ABSTRACT

Multi-dimensional instability of ion acoustic solitary waves (IASWs) in a magnetized, collisionless, degenerate multi-ion plasma system with trapping distributed electrons in the presence of a quantizing magnetic field has been theoretically investigated. The dispersion properties of the linear IASWs are discussed. The dynamics of the nonlinear Zakharo-Kuznetsov (ZK) equation is also analyzed for investigation of the solitary waves. The effects of the trapped electrons, the electron temperature and the mass-to-charge for positive to negative ions on the phase velocity are discussed. Only compressive solitary waves are produced, those are affected by the system parameters like the number density ratio of negative to positive ions and the polarization effect. The waves growth rate is calculated. The effects of the previous plasma parameters on the instability growth rate are also discussed. The present investigation could be helpful in understanding the propagation and the instability of the detected IASWs waves in magnetized multi-ion plasmas which are observed in dense quantum plasmas such as those existing in white dwarfs and in the intense-laser plasma interactions where the trapping and the polarization effects are important.

摘要

理论上研究了在量子化磁场存在下捕获分布电子的磁化、无碰撞、简并多离子等离子体系统中离子声孤立波 (IASW) 的多维不稳定性。讨论了线性 IASW 的色散特性。还分析了非线性 Zakharo-Kuznetsov (ZK) 方程的动力学，以研究孤立波。讨论了俘获电子、电子温度和正负离子的质荷比对相速度的影响。仅产生压缩孤立波，受系统参数的影响，如负离子与正离子的数密度比和极化效应。计算波浪增长率。还讨论了先前等离子体参数对不稳定性生长速率的影响。目前的研究可能有助于理解在磁化多离子等离子体中检测到的 IASW 波的传播和不稳定性，这些在密集量子等离子体中观察到，例如存在于白矮星中的那些以及在强激光等离子体相互作用中，其中捕获和极化效应很重要。