A nonextensive approach for the instability of current-driven ion-acoustic waves in space plasmas

Abstract

The instability of current-driven ion-acoustic waves in the collisionless magnetic-field-free space plasma is investigated by using a nonextensive approach. The ions and the electrons are thought of in the power-law distributions that can be described by the generalized q-Maxwellian velocity distribution and are considered with the different nonextensive q-parameters. The generalized q-wave frequency and the generalized instability q-growth rate for the ion-acoustic waves are derived. The numerical results show that the nonextensive effects on the ion-acoustic waves are not apparent when the electron temperature is much more than the ion temperature, but they are salient when the electron temperature is not much more than the ion temperature. As compared with the electrons, the ions play a dominant role in the nonextensive effects.

Re-examining the Cairns-Tsallis model for ion acoustic solitons

“…There are two separate physical regions, −1 < q 1, covering all velocities (and potentially representing highenergy tails) and q 1, where the distribution function exhibits a thermal cut-off on the maximum value allowed for the velocity of the particles [17,18]. In recent years, this Tsallis model has frequently been used for investigations into ion acoustic dynamics in plasmas [19][20][21][22][23][24][25][26]. Using a pseudopotential approach, Dubinova and Dubinov [19] studied the dependence of the Mach number of ion acoustic solitons on the parameter q. Tribeche et al [22] considered ion acoustic solitary wave generation in a two-component plasma with Tsallis-distributed electrons and found that their model allowed for both compressive and rarefactive solitons to arise.…”

Dust charging processes in the nonequilibrium dusty plasma with nonextensive power-law distribution

“…The physical explanation for the parameter q different from unity was represented for the nonequilibrium plasma system with Coulombian long-range interactions 19 . Many of the basic characteristics of electron-ion plasmas and dusty plasmas have been investigated under the condition of the power-law q-distributions, such as electron and ion dust charging process 26 , ion acoustic waves [27][28][29][30][31][32][33] , dust acoustic waves [34][35][36][37] , solitary waves 29,[36][37][38] , electron acoustic waves [39][40][41] , and Jeans' instability in space plasma 42,43 , etc. Nevertheless, according to present knowledge, the usually employed q-distribution function is not factorized for kinetic and potential energies because without considering the nonextensivity of the energy.…”

The nonextensive parameter for the rotating astrophysical systems with power-law distributions

“…Eq. (4) has also be applied to establish new characteristics in the nonequlibrium space plasmas with the power-law distributions [17,18,50,51]. In this work, on the basis of the q-kinetic theory in NSM we will study the q-parameter for the rotating astrophysical systems with the q-distribution, generally including the self-gravitating systems and the space plasmas.…”