Statistical properties of small-amplitude Langmuir waves in the Earth's electron foreshock

Musatenko, K.; Lobzin, V. V.; Souček, J; Krasnoselskikh, V.; Décréau, Pierrette

doi:10.1016/j.pss.2007.05.025

Cited by 3 publications

(4 citation statements)

References 19 publications

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“…The Langmuir wave amplitude distribution in a substantial part of the amplitude range follows the lognormal distribution (〈log E 〉=−1.170 ± 0.002, σ log E = 0.387 ± 0.001) as is predicted by the stochastic growth theory [e.g., Robinson , ] and shown by several observations of Earth's foreshock [e.g., Cairns and Robinson , ; Sigsbee et al ., ]. However, the amplitude distribution inside Earth's foreshock was also found to follow the Pearson IV distribution [ Krasnoselskikh et al ., ; Musatenko et al ., ].…”

Section: Discussionmentioning

confidence: 99%

“…foreshock [e.g., Sigsbee et al, 2004b]. However, the amplitude distribution inside Earth's foreshock was also found to follow the Pearson IV distribution Musatenko et al, 2007].…”

Section: Discussionmentioning

confidence: 99%

“…This fact could lead to the underestimation of wave amplitudes due to temporal and spatial averaging. Recently, more detailed studies of Langmuir waves in the terrestrial foreshock were done using waveforms captured by Wind [Bale et al, 1997a], Cluster [Sigsbee et al, 2004a[Sigsbee et al, , 2004bSoucek et al, 2005;Krasnoselskikh et al, 2007;Musatenko et al, 2007], and STEREO spacecraft [Malaspina et al, 2009]. PÍŠA ET AL.…”

Section: Introductionmentioning

confidence: 99%

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Statistics of Langmuir wave amplitudes observed inside Saturn's foreshock by the Cassini spacecraft

et al. 2015

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We present the first systematic study of Langmuir wave amplitudes in Saturn's foreshock using the Cassini Radio and Plasma Wave Science/Wideband Receiver measurements. We analyzed all foreshock crossings from June 2004 to December 2009 using an automatic method to identify Langmuir waves. Using this method, almost 3 × 10 5 waveform intervals of typical duration of about a minute were selected. For each selected waveform interval the position of the satellite inside the foreshock was calculated using an adaptive bow shock model, which was parametrized by the observed magnetic field and plasma data. We determined the wave amplitudes for all waveform intervals, and we found that the probability density function amplitudes follow a lognormal distribution with a power law tail. A nonlinear fit for this tail gives a power law exponent of −1.37 ± 0.01. The distribution of amplitudes as a function of the depth in the foreshock shows the onset of the waves near the upstream boundary with its maximum slightly shifted inside the foreshock (∼1 R S ). The amplitudes then fall off with increasing depth in the downstream region. Our results are in agreement with previous observations and roughly follow the generally accepted stochastic growth theory mechanism for the foreshock region, with an exception at the highest observed amplitudes. The estimated energy density ratio W for largest amplitudes does not exceed 10 −2 , suggesting that modulational instability is not relevant for a large majority of waves. The decay instability can be important for the stronger electrostatic waves in Saturn's foreshock, as was previously reported for multiple solar system planets.

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Section: Discussionmentioning

confidence: 99%

“…foreshock [e.g., Sigsbee et al, 2004b]. However, the amplitude distribution inside Earth's foreshock was also found to follow the Pearson IV distribution Musatenko et al, 2007].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Statistics of Langmuir wave amplitudes observed inside Saturn's foreshock by the Cassini spacecraft

et al. 2015

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“…Cairns and Robinson (1999); Boshuizen et al (2001) in the Earth foreshock and Boshuizen et al (2004) for the foreshock region of Saturn, Neptune and Uranus showed that the probability distribution of the electric strength of Langmuir waves agrees with the lognormal distribution expected from the SGT. However, Krasnoselskikh et al (2007) and Musatenko et al (2007) recently provided probability distribution of the wave energy density in the Earth foreshock and showed a discrepancy from the SGT expected lognormal shape.…”

Section: Planetary Foreshockmentioning

confidence: 96%

Langmuir waves across the heliosphere

Briand

2015

J. Plasma Phys.

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All the bodies of the solar system are embedded in the supersonic flux of energetic particles emitted by the Sun. Since the advent of the space age, the models to describe the interaction of this plasma flow with the planets, asteroids, comets etc. have drastically progressed. The possibilities of in situ measurements of the particle distributions and electromagnetic fields have enabled the plasma theories to be tested under astrophysical conditions. Energy transfer from the Sun to the outermost regions of the heliosphere as well as the processes leading to the dissipation of this energy are central questions for heliophysicists. Understanding the dynamics of the particles is thus critical. It is a particularly complicated subject since the medium is (almost) non-collisional. Thus, next to the description of the particles, the development of waves must be considered. Indeed, they participate to the exchange of energy between different species that would not interact otherwise. In other words, waves may play the role of collisions. This paper concentrates on Langmuir waves for their strong links with the electron dynamics. The basic processes of growth and saturation of the Langmuir waves are reviewed to stress their diagnostic capabilities. Then, the characteristics of the waves are described in the several heliophysical contexts: the planetary environments (in particular the ionosphere, the magnetotail and the foreshock) and in the interplanetary medium (in quiescent conditions of the solar wind or during transient events). A particular emphasis is given to results obtained in the last 15 years.

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Shape modeling with family of Pearson distributions: Langmuir waves

Vidojevic¹

2014

Advances in Space Research

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Statistical properties of small-amplitude Langmuir waves in the Earth's electron foreshock

Cited by 3 publications

References 19 publications

Statistics of Langmuir wave amplitudes observed inside Saturn's foreshock by the Cassini spacecraft

Statistics of Langmuir wave amplitudes observed inside Saturn's foreshock by the Cassini spacecraft

Langmuir waves across the heliosphere

Shape modeling with family of Pearson distributions: Langmuir waves

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