publications

References 13 publications

Isolated electrostatic structures observed throughout the Cluster orbit: relationship to magnetic field strength

Isolated electrostatic structures observed throughout the Cluster orbit: relationship to magnetic field strength

Electron acoustic solitary waves with non-thermal distribution of electrons

Nonlinear electron acoustic structures generated on the high-potential side of a double layer

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