Modulational instability of ion-acoustic waves in a plasma with a q-nonextensive electron velocity distribution

Abstract

The modulational instability (MI) of ion-acoustic waves (IAWs) in a two-component plasma is investigated in the context of the nonextensive statistics proposed by Tsallis [J. Stat. Phys. 52, 479 (1988)]. Using the reductive perturbation method, the nonlinear Schrödinger equation (NLSE) which governs the MI of the IAWs is obtained. The presence of the nonextensive electron distribution is shown to influence the MI of the waves. Three different ranges of the nonextensive q-parameter are considered and in each case the MI sets in under different conditions. Furthermore, the effects of the q-parameter on the growth rate of MI are discussed in detail.

Modulation of ion-acoustic waves in a nonextensive plasma with two-temperature electrons

“…Similar investigations have also been made of IAWs in plasmas with two-temperature electrons [30] and kappa-distributed superthermal electrons [31]. Furthermore, Bains et al [25] studied the MI of ion-acoustic wave envelopes in a plasma containing non-extensive electrons.…”

“…(24) and (25). Since P and Q are dependent on various physical parameters viz f , β, q c and the carrier wave number k, so it is very important to understand the nature of solitary structures from the solutions of Eq.…”

“…Such q-nonextensive distribution has been widely used to study various nonlinear coherent structures like solitons, double layers or shocks etc. [22][23][24][25][26][27][28].…”

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.…”

Nonlinear dust acoustic waves in a charge varying complex plasma with nonthermal ions featuring Tsallis distribution

“…We noticed that the spatial patterns of the variable charge DA solitary wave have been significantly modified by the nonthermal effects. Parallelly, the Tsallis q-entropy (Tsallis 1988) and the ensuing generalized statistics have been employed with some success in plasma physics (Lima et al 2000;Du 2004;Liyan and Du 2008;Liu et al 2009;Liu and Du 2009;Tribeche 2010, 2011;Tribeche 2011a, 2011b;Bains et al 2011aBains et al , 2011bTribeche and Merriche 2011). This leads us to wonder about the possible generalization of the concept of ion nonthermality within the theoretical framework of the Tsallis thermostatistics (Tsallis 1988).…”