2008
DOI: 10.1088/0741-3335/50/9/095007
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Adiabatic evolution of phase space electron–hole in plasmas with super-thermal electrons

Abstract: The possibility of the nonlinear decay of a localized perturbation into the ionacoustic solitons is studied. This corresponds to the formation of several electrons-holes in the phase space. The plasma is assumed to contain a population of super-thermal electrons and therefore the κ distribution is used to model the high energy tail in the electron distribution function. The formalism is derived near the ion plasma frequency. In this range of frequency, the ion dynamics is considerable and the ion-acoustic soli… Show more

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Cited by 17 publications
(15 citation statements)
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“…They have shown the importance of the presence of the two effects on the existence and propagation of ion acoustic waves. Abbasi and Hakimi (2008) and Ahmadihojatabad et al (2010) made similar studies but with supra-thermal electrons modeled by Kappa distribution (generalized Lorentzian) (Hau, 2007) and trapped electrons modeled by the distribution of Schamel. In the same way, throughout this work, we studied these two effects on the self-similar expansion of plasma created by lasers, enough powerful to excite nonlinear effects such as plasma waves. The energetic electrons are supposed to follow the Cairns function distribution whereas the electrons trapped by the potential wells created by the plasma waves are modelled by the function of distribution of Gurevich.…”
Section: Introductionmentioning
confidence: 67%
“…They have shown the importance of the presence of the two effects on the existence and propagation of ion acoustic waves. Abbasi and Hakimi (2008) and Ahmadihojatabad et al (2010) made similar studies but with supra-thermal electrons modeled by Kappa distribution (generalized Lorentzian) (Hau, 2007) and trapped electrons modeled by the distribution of Schamel. In the same way, throughout this work, we studied these two effects on the self-similar expansion of plasma created by lasers, enough powerful to excite nonlinear effects such as plasma waves. The energetic electrons are supposed to follow the Cairns function distribution whereas the electrons trapped by the potential wells created by the plasma waves are modelled by the function of distribution of Gurevich.…”
Section: Introductionmentioning
confidence: 67%
“…The decay process of the initial perturbation takes place quite slowly. Therefore, in order to prevent the violation of the conservation laws due to the large number of temporal iterations, a special numerical scheme has to be designed to obtain the desired accuracy [14].…”
Section: Resultsmentioning
confidence: 99%
“…( 1) and ( 2) of [17], where the electrons distribution function actually is not a function of the energy, or Eqs. ( 1) and ( 2) of [18], where it is non-propagating (v 0 = 0).…”
Section: One-dimensional Superthermal Distributionmentioning
confidence: 99%