El-Taibany W F, Karmakar P K, Beshara A A, El-Borie M A, Gwaily S A, Atteya A
Department of Physics, Faculty of Science, Damietta University, P.O. Box 34517, New Damietta, Egypt.
Department of Physics, Tezpur University, Napaam, Tezpur, 784 028, India.
Sci Rep. 2022 Nov 9;12(1):19078. doi: 10.1038/s41598-022-23768-8.
Notably, solitary waves that emerge from the nonlinear properties of plasmas are the main focus of many current studies of localized disturbances in both laboratory and astrophysical plasmas. By applying the reductive perturbation method, we derive the nonlinear homogeneous quantum Zakharov-Kuznetsov (QZK) equation in three-component collisionless quantum plasma consisting of electrons, positrons, and ions in the presence of an external static magnetic field. The solitary wave structures are dependent on the Bohm potential, magnetic field, obliqueness, species Fermi temperatures, and densities. The soliton's electric field and energy are also derived and investigated, which were found to be reduced as the magnetic field increases. The instability growth rate is also derived by using the small-k perturbation expansion method. The previous parameters affect the instability growth rate as well. A comparison of the energy and instability growth rate behaviour against system parameters is carried out. Large energy and large instability growth rate occur at large values of positron density or lower values of ion density. At zero or small rotation angle, both decrease as the magnetic field increases. Our findings could help us understand the dynamics of magnetic white dwarfs, pulsar magnetospheres, semiconductor plasma, and high-intensity laser-solid matter interaction experiments where e-p-i plasma exists.
值得注意的是，由等离子体的非线性特性产生的孤立波是当前许多关于实验室和天体物理等离子体中局部扰动研究的主要焦点。通过应用约化摄动法，我们在存在外部静磁场的情况下，推导了由电子、正电子和离子组成的三分量无碰撞量子等离子体中的非线性齐次量子 Zakharov-Kuznetsov（QZK）方程。孤立波结构取决于玻姆势、磁场、倾斜度、粒子种类的费米温度和密度。还推导并研究了孤子的电场和能量，发现它们随着磁场的增加而减小。通过使用小 k 扰动展开法也推导了不稳定性增长率。上述参数也会影响不稳定性增长率。对能量和不稳定性增长率行为与系统参数进行了比较。在正电子密度较大或离子密度较低时会出现大能量和大不稳定性增长率。在零或小旋转角度下，两者都会随着磁场的增加而减小。我们的研究结果有助于我们理解磁白矮星、脉冲星磁层、半导体等离子体以及存在电子 - 正电子 - 离子等离子体的高强度激光 - 固体物质相互作用实验的动力学。
