Self-Organized and Chaotic States in Dust-Contaminated Electron-Positron Magnetoplasma with Equilibrium Flows

Abstract

Nonlinear equations governing the dynamics of low-frequency (in comparison with electron gyro-frequency) electrostatic disturbances in a nonuniform resistive dust-contaminated electron-positron magnetoplasma with equilibrium sheard flow are derived. In the linear limit, a local dispersion relation has been derived and analyzed. On the other hand, in the nonlinear case, the temporal behavior of the nonlinear system can be represented in the form of a 5 × 5 matrix, which is a generalization of Lorenz-Stenflo equations admitting chaotic trajectories. We have also presented a linear stability analysis of a generalized Lorenz-Stenflo system of equations under different approximations. It is also shown that for small magnetic shear and for a nondissipative plasma, a quasi-stationary solution of the mode coupling equations can be represented in the form of counter-rotating vortices. These results would be helpful to understand plasma turbulence and wave phenomena which have frequently been observed in several laboratory and astrophysical plasma systems.

Large amplitude dust-acoustic solitary waves in electron-positron-ion plasma with dust grains

“…[37][38][39][40][41][42] The coexistence of both DA solitons and double layers (DLs) has been studied in unmagnetized four component dusty plasma using Sagdeev's pseudopotential method. 43 Although many works have been done on nonlinear wave dynamics in e-p-dust plasmas 29,30,[44][45][46][47][48] and e-i-dust plasmas, 5,43,[49][50][51][52][53][54][55][56][57][58] however, only few studies exist on nonlinear structures in e-p-ion-dust plasmas. 59,60 In account of the ubiquitous existence of dust particulates in space and laboratory plasmas [26][27][28][29][30][31][32] and in relation with the associated observation of solitary structures, we follow the study of DA solitary waves in four components (e-p-i-d) plasma.…”

Large Amplitude Dust-acoustic Solitons in a Plasma Consisting of Superthermal Electron-positron Pairs and Dust Particulates

“…Moreover, the characteristics of solitons in Earth's dusty mesosphere have been examined by Popel et al [14]. Furthermore, because of the coexistence of EP pairs and dust grains in many astrophysical environment, there are some theoretical studies about nonlinear wave propagation in e-p-d plasmas, see for example [15][16][17]. It is found that the presence of charged dust grains modifies the existing plasma wave spectra and may even introduce new eigenmodes in the plasma.…”

Nonlinear theory of ion-sound waves in a dusty electron-positron-ion plasma

“…The theory of the epid plasma was developed, for example, in [1][2][3][4][5][6][7]. In [1], whistlers were considered; electromagnetic surface waves were analyzed in [2], while publication [3] is devoted to the ion sound sur face of a magnetized epid plasma.…”

“…In [1], whistlers were considered; electromagnetic surface waves were analyzed in [2], while publication [3] is devoted to the ion sound sur face of a magnetized epid plasma. Particular cases of epid magnetoplasma in the absence of ions were described in [4,5]; chaotic behavior under low fre quency electrostatic perturbation of the plasma was con sidered in [4] and dust-acoustic waves were analyzed in [5]. Planar and nonplanar dust acoustic waves in a non magnetized epid plasma were also studied in [6].…”