Nonlinear modulation of ion-acoustic waves in two-electron-temperature plasmas

Abstract

The amplitude modulation of ion-acoustic waves is investigated in a plasma consisting of adiabatic warm ions, and two different populations of thermal electrons at different temperatures. The fluid equations are reduced to nonlinear Schrödinger equation by employing a multi-scale perturbation technique. A linear stability analysis for the wave packet amplitude reveals that long wavelengths are always stable, while modulational instability sets in for shorter wavelengths. It is shown that increasing the value of the hot-to-cold electron temperature ratio (μ), for a given value of the hot-to-cold electron density ratio (ν), favors instability. The role of the ion temperature is also discussed. In the limiting case ν = 0 (or ν → ∞), which correspond(s) to an ordinary (single) electron-ion plasma, the results of previous works are recovered.

K-dV solitons in a magnetized dusty plasma with two distinct temperature nonextensive electrons and Maxwellian ions

“…Let us consider the propagation of dust-acoustic (DA) waves in a magnetic field pointing to the z-direction in presence of negatively charged mobile dust, ions of temperature T i (following Maxwellian distribution) and two distinct temperature electrons (following nonextensive q-distribution each) of temperature T e1 and T e2 , existing in space and laboratory plasma system both experimentally (Schippers et al 2008;Jones et al 1975) and theoretically (Shamansouri and Alinejad 2013;Esfanyari-Kalijahi et al 2010;Masood et al 2009;Saini and Shalini 2013;Baluku and Hellberg 2012;Sultana et al 2012). We assume that T e2 T e1 T i , so that at equilibrium the quasi-neutrality condition requires n i0 = n e10 + n e20 + Z d n d0 , or μ i = μ 1 + μ 2 + 1, where n e10 , n e20 , n i0 and n d0 are respectively, the densities of cold electrons, hot electrons, ions and dust at equilibrium.…”

Breather structures in a plasma with warm ions and Cairns electrons

“…The ultimate consequence of the balance occurring between the non-linearities and the wave group dispersion is called an envelope soliton. The oblique MI of IA waves in a collisionless unmagnetized plasma containing two distinct temperature isothermal electrons have been studied in refs [34,35]. [11][12][13][14][15][16] The KdV soliton is formed when wave phase dispersion balances the non-linearity of the medium.…”

“…The modulational instability of IA waves in multi-species unmagnetized or magnetized plasmas have been studied by a number of authors theoretically [10,[24][25][26][27][28][29][30] and experimentally [31,32] Kourakis and Shukla [33] investigated the MI of IA waves in a collisionless unmagnetized plasma with oblique propagation, comprising of cold ions and two distinct populations of isothermal electrons at different temperatures. The oblique MI of IA waves in a collisionless unmagnetized plasma containing two distinct temperature isothermal electrons have been studied in refs [34,35].…”

Ion-acoustic vortex formation in a non-uniform two-electron-temperature magnetoplasma with sheared ion flow

“…The possibility of the formation of double layers in twoelectron-temperature plasmas has also been studied in detail by various authors [19,20]. Recently, Esfandyari-Kalejahi et al [22] studied the nonlinear modulation of ionacoustic waves (IAWs) in a two-electron-temperature plasma and found that the increasing hot-to-cold electron ratio favored the growth of modulational instability. Recently, Esfandyari-Kalejahi et al [22] studied the nonlinear modulation of ionacoustic waves (IAWs) in a two-electron-temperature plasma and found that the increasing hot-to-cold electron ratio favored the growth of modulational instability.…”

“…Masood et al [21] studied the propagation of ion-acoustic solitons in a twoelectron-temperature plasma in cylindrical and spherical geometries and showed that an increase in the ratio of hot-to-cold electron temperature decreases the rarefactive solitary potential. Recently, Esfandyari-Kalejahi et al [22] studied the nonlinear modulation of ionacoustic waves (IAWs) in a two-electron-temperature plasma and found that the increasing hot-to-cold electron ratio favored the growth of modulational instability. More recently, Balaku et al [23] revisited IAWs in a twotemperature plasma and found that positive-potential double layers can form below a critical density ratio, associated with the third derivative of the Sagdeev potential evaluated at the origin for the phase velocity of the linear wave.…”