Electron-acoustic solitary waves in the presence of a suprathermal electron component

Ashkbiz Danehkar, Nareshpal Singh Saini, Manfred A. Hellberg, Ioannis Kourakis

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    The nonlinear dynamics of electron-acoustic localized structures in a collisionless and unmagnetized plasma consisting of cool inertial electrons, hot electrons having a kappa distribution, and stationary ions is studied. The inertialess hot electron distribution thus has a long-tailed suprathermal (non-Maxwellian) form. A dispersion relation is derived for linear electron-acoustic waves. They show a strong dependence of the charge screening mechanism on excess suprathermality (through ). A nonlinear pseudopotential technique is employed to investigate the occurrence of stationary-profile solitary waves, focusing on how their characteristics depend on the spectral index , and the hot-to-cool electron temperature and density ratios. Only negative polarity solitary waves are found to exist, in a parameter region which becomes narrower as deviation from the Maxwellian (suprathermality) increases, while the soliton amplitude at fixed soliton speed increases. However, for a constant value of the true Mach number, the amplitude decreases for decreasing .
    Original languageEnglish
    Pages (from-to)072902-1-072902-10
    Number of pages10
    JournalPhysics of Plasmas
    Issue number7
    Publication statusPublished - 2011


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