Solitary electrostatic waves are possible in unmagnetized symmetric pair plasmas

Дубинов, А. Е.; Dubinova, I. D.; Gordienko, V. A.

doi:10.1063/1.2335819

Cited by 58 publications

(28 citation statements)

References 12 publications

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“…In a recent preprint Dubinov et al 37 reached broadly similar conclusions about the existence range in the parameter space of and M, but only ␥ e = ␥ p = 1 values were studied. Their treatment is based on a Sagdeev approach and on the inversion of the Bernoulli relations ͑15͒ in the limit ␥ e = ␥ p = 1, in terms of the Lambert W function, 38 so that the pseudopotential is expressed in terms of .…”

Section: ͑28͒mentioning

confidence: 68%

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Existence of bulk acoustic modes in pair plasmas

Verheest

2006

Physics of Plasmas

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In view of applications to electron-positron and fullerene pair plasmas, a thorough discussion is given of the dispersion of linear electrostatic waves, before finding the parameter ranges in which stationary nonlinear electrostatic modes can exist, when there is a thermodynamic asymmetry between both constituents. Arguments for such an asymmetry can be found in the observed dispersion in fullerene pair plasma experiments, but point to small asymmetries. The existence of solitary modes is first discussed in general terms for various polytropic pressure-density relations, showing that the solitons are always compressive in both pair components. For large thermal asymmetries, there is at most a doubling of the densities, but small asymmetries lead to weakly nonlinear amplitudes, described by familiar Korteweg-de Vries solitons. Observations of an intermediate wave in the theoretical gap between the acoustic and Langmuir branches of the linear dispersion diagram might be accounted for, at least partially, by a train of weak solitons, as the difference between weak solitary modes and linear harmonic waves is rather difficult to ascertain experimentally.

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Section: ͑28͒mentioning

confidence: 68%

“…39 The range 0 ഛ T p / T e ഛ 1 of the existence domains in Fig. 3 by Dubinov et al 37 corresponds to our Fig. 6, since, as explained, I have chosen to restrict the discussion to that temperature range for reasons of simplicity.…”

Section: ͑28͒mentioning

confidence: 96%

Existence of bulk acoustic modes in pair plasmas

Verheest

2006

Physics of Plasmas

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“…On the other hand, the existence of such waves in pair-plasmas assuming a thermodynamic unequilibrium, i.e., when the temperatures of the species are different, has been investigated and confirmed in Ref. 22. In this work, we shall investigate the propagation of ES solitary waves in a collisionless plasma consisting of isothermal electron ͑or negative fullerene ions C 60 − ͒, positrons ͑or positive fullerene ions C 60 + ͒, and stationary heavy positive ions ͑or dust particulates͒.…”

Section: Introductionmentioning

confidence: 94%

Dressed electrostatic solitary excitations in three component pair-plasmas: Application in isothermal pair-plasma with stationary ions

2009

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In this work electrostatic solitary waves in a three component pair-plasma consisting of hot isothermal electrons (or negative fullerene ions), positrons (or positive fullerene ions), and stationary positive ions (say, dust particulates) are studied. Using reductive perturbation method, plasma fluid equations are reduced to a Korteweg–de Vries (KdV) equation. Considering the higher-order nonlinearity, a linear inhomogeneous equation is derived, and the stationary solutions of these coupled equations are achieved by applying the renormalization procedure of Kodama–Taniuti. It is observed that in the linear approximation and applying Fourier analysis, two electrostatic modes, namely, upper or optical and lower or acoustic modes, are present. However, the application of reductive perturbation technique confirms that only acoustic-electrostatic mode can propagate in such plasma as KdV soliton, the amplitude and width of which are studied regarding to plasma parameters σ (positron-to-electron temperature ratio) and δ (stationary cold ions-to-electron density ratio). It is also observed that the higher-order nonlinearity leads to deformation of the soliton structure from bell-shaped to W-shaped depending on the variation in values of the plasma parameters σ and δ. It is revealed that KdV-type solitary waves cannot propagate in three component pair-plasma when the pair-species temperature is equal.

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“…During this decade, an extensive theoretical research work on linear and nonlinear electrostatic waves in PI plasma has also been carried out. The large amplitude nonlinear electrostatic structures in PI plasmas are studied by Dubinov et al 11 The authors reported that solitary waves formed only when a small difference of temperature exist between the two pair ion species. The solitary structures in symmetric plasmas with gas dynamic approach have also been investigated.…”

Section: Introductionmentioning

confidence: 99%

Formation of electrostatic solitons, monotonic, and oscillatory shocks in pair-ion plasmas

Mahmood

Ur‐Rehman

2010

Physics of Plasmas

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The nonlinear electrostatic structures in homogeneous, unmagnetized pair-ion plasma are studied. The dissipation in the system is taken through kinematic viscosities of both pair-ion species. The one dimensional ͑Korteweg-de Vries-Burgers͒ KdVB equation is derived using reductive perturbation method. The analytical solution of KdVB is obtained using tanh method. It is found that solitons and monotonic shocks structures are formed in such type of plasmas depending on the value of dissipation in the system. Both compressive and rarefactive structures of solitons and monotonic shocks are obtained depending on the temperatures of negative and positive ions. The oscillatory shock structure in pair-ion plasmas is obtained and its necessary conditions for formation are discussed. The numerical illustrations of potential structures for different values of dissipation in the system are also shown, which may have some relevance in the future experiments of laboratory produced pair-ion plasmas.

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Solitary electrostatic waves are possible in unmagnetized symmetric pair plasmas

Cited by 58 publications

References 12 publications

Existence of bulk acoustic modes in pair plasmas

Existence of bulk acoustic modes in pair plasmas

Dressed electrostatic solitary excitations in three component pair-plasmas: Application in isothermal pair-plasma with stationary ions

Formation of electrostatic solitons, monotonic, and oscillatory shocks in pair-ion plasmas

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