Influence of trapped electrons on ion-acoustic solitons in plasmas with superthermal electrons

Abstract

A model for describing the physics of both superthermal and trapped electrons is presented. This is important because most of the space and some of the laboratory plasmas contain a population of superthermal particles. Due to the superthermal electrons, a high-energy tail appears in the electron distribution function that is conveniently modeled by the κ distribution function. The distribution function of trapped particles is modeled based on the simulation result of the Vlasov-Poisson system of equations. An analytical expression for the electron density is obtained. The ion-acoustic solitons are studied in this framework.

On the generation of envelope solitons in the presence of excess superthermal electrons and positrons

“…In recent years the theory of excess superthermal particles has undergone substantial development (Formisano et al 1973;Mendis and Rosenberg 1994;Scudder et al 1981;Marsch et al 1982;Lazar et al 2008;Leubner and Schupfer 2002;Hellberg and Mace 2002;Abbasi and Pajouh 2007;Saini and Kourakis 2008; P.K. Shukla School of Physics, Faculty of Science & Agriculture, University of Kwazulu-Natal, Durban 4000, South Africa Sultana et al 2010;Tribeche and Boubakour 2009;Chuang and Haul 2009;Gill et al 2010).…”

“…Therefore, it is expected that the such environment has excess superthermal (high-energy) charged particles, i.e., electrons and positrons, and therefore they can be described by kappa distribution. Based on the latter, many authors have been studied the effect of superthermal particles (electrons and ions) on different types of linear and nonlinear collective processes in plasmas see example (Leubner and Schupfer 2002;Hellberg and Mace 2002;Abbasi and Pajouh 2007;Saini and Kourakis 2008;Sultana et al 2010;Tribeche and Boubakour 2009;Chuang and Haul 2009;Gill et al 2010).…”

Zakharov-Kuznetsov-Burgers equation in superthermal electron-positron-ion plasma

“…The advantage of employing κ distribution lies in the fact that the Maxwellian distribution is a special case of the κ function in the limit of κ → ∞. Based on superthermal assumption, many authors have been studied the effect of superthermal particles (electrons, positrons, and ions) in different types of plasma environments (e.g., Hellberg and Mace 2002;Leubner and Schupfer 2002;Leubner 2004;Abbasi and Pajouh 2007;Saini and Kourakis 2008;Chuang and Hau 2009;Tribeche and Boubakour 2009;El-Awady et al 2010;Sultana et al 2010). …”

Energy of electron acoustic solitons in plasmas with superthermal electron distribution

“…It has been found that generalized Lorentzian of k distribution can be modeled such space plasmas, better than the Maxwellian distribution (Hasegawa et al 1985;Thorne and Summers 1991;Summers and Thorne 1991;Summers and Thorne 1994;Mace and Hellberg 1995b). Kappa distribution has been used by several authors (Hellberg and Mace 2002;Podesta 2005;Abbasi and Pajouh 2007;Baluku and Hellberg 2008;Hellberg et al 2009;Sultana et al 2010;Baluku et al 2010) in studying the effect of Landau damping on various plasma modes. "Superthermal" plasma behavior was observed in various experimental plasma contexts, such as laser matter interactions or plasma turbulence (Magni et al 2005).…”