| PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES |
|
|
|
|
Traveling Wave Solutions of the Incompressible Ideal Hall Magnetohydrodynamics |
| Qi-Xin Wu, Zhen-Wei Xia, Wei-Hong Yang** |
Department of Modern Physics, University of Science and Technology of China, Hefei 230026
|
|
| Cite this article: |
|
Qi-Xin Wu, Zhen-Wei Xia, Wei-Hong Yang 2016 Chin. Phys. Lett. 33 065204 |
|
|
|
|
Abstract The solutions of incompressible ideal Hall magnetohydrodynamics are obtained by using the traveling wave method. It is shown that the velocity and magnetic field parallel to the wave vector can be arbitrary constants. The velocity and magnetic field perpendicular to the wave vector are both helical waves. Moreover, the amplitude of the velocity perpendicular to the wave vector is related to the wave number and the circular frequency. In addition, further studies indicate that, no matter whether the uniform ambient magnetic field exists or not, the forms of the travelling wave solutions do not change.
|
|
|
Received: 04 March 2016
Published: 30 June 2016
|
|
| PACS: |
52.30.Ex
|
(Two-fluid and multi-fluid plasmas)
|
| |
52.35.Bj
|
(Magnetohydrodynamic waves (e.g., Alfven waves))
|
|
|
|
|
|
| [1] | Alfvén H and F?lthammer C 1963 Cosmical Electrodynamics (Oxford: Clarendon Press) | | [2] | Parker E N 1979 Cosmic Magnetic Fields (Oxford: Clarendon Press) | | [3] | Frisch U, Pouquet A, Leorat J et al 1975 J. Fluid Mech. 68 769 | | [4] | Pouquet A, Frisch U and Leorat J 1976 J. Fluid Mech. 77 321 | | [5] | Malekynia B and Razavipour S S 2013 Chin. Phys. B 22 055202 | | [6] | WU D J and Yang L 2006 Chin. Phys. Lett. 23 2155 | | [7] | Iroshnikov P S 1964 Soviet Astron. 7 566 | | [8] | Kraichnan R H 1965 Phys. Fluids 8 1385 | | [9] | Stribling T and Matthaeus W H 1990 Phys. Fluids B 2 1979 | | [10] | Shebalin J V, Matthaeus W H and Montgomery D 1983 J. Plasma Phys. 29 525 | | [11] | Goldstein M L, Roberts D A and Matthaeus W H 1995 Annu. Rev. Astron. AstroPhys. 33 283 | | [12] | Mininni P D, Gómez D O and Mahajan S M 2002 Astrophys. J. 567 L81 | | [13] | Mininni P D, Gómez D O and Mahajan S M 2003 Astrophys. J. 587 472 | | [14] | Matthaeus W H, Dmitruk P, Smith D et al 2003 Geophys. Res. Lett. 30 2104 | | [15] | Sahraoui F, Galtier S and Belmont G P 2007 J. Plasma Phys. 73 723 | | [16] | Xia Z W and Yang W H 2015 Phys. Plasmas 22 032306 | | [17] | Mahajan S M and Krishan V 2005 Mon. Not. R. Astron. Soc. 359 L27 | | [18] | Krishan V and Mahajan S M 2004 Sol. Phys. 220 29 | | [19] | Krishan V and Mahajan S M 2004 J. Geophys. Res. 109 A11105 | | [20] | Servidio S, Matthaeus W H and Carbone V 2008 Phys. Plasmas 15 042314 | | [21] | Meyrand R and Galtier S 2012 Phys. Rev. Lett. 109 194501 | | [22] | Li Z B and Wang M L 1993 J. Phys. A 26 6027 | | [23] | Parkes E J and Duffy B R 1997 Phys. Lett. A 229 217 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
