Relaxation of a magnetized electron-positron-ion plasma with flows. (English) Zbl 1250.76188
Summary: It is shown that possible relaxed magnetic field configurations of a magnetized electron-positron-ion (e-p-i) plasma with flows can be described by a triple curl Beltrami (TCB) equation, which is equivalent to the superposition of three different Beltrami fields. The TCB equation admits three relaxed structures when the linear and nonlinear inertial forces of all three plasma species involved are taken into account. One of the structures represents the system size while the remaining two could be of the order of electron skin depth.
MSC:
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 82D10 | Statistical mechanics of plasmas |
References:
| [1] | Taylor, J. B., Rev. Mod. Phys., 58, 741 (1986) |
| [2] | Steinhauer, L. C.; Ishida, A., Phys. Rev. Lett., 79, 3423 (1997) |
| [3] | Mahajan, S. M.; Yoshida, Z., Phys. Rev. Lett., 81, 4863 (1998) |
| [4] | Iqbal, M., J. Plasma Phys., 71, 335 (2005) |
| [5] | Iqbal, M.; Berezhiani, V. I.; Yoshida, Z., Phys. Plasmas, 15, 032905 (2008) |
| [6] | Shukla, P. K.; Mahajan, S. M., Phys. Scr. T, 113, 151 (2004) |
| [7] | Yu, M. Y.; Shukla, P. K.; Stenflo, L., Astrophys. J., 309, L63 (1986) |
| [8] | Chen, K.; Ruderman, M., Astrophys. J., 402, 264 (1993) |
| [9] | Svensson, R., Astrophys. J. Suppl., 92, 585 (1994) |
| [10] | Sunyaev, R. A., Astrophys. J., 389, L75 (1992) |
| [11] | Burns, M. L., (Burns, M. L.; Harding, A. K.; Ramaty, A., Positron-Electron Pairs in Astrophysics (1983), AIP: AIP New York) |
| [12] | Begelman, M. C.; Blandford, R. D.; Rees, M. J., Rev. Mod. Phys., 56, 255 (1984) |
| [13] | Bulanov, S. S., Phys. Rev. E, 69, 036408 (2004) |
| [14] | Shukla, P. K.; Rao, N. N.; Yu, M. Y.; Tsintsadze, N. L., Phys. Rep., 135, 1 (1986) |
| [15] | Mahajan, S. M.; Berezhiani, V. I.; Miklaszewskii, R., Phys. Plasmas, 5, 3264 (1998) |
| [16] | Yoshida, Z., Nonlinear Science (2010), Springer: Springer Dordrecht · Zbl 1195.37004 |
| [17] | Chandrasekhar, S.; Kendall, P. C., Astrophys. J., 126, 457 (1957) |
| [18] | Yoshida, Z.; Giga, Y., Math. Z., 204, 235 (1990) · Zbl 0676.47012 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
