致密磁流体中的非线性离子声波
PDF下载 (399)杨建荣,毛润华,刘 萍.致密磁流体中的非线性离子声波[J].宁波大学学报(理工版),2020,33(5):22-25.DOI:
YANG Jianrong,MAO Runhua,LIU Ping.Nonlinear ion acoustic wave in dense magnetoplasma[J].Journal of Ningbo University(Natural Science & Engineering Edition),2020,33(5):22-25.DOI:
| Title: | Nonlinear ion acoustic wave in dense magnetoplasma |
| 作者: | 杨建荣, 毛润华, 刘 萍 |
| Author(s): | YANG Jianrong, MAO Runhua, LIU Ping |
| 关键词: | 磁化致密等离子体; 量子流体动力模型; 非线性离子声波; 函数变换法 |
| Keywords: | magnetized dense plasma; quantum hydrodynamic model; nonlinear ion acoustic wave; functional transformation method |
| 分类号: | O534 |
| 文献标识码: | A |
| 摘要: | 磁化致密等离子体系统中具有丰富的非线性波动现象. 针对非均匀系统, 采用量子流体动力模型并考虑非线性效应、碰撞效应和某些高阶偏导项等因素, 构建了离子和中子间的碰撞频率与场量的变化率不同大小情况下的非线性控制方程. 利用不同的函数变换关系得到了一系列非线性离子声波的解析解, 其结果为阐明现实中所观察到的有关物理现象提供了有益的理论参考. |
| Abstract: | There are manifold nonlinear fluctuations in magnetized dense plasma systems. For the nonuniform system, the nonlinear governing equations are established using the quantum hydrodynamic model and considering nonlinear effect, collision effect and some higher order derivatives, which are in the different cases of the collision frequency and the change rate of field. A series of nonlinear solutions of ion acoustic wave are obtained by employing different nonlinear functional transformations. These results provide useful theoretical references for describing the relevant real-world phenomena. |
| 参考文献 /References: | [1] 郑春开. 等离子体物理[M]. 北京: 北京大学出版社, 2009. [2] Stenflo L, Shukla P K, Marklund M. New low-frequency oscillations in quantum dusty plasmas[J]. Europhysics Letters, 2006, 74(5):844-846. [3] Haas F. Quantum Plasmas: An Hydrodynamic Approach [M]. New York: Springer, 2011. [4] Jung Y D. Quantum-mechanical effects on electron- electron scattering in dense high-temperature plasmas[J]. Physics of Plasmas, 2001, 8(8):3842-3844. [5] Opher M, Silva L O, Dauger D E, et al. Nuclear reaction rates and energy in stellar plasmas: The effect of highly damped modes[J]. Physics of Plasmas, 2001, 8(5):2454- 2460. [6] Manfredi G, Haas F. Self-consistent fluid model for a quantum electron gas[J]. Physical Review B, 2001, 64: 075316. [7] Becker K H, Schoenbach K H, Eden J E. Microplasmas and applications[J]. Journal of Physics D: Applied Physics, 2006, 39(3):R55-R70. [8] Shukla P K, Ali S. Dust acoustic waves in quantum plasmas[J]. Physics of Plasmas, 2005, 12(11):114502. [9] Kremp D, Bornath Th, Bonitz M, et al. Quantum kinetic theory of plasmas in strong laser fields[J]. Physical Review E, 1999, 60:4725-4732. [10] Markowich P A, Ringhofer C, Schmeiser C. Semi- conductor Equations[M]. New York: Springer, 1990. [11] Shukla P K, Rahman H U. Magnetohydrodynamics of dusty plasmas[J]. Physics of Plasmas, 1996, 3(1):430-431. [12] Haas F, Garcia L G, Goedert J, et al. Quantum ion- acoustic waves[J]. Physics of Plasmas, 2003, 10(10): 3858-3866. [13] Yang J R, Tang X Y, Gao X N, et al. Drift shocks, explosions and vortices in inhomogeneous quantum magnetoplasma[J]. Europhysics Letters, 2011, 94(4):45001. [14] 毛杰健, 杨建荣, 李超英. 非均匀量子等离子体中的非线性波[J]. 物理学报, 2012, 61(2):30-35. [15] Yang J R, Tang X Y, Lou S Y. Shocks, explosions, and vortices in two-dimensional homogeneous quantum magnetoplasma[J]. Physics of Plasmas, 2011, 18(2):022303. [16] Moslem W M, Ali S, Shukla P K, et al. Solitary, explosive, and periodic solutions of the quantum Zakharov- Kuznetsov equation and its transverse instability[J]. Physics of Plasmas, 2007, 14(8):082308. |
| 备注/Memo: | 收稿日期: 2020-07-07. 宁波大学学报(理工版)网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金(11865013, 11775047). 第一作者: 杨建荣(1966-), 女, 江西上饶人, 教授, 主要研究方向: 非线性等离子体物理. E-mail: sryangjr@163.com 宁波大学学报(理工版)网址:http://journallg.nbu.edu.cn/ |