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Erkaev, N. V.
Solution for jump conditions at fast shocks in an anisotropic magnetized plasma / N. V. Erkaev, D. F. Vogl, H. K. Biernat // J. Plasma Phys. - 2000. - Vol. 64. - P. 561-578, DOI 10.1017/S002237780000893X. - Cited References: 10 . - ISSN 0022-3778

РУБ Physics, Fluids & Plasmas
Рубрики:
MAGNETOSHEATH
Кл.слова (ненормированные):
Magnetic anisotropy -- Magnetic field effects -- Magnetohydrodynamics -- Plasma sheaths -- Plasma shock waves -- Plasma stability -- Pressure effects -- Thermal effects -- Alfven Mach number -- Anisotropic magnetized plasma -- Jump condition -- Magnetoplasma
Аннотация: We study the magnetic field and plasma parameters downstream of a fast shock as functions of normalized upstream parameters and the rate of pressure anisotropy (defined as the ratio of perpendicular to parallel pressure). We analyse two cases: with the shock (i) perpendicular and (ii) inclined with respect to the magnetic field. The relations on the fast, shock in a magnetized anisotropic plasma are solved taking into account the criteria for the mirror instability and firehose instability bounding the pressure anisotropy downstream of the shock. Our analysis shows that the parallel pressure and the parallel temperature as well as the tangential component of the velocity are the parameters that are most sensitive to the rate of pressure anisotropy. The variations of the other parameters, namely density, normal velocity, tangential component of the magnetic field, perpendicular pressure, and perpendicular temperature are much less pronounced, in particular when the perpendicular pressure exceeds the parallel pressure. The variations of all parameters increase substantially for a very low rate of anisotropy, which is bounded by the firehose instability in the case of inclined shocks. Using the criterion for mirror instability as a closure relation for the jump conditions at the fast shock, we obtain the plasma parameters and the magnetic field downstream of the shock as functions of the Alfven Mach number. For each Alfven Mach number, the criterion for mirror instability determines the minimum jumps in such parameters as density, tangential magnetic field component, parallel pressure, and temperature. and determines the maximum values of the velocity components and the perpendicular temperature. Ideal anisotropic magnetohydrodynamics (MHD) has wide applications for space plasma physics. Observations of the field and plasma behaviour in the solar wind as well as in the Earth's magnetosheath have highlighted the need for an MHD model where the plasma pressure is treated as a tensor.

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Держатели документа:
Russian Acad Sci, Inst Computat Modelling, Krasnoyarsk 660036, Russia
Austrian Acad Sci, Space Res Inst, A-8042 Graz, Austria
Graz Univ, Inst Geophys, A-8010 Graz, Austria
Graz Univ, Inst Theoret Phys, A-8010 Graz, Austria
ИВМ СО РАН
Institute of Computational Modelling, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation
Space Research Institute, Austrian Academy of Sciences, Schmiedlstra?e 6, A-8042 Graz, Austria
Institute for Geophysics, Astrophysics, and Meteorology, University of Graz, Universitatsplatz 5, 8010 Graz, Austria
Institute for Theoretical Physics, University of Graz, Universitatsplatz 5, 8010 Graz, Austria

Доп.точки доступа:
Vogl, D. F.; Biernat, H. K.; Еркаев, Николай Васильевич
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Erkaev, N. V.
Ideal magnetohydrodynamic flow around a blunt body under anisotropic pressure / N. V. Erkaev, H. K. Biernat, C. J. Farrugia // Phys. Plasmas. - 2000. - Vol. 7, Is. 8. - P. 3413-3420, DOI 10.1063/1.874205. - Cited References: 23 . - ISSN 1070-664X

РУБ Physics, Fluids & Plasmas
Рубрики:
MHD FLOW
   MAGNETOSHEATH
   DEPLETION
   CLOSURE
   FLUID
   MODEL
Аннотация: The plasma flow past a blunt obstacle in an ideal magnetohydrodynamic (MHD) model is studied, taking into account the tensorial nature of the plasma pressure. Three different closure relations are explored and compared with one another. The first one is the adiabatic model proposed by Chew, Goldberger, and Low. The second closure is based on the mirror instability criterion, while the third depends on an empirical closure equation obtained from observations of solar wind flow past the Earth's magnetosphere. The latter is related with the criterion of the anisotropic ion cyclotron instability. In the presented model, the total pressure, defined as the sum of magnetic pressure and perpendicular plasma pressure, is assumed to be a known function of Cartesian coordinates. The calculation is based on the Newtonian approximation for the total pressure along the obstacle and on a quadratic behavior with distance from the obstacle along the normal direction. Profiles of magnetic field strength and plasma parameters are presented along the stagnation stream line between the shock and obstacle of an ideal plasma flow with anisotropy in thermal pressure and temperature. (C) 2000 American Institute of Physics. [S1070- 664X(00)04407-4].

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Держатели документа:
Russian Acad Sci, Inst Computat Modelling, Krasnoyarsk 660036, Russia
Austrian Acad Sci, Space Res Inst, A-8042 Graz, Austria
Univ New Hampshire, Inst Study Earth Oceans & Space, Durham, NH 03824 USA
ИВМ СО РАН

Доп.точки доступа:
Biernat, H. K.; Farrugia, C. J.; Еркаев, Николай Васильевич
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