Langmuir solitons in a two-temperature plasma

Buti, B.; Yu, M. Y.

doi:10.1017/s0022377800010692

Cited by 14 publications

(7 citation statements)

References 11 publications

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“…Concerning this equation, the only significant difference for the case of two temperature plasma is the modification of Langmuir dispersion relation [Buti and Yu, 1981] to…”

Section: Summary and Discussionmentioning

confidence: 99%

“…[42] We consider a two-component plasma consisting of cold and hot electron populations denoted by indices c and h. The Langmuir wave dynamics is described by the first equation from the set of Zakharov equations [Zakharov, 1972], where the effects of low-frequency density perturbations on the high-frequency waves enter through the nonlinear term. Concerning this equation, the only significant difference for the case of two temperature plasma is the modification of Langmuir dispersion relation [Buti and Yu, 1981] to…”

Section: Summary and Discussionmentioning

confidence: 99%

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Nonlinear decay of foreshock Langmuir waves in the presence of plasma inhomogeneities: Theory and Cluster observations

et al. 2005

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[1] The intense high-frequency electrostatic waves observed in the terrestrial foreshock often have a form of a superposition of two monochromatic waves close to the plasma frequency. We suggest an interpretation of these spectra as signatures of nonlinear decay of Langmuir waves to electron-sound and ion-sound secondary waves. This decay instability is known to have different properties in inhomogeneous plasma, namely the threshold amplitude of this instability is inversely proportional to the scale of the inhomogeneity. We show that the observed dependence of the wave amplitude on the modulation scale of the wave packets is consistent with this property and the theory of absolute decay instability in inhomogeneous plasma can be applied to explain the satellite observations. In this study we used electric field data from the Wide Band Data instrument on board Cluster satellites.

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“…Concerning this equation, the only significant difference for the case of two temperature plasma is the modification of Langmuir dispersion relation [Buti and Yu, 1981] to…”

Section: Summary and Discussionmentioning

confidence: 99%

Section: Summary and Discussionmentioning

confidence: 99%

Nonlinear decay of foreshock Langmuir waves in the presence of plasma inhomogeneities: Theory and Cluster observations

et al. 2005

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“…n tot ) the hot (resp. total) electron density, the associated complex frequency ω L 2 can be expressed in the limit

\frac{ω}{k} ≫ v_{h} ≫ v_{c}

, (Buti & Yu, ), as

ω_{L 2} (k) = ω_{p} \sqrt{1 + 3 {((), \frac{n_{h}}{n_{tot}})}^{2} {(k λ_{D, h})}^{2}} - i \sqrt{\frac{π}{8}} \frac{ω_{p}}{{(k λ_{D, h})}^{3}} e^{- \frac{1}{2 {(k λ_{D, h})}^{2}}}

…”

Section: Potential Induced By a Pulsating Point Charge In An Isotropimentioning

confidence: 99%

“…n tot ) the hot (resp. total) electron density, the associated complex frequency L2 can be expressed in the limit (Buti & Yu, 1981), as…”

Section: Linear Eigenmodesmentioning

confidence: 99%

Electrostatic Potential Radiated by a Pulsating Charge in a Two‐Electron Temperature Plasma

et al. 2017

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Mutual impedance experiments have been developed to constrain the plasma bulk properties, such as density and temperature, of ionospheric and later space plasmas, through the electric coupling between an emitter and a receiver electric antennas. So far, the analytical modeling of such instruments has enabled to treat ionospheric plasmas, where charged particles are usually well characterized by Maxwellian electron distributions. With the growth of planetary exploration, mutual impedance experiments are or will be used to constrain space plasma bulk properties. Space plasmas are usually out of local thermodynamic equilibrium; therefore, new methods to calibrate and analyze mutual impedance experiments are now required in such non‐Maxwellian plasmas. To this purpose, this work aims at modeling the electric potential generated in a two‐electron temperature plasma by a pulsating point charge. A numerical method is developed for the computation of the electrostatic potential in a sum of Maxwellian plasmas. After validating the method, the results are used to build synthetic mutual impedance spectra and quantify the effect of a warm electron population on mutual impedance experiments, in order to illustrate how the method could be applied for recent and future planetary space missions, such as Rosetta, BepiColombo, and JUICE. In particular, we show how it enables to separate the densities and temperatures of two different electron populations using in situ measurements from the RPC‐MIP mutual impedance experiment on board Rosetta.

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“…Note that the effective electron temperature entering the definition of the ion-sound speed is different from the effective temperature defining the dispersion (i.e. curvature) of the Langmuir branch at small wavenumbers (Buti & Yu 1981;. From (4) and (5) we can also express n h and n c in terms of the total density perturbation n = n h + n c .…”

Section: Nonlinear Waves In Two-temperature Plasmasmentioning

confidence: 99%

Nonlinear wave interactions in two-electron-temperature plasmas

et al. 1994

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Dynamical equations are derived for the evolution of weakly nonlinear electron plasma waves when the electron distributions are characterized by more than one temperature component. The presence of electron-acoustic modes in multi- temperature plasmas opens a new decay channel. By considering an explicit example, it is demonstrated that these distributions imply significant modifications of the standard models for the decay spectrum of electron plasma waves. In particular, long-wavelength Langmuir waves can decay to shorter wavelengths. The results can have implications for ionospheric heating experiments.

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Langmuir solitons in a two-temperature plasma

Abstract: The existence of finite-amplitude Langnwir solitary waves in a two-electron-temperature plastia is investigated. A now type of soliton, in which the density depression and the electric field amplitude scale in the same manner, and which travels at the effective sound speed, has been found.

Cited by 14 publications

References 11 publications

Nonlinear decay of foreshock Langmuir waves in the presence of plasma inhomogeneities: Theory and Cluster observations

Nonlinear decay of foreshock Langmuir waves in the presence of plasma inhomogeneities: Theory and Cluster observations

Electrostatic Potential Radiated by a Pulsating Charge in a Two‐Electron Temperature Plasma

Nonlinear wave interactions in two-electron-temperature plasmas

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