磁化反极性尘埃等离子体中尘埃-离子-声波的非线性动力学

Md. Rakib Hassan, S. Biswas, K. Habib, S. Sultana
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摘要

本文研究了一种包含电荷相反的静止尘埃颗粒、惯性离子流体和非惯性超热电子的四组分磁化碰撞超热反极性尘埃等离子体(OPDP),从理论和数值上研究了不同模式的尘埃离子声波(DIAWs)。此外,还考虑了离子与中性粒子之间的碰撞效应和绝热热离子的温度效应,从而对DIAWs进行了更全面的描述。为了研究diaw的生长、评价、传播及其基本特征(如速度、振幅、能量、宽度等),采用约化微扰理论推导了阻尼Zakharov-Kuznetsov-Burgers (dZKB)方程,并采用双曲正切法求解dZKB方程。由于等离子体基本参数的变化(如绝热、超热、粘度、离子温度、倾角、磁场强度、附着在尘埃颗粒上的电荷量、离子中性碰撞频率等),DIAWs的基本属性受到显著影响。此外,在分岔分析中已经证实,相反带电尘粒的共存对线性和非线性DIAWs的动力学都有显著的影响。如果灰尘上的正电荷量大于负电荷量,则DIAWs的极性会发生变化,反之亦然。本研究结果可用于研究实验和空间尘埃等离子体中DIAWs的性质,其中存在极性相反的尘埃颗粒,热离子的绝热压力和离子中性碰撞引起的阻尼是负责的。
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Nonlinear Dynamics of Dust-Ion-Acoustic Waves in Magnetized Collisional Opposite Polarity Dusty Plasmas
A four-component magnetized collisional superthermal opposite polarity dusty plasma (OPDP), containing stationary dust grains of opposite charges, inertial ion fluid, and non-inertial superthermal electrons, has been considered to study different modes of dust-ion-acoustic waves (DIAWs) theoretically and numerically. In addition, the collisional effect between ion and neutral particles and the temperature effect of adiabatic warm ions have been taken into account to draw a more generalized picture of DIAWs. To investigate the growth, evaluation, propagation, and fundamental features (e.g., speed, amplitude, energy, width, etc.) of DIAWs, the reductive perturbation theory has been employed to derive the damped Zakharov-Kuznetsov-Burgers (dZKB) equation, and the hyperbolic tangent method is adopted to find the solution of dZKB equation. The fundamental attributes of DIAWs are seen to be affected significantly due to the variation of basic plasma parameters (e.g., adiabaticity, superthermality, viscosity, ion temperature, obliquity angle, magnetic field intensity, the amount of charge residing onto the dust grains, ion-neutral collision frequency, etc.). In addition, the coexistence of oppositely charged dust grains has a notable effect on the dynamics of linear and nonlinear DIAWs, which has been established in the bifurcation analysis. The polarity of the DIAWs changes if the amount of positive charge on dust is excessively greater than that of negative charge and vice versa. The findings of this research work may be apply to examine the properties of DIAWs in experimental and space dusty plasmas, where the opposite polarity dust grains are present, adiabatic thermal pressure of warm ion and damping due to ion-neutral collision are accountable.
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