Some theoretical models for solitary structures of boundary layer waves

Lakhina, G. S.; Tsurutani, B. T.; Singh, S. V.; Reddy, R. V.

doi:10.5194/npg-10-65-2003

Cited by 14 publications

(5 citation statements)

References 54 publications

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“…Various models have been proposed to explain the solitary pulses (for a review, see Lakhina et al [2000, 2003]). Most of the theoretical models fall basically in two categories, namely: (1) the soliton/solitary wave models based on fluid equations [ Temerin et al , 1979; Dubouloz et al , 1991a, 1991b, 1993; Reddy and Lakhina , 1991; Reddy et al , 1992; Berthomier et al , 1998, 2000; Singh et al , 2001a] and (2) the BGK (Bernstein‐Greene‐Kruskal)/phase space holes models which are essentially kinetic in nature and in which trapped particles effects play an important role in sustaining the nonlinear structures [ Muschietti et al , 1999; Krasovsky et al , 1997].…”

Section: Introductionmentioning

confidence: 99%

An explanation for high‐frequency broadband electrostatic noise in the Earth's magnetosphere

Moolla

Bharuthram

Singh³

et al. 2007

J. Geophys. Res.

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[1] A parametric study of high-frequency nonlinear electrostatic oscillations in a magnetized plasma consisting of hot electrons, cool electrons, and cool ions has been conducted. The fluid equations have been used for each species, and the coupled system of differential equations in the rest frame of the propagating wave have been numerically solved to yield the electric field for parameters characteristic of the auroral region. The effect of the initial driving amplitude, cold and hot electron densities, propagation angle, hot electron drift, and cool electron and cool ion temperatures on the electric field structures have been investigated and, in particular, the frequency and the type of electric field structure (sinusoidal, sawtooth, or spiky). The initial driving amplitude as well as the cold and hot electron densities are shown to affect the nature (sinusoidal, sawtooth, or spiky) of the waveforms, with a transition from linear sinusoidal waveforms for low initial driving amplitude, to spiky, nonlinear waveforms for larger values of the initial driving amplitude. In addition, the drifts of the species are shown to play a crucial role in the periods of the waveforms, while the temperatures of the electron species are also shown to vary the periods of the waveforms but not as much as in the case of the drifts of the species. The results show a strong resemblance to satellite observations of the different types of broadband electrostatic noise reported, which are nonlinear, spiky structures of varying amplitude and period.

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Section: Introductionmentioning

confidence: 99%

An explanation for high‐frequency broadband electrostatic noise in the Earth's magnetosphere

Moolla

Bharuthram

Singh³

et al. 2007

J. Geophys. Res.

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“…21. Lakhina et al (2003; have proposed that nonlinear low-frequency waves, consisting of Alfvén and/or proton cyclotron waves, can drive high-frequency electrostatic modes. The electrostatic modes saturate by trapping electrons, thereby leading to the generation of electron holes.…”

Section: Alfvén Waves In the Magnetopause Boundary Layermentioning

confidence: 99%

Nonlinear Alfvén waves, discontinuities, proton perpendicular acceleration, and magnetic holes/decreases in interplanetary space and the magnetosphere: intermediate shocks?

Tsurutani

Lakhina

Pickett

et al. 2005

Nonlin. Processes Geophys.

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Abstract. Alfvén waves, discontinuities, proton perpendicular acceleration and magnetic decreases (MDs) in interplanetary space are shown to be interrelated. Discontinuities are the phase-steepened edges of Alfvén waves. Magnetic decreases are caused by a diamagnetic effect from perpendicularly accelerated (to the magnetic field) protons. The ion acceleration is associated with the dissipation of phasesteepened Alfvén waves, presumably through the Ponderomotive Force. Proton perpendicular heating, through instabilities, lead to the generation of both proton cyclotron waves and mirror mode structures. Electromagnetic and electrostatic electron waves are detected as well. The Alfvén waves are thus found to be both dispersive and dissipative, conditions indicting that they may be intermediate shocks. The resultant "turbulence" created by the Alfvén wave dissipation is quite complex. There are both propagating (waves) and nonpropagating (mirror mode structures and MDs) byproducts. Arguments are presented to indicate that similar processes associated with Alfvén waves are occurring in the magnetosphere. In the magnetosphere, the "turbulence" is even further complicated by the damping of obliquely propagating proton cyclotron waves and the formation of electron holes, a form of solitary waves. Interplanetary Alfvén waves are shown to rapidly phase-steepen at a distance of 1 AU from the Sun. A steepening rate of ∼35 times per wavelength is indicated by Cluster-ACE measurements. Interplanetary (reverse) shock compression of Alfvén waves is noted to cause the rapid formation of MDs on the sunwardCorrespondence to: B. T. Tsurutani (bruce.tsurutani@jpl.nasa.gov) side of corotating interaction regions (CIRs). Although much has been learned about the Alfvén wave phase-steepening processfrom space plasma observations, many facets are still not understood. Several of these topics are discussed for the interested researcher. Computer simulations and theoretical developments will be particularly useful in making further progress in this exciting new area.

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“…Recent observations by the WIND satellite in the Earth's bow shock also reveal localized structures with bipolar electric fields typical for electron BGK modes or holes [14 -17]. The geomagnetic field-aligned bipolar electric field pulses associated with electron phase space holes have also been observed by the Polar and Cluster spacecrafts in the magnetosheath and at the Earth's magnetopause [18][19][20].…”

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Dynamics of Electron Holes in an Electron–Oxygen-Ion Plasma

Eliasson

Shukła

2004

Phys. Rev. Lett.

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The dynamics of electron holes (EHs) in an electron-oxygen-ion plasma is studied by means of Vlasov simulations. It is found that EHs are attracted by ion density maxima but repelled by ion density minima. Standing EHs repel ions owing to the positive EH potential, creating an ion density cavity which ejects the EH, which propagates away from the cavity with a constant speed. On the other hand, propagating EHs can be trapped at ion density maxima. The results of our simulations will help in understanding the nonlinear dynamics of EHs in space and laboratory plasmas.

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Some theoretical models for solitary structures of boundary layer waves

Cited by 14 publications

References 54 publications

An explanation for high‐frequency broadband electrostatic noise in the Earth's magnetosphere

An explanation for high‐frequency broadband electrostatic noise in the Earth's magnetosphere

Nonlinear Alfvén waves, discontinuities, proton perpendicular acceleration, and magnetic holes/decreases in interplanetary space and the magnetosphere: intermediate shocks?

Dynamics of Electron Holes in an Electron–Oxygen-Ion Plasma

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