Electron acoustic waves in a plasma with a q-nonextensive distribution of electrons

Abstract

Using a kinetic theoretical approach, the characteristics of electron acoustic waves (EAWs) have been studied in a plasma whose electron velocity distributions are modeled by a q-nonextensive distribution function. Analytical expressions have been derived to show the dependence of the phase velocity of EAWs on nonextensive parameter q for different ranges of wavelengths of EAWs. These expressions show that in all three regions (i.e., long wavelength, intermediate wavelength, and short wavelength regions), the dispersion of EAWs depends on the nonextensive parameter q. The numerical solution of the dispersion relation has been obtained to identify strongly and weakly damped regions of the EAWs. The results show that the range of wavenumbers for which EAWs are weakly damped depends strongly on the nonextensive parameter q. The smaller values of nonextensive parameter q mean more nonthermal electrons and hence the narrow range of the weakly damped region of EAWs. In the limit q→1, the results of the Maxwellian distribution function can be obtained from the results of the q nonextensive distribution function.

Effects of electron trapping on nonlinear electron-acoustic waves excited by an electron beam via particle-in-cell simulations

“…EA waves are strongly Landau damped because the electron thermal speed is almost equivalent to the phase velocity [11] of the wave and its damping decreases when the hot and cold electron temperature ratio is very large. The frequency of EA waves is essentially larger than that of ion acoustic waves and less than Langmuir waves, while its phase velocity intermediates the cold and hot electron thermal speeds [12,13]. Gary and Tokar [14] presented the dispersive properties of linear EA waves in a uniform unmagnetized Vlasov plasma and demonstrated a necessary criterion: the temperature ratio of hot to cold electron is larger than a factor of 10.…”

Effect of non‐extensivity parameter q on the damping rate of dust ion acoustic waves in non‐extensive dusty plasma

“…Here, Z q s ( s ) is the plasma dispersion function for the q-non-extensive distribution function (with s = ∕ √ 2kv ts ) and is given by [27] :…”

Head-on collision of dust-ion acoustic solitary waves in a plasma with a nonextensive electron

“…During the last years, this technique has been frequently used in the literature to describe the head-on collision of solitary waves propagating in different media [18][19][20][21][22][23][24][25][26]. On another side, space plasma observations invoke that the electron populations in the dusty plasma systems can presence in a non-equilibrium form [27][28][29][30][31][32][33]. In more general sense, there are many physical systems which cannot be explained correctly using the classical statistical description.…”