Математическое моделирование МГД волн, распространяющихся вдоль тонких магнитных трубок
Диссертация
Альфвеновские волны играют важную роль в космической плазме, осуществляя перенос возмущений электрического поля вдоль магнитных силовых линий в различные точки пространства. Поэтому изучение условий генерации и распространения альфвеновских волн является актуальной проблемой, имеющей большое прикладное значение. В частности, геомагнитные пульсации, регистрируемые на уровне ионосферы Земли… Читать ещё >
Список литературы
- Гульельми А. В., Троицкая В. А., Геомагнитные пульсации и диагностика магнитосферы. — М.: Наука, 1973 .
- Dungey J. W., Electrodynamics of the outer atmosphere, Pensilvania State University Sci. Report No. 57, p. 1954.
- Беспалов П. А., Трахтенгерц В. Ю., Альфвеновские мазеры. АНС-ССР, Горький, 1986.
- Шайдуров В.А. Распространение медленных МГД волн вдоль тонких магнитных трубок // Математические модели и методы их исследования Красноярск, 2001, с. 258−263 .
- Erkaev N. V., Semenov V. S., Shaidurov V. A., Langmayr D., Biernat H. K., and Rucker H. O., Investigation of MHD slow shocks propagating along the Io flux tube //International Journal of Geomagnetism and Aeronomy 2002, 3, p. 67−76.
- Erkaev N. V., Shaidurov V. A., Semenov V. S., and Biernat H. K., Effects of MHD slow shocks propagating along magnetic flux tubes in a dipole magnetic field //Nonlinear processes in Geophysics 2002 — 9, p. 163−172.
- Erkaev N. V., Semenov V. S., Shaidurov V. A., Langmayr D., Biernat H. K., and Rucker H. O., Propagation of nonlinear slow waves produced by pressure pulses along the Io flux tube // Adv. Space Research 2001 — 28, p. 1481−1488.
- Erkaev N. V., Semenov V. S., Shaidurov V. A., Langmayr D., Biernat H. K., and Rucker H. O., Effects of MHD slow shocks propagating along the Io flux tube //Planetary Radio Emissions V / Eds.: H. O. Rucker, M.
- Kaiser, and Y. Leblanc Austrian Academy of Science Press, Vienna, 2001, p. 389−395.
- Erkaev N. V. and Shaidurov V. A., Low beta approximation for MHD slow waves in a curved magnetic field // Proceedings of IV International Conference on Problems of Geocosmos S.-Petersburg, 2002, p. 50−54.
- Калсруд P., Магнитогидродинамическое описание плазмы // Основы физики плазмы, в 2- ух тт, под ред. А. А. Галеева, Р. Судана, М.: Энергоатомиздат, 1983, т. 1, с. 122 .
- Пикельнер С. Б., Основы космической элекродинамики, М.: Физмат-гиз, 1961 .
- Сондерс М., Магнитосфера Земли //Космическая магнитная гидродинамика /под ред. Э. Приста, А. Худа, пер. с англ., М.: Мир, 1995, с. 366.
- Прист Э., Введение в магнитную гидродинамику солнечной системы // Космическая магнитная гидродинамика / под ред. Э. Приста, А. Худа, пер. с англ., М.: Мир, 1995, с. 9 .
- Э. Прист, Солнечная магнитогидродинамика, пер. с англ., М.: Мир, 1985 .
- Defouw R. J., Wave propagation along a magnetic tube // Astrophys. J. 1976 — 209, p. 266 .
- Spruit H. C., Motion of magnetic flux tubes in the solar convection zone and chromosphere //Astron. Astrophys. 1981 — 98, p. 155.
- Rae I. C., and Roberts В., Pulse propagation in a magnetic flux tube ЦAstrophys. jf 1982 — 256, p.761 .
- A. Ferriz-Mas, Nonlinear flows along magnetic flux tubes: Mathematical structure and exact simple wave solutions // Phys. Fluids 1988 — 31, p. 2583 .
- Fisher G. H., Fan Y., Longcope D. W., Linton M. G., and Abbett W. P., Magnetic flux tubes inside the sun //Physics of Plasmas 2000 — 7, p. 2173.
- Nakariakov V. M. and Ofman L., Determination of the coronal magnetic field by coronal loop oscillations //Astron. Astophys. 2001. — 372, p.53.
- De Pontieu В., Martens P. С. H., and Hudson H. S., Chromosphere Damping of Alfven waves //Astrophys. J. 2001- 558, p. 859.
- Southwood D. J. and Saunders M. A., Curvature coupling of slow and Alfv6n MHD waves in a magnetotail field configuration //Planet Space Sci. 1985 — 33, p. 127.
- A. D. M. Walker, Theory of magnetospheric standing hydromagnetic waves with large azimuthal wave number. Coupled magnetosonic and Alton waves //J. Geophys. Res. 1987 — 92, p.10 039.
- Климушкин Д. Ю., Пространственная структура азимутально-мелкомасштабных гидромагнитных волн в аксиально-симметричной магнитосфере с конечным давлением плазмы 1997 — Т. 23, 10, с. 931 .
- Klimushkin D. Y., Theory of azimuthally small scale hydromagnetic waves in the axisymmetric magnetosphere with finite plasma pressure //Ann. Geophys. 1998 — 16, p. 303.
- Klimushkin D. Y., The propagation of high-m Alfven waves in the Earth’s magnetosphere and their interaction with high-energy particles // J. Geophys. Res. 2000 — 105, p. 23 303 .
- Southwood D. J., Some features of field line resonances in the magnetosphere // Planet. Space Sci. -1974 22, p. 483 .
- Graham J. Rickard and Andrew N. Wright, Alfven resonance exitation and fast wave propagation in ionospheric waveguides //J. Geophys,¦ Res.- 1994 99, p. 13 455 .
- Leonovich A. S. and Mazur V. A., structure of magnetospheric eigenoscillations of an axisymmetric magnetosphere //J. Geophys. Res.- 2000 105, p. 27 707 .
- Ландау Л. Д., Лифшиц Е. М., Электродинамика сплошных сред. -М: Наука, 1982 .
- Freidberg J. P., Ideal Magnetohydrodynamics. New York: Plenum Press, 1987.
- Akhiezer A. I., Akhiezer I. A., Polovin R. V., Sitenko A. G., and Stepanov K. N., Plasma Electrodynamics Pergamon Press, Oxford, 1975.
- Куликовский А. Г., Любимов Г. А., Магнитная гидродинамика, М.: Физматгиз, 1962 .
- Khurana К. К., Euler potential models of Jupiter’s magnetic field, «7. Geophys. Res. 1997 — 102, p. 11 295.
- Pudovkin M. S., and Semenov V. S., Stationary frozen-in coordinate system //Ann. Geophys. 1977 — 33, p. 429.
- Erkaev N. V., Farrugia C. J., Biernat H. K., Burlaga L. F., and Bachmaier G. A., Ideal MHD flow behind interplanetary shocks driven by magnetic clouds // J. Geophys. Res. 1995 — 100, p. 19 919.
- Erkaev N. V., Farrugia C. J., Biernat H. K., Effects on the Jovian magnetosheath arising from solar wind flow around non-axial bodies // J. Geophys. Res. 1996 — 101, p. 10 665 .
- Erkaev N. V., Farrugia C. J., Biernat H. K., Three-dimensional, one-fluid, ideal MHD model of magnetosheath flow with anisotropic pressure //J. Gephys. Res. 1999 — 104, A4, p. 6877.
- Erkaev N. V., Biernat H. K., Farrugia C. J., Ideal magnetohydrodynamic flow around a blunt body under anisotropic pressure // J. Gephys. Res.- 2000 7, p. 3413.
- Farrugia C. J., Erkaev N. V., Biernat H. K., Lawrence G. R., Elphic R. C., Plasma depletion layer model for low Alfven Mach number: Comparisom with ISEE observations // J. Geophys. Res. 1997 — 102, A6, p. 11 315 .
- Farrugia C. J., Biernat H. K, Erkaev N. V., Kistler L- M., Le G., Russell С. Т., MHD model of magnetosheath flow: comparison with AMPTE/IRM observations on 24 October, 1985 // Ann.. Geophysicae- 1998 16, p. 518.
- Biernat H. K., Erkaev N. V. and Farrugia C. J., Aspects of MHD flow about Venus // J. Geophys. Res. 1999 — 104, p. 12 617.
- Biernat H. K., Erkaev N. V. and Farrugia C. J., MHD effects in the Venus magnetosheath including mass loading // Adv. Space Res. 2001 — 28, 6, p. 833 .
- Semenov V. S., Erkaev N. V. MHD Analysis in Terms of Non-Linear String Equations //Solar Wind-Magnetosphere Interactions/ M. F. Heyn, H. K. Biernat, V. S. Semenov, R. P. Rinbeek (editors) Austria, Vienna, 1992.
- Edwin P. M., and Roberts В., Wave propagation in a magnetic cylinder //Solar Phys. 1983 -88, p. 179.
- Chandrasekhar S., Hydrodynamic and hydromagnetic stability. London: Oxford University Press, 1968.
- Поттер Д., Вычислительные методы в физике: Пер. с англ. М.: Мир, 1975.
- Scholer, М., On the motion of artificial ion clouds in the magnetosphere // Planet Space Sci. 1970 — 18, p. 977.
- Leonovich A. S. and Mazur V. A., An electromagnetic field induced in the Earth’s ionosphere and atmoshere and on the Earth’s surface by low-frequency Alfv? n oscillations of the magnetosphere: General theory // Planet. Space Sci. 1991 — 39, p. 529.
- Mcllwain С. E., Coordinates for mapping the distribution of magnetically trapped particles //J. Geophys. Res. 1961 — 66, p. 3681 .
- Priest E., Forbes Т., Magnetic Reconnection. Cambridge University Press, 2000.
- Пудовкин M. И., Семенов В. С., Теория пересоединения и взаимодей-. ствие солнечного ветра с магнитосферой Земли М.: Наука, 1985.
- Berchem J., and Russell С. Т., Flux transfer events on the magnetopause: Spatial distribution and controlling factors //J. Geophys. Res. 1984 -89, p. 6689.
- Rijnbeek R. P., Cowley S. W. H., Southwood D. J., and Russell С. Т., A survey of flux transfer events observed by ISEE 1 and 2 magnetometers // J. Geophys. Res. 1984 — 89, p. 786.
- Baumjohann W., Paschmann G., Luehr H., Characteristics of high-speed ion flows in the plasma sheet // J. Geophys. Res. 1990 — 95, No. A4, p. 3801.
- Мишин В. В., Матюхин Ю. Г., Неустойчивость Кельвина- Гельмголь-ца на магнитопаузе как возможный источник волновой энергии в магнитосфере Земли // Геомагнетизм и аэрономия 1986 — 26, 6, с. 952.
- Takahashi К., Kokubun S., Sakurai, McEntire, Potemra T.A., and Lopez R.E., Ampte/CCE observations of substorm-associated standing Alfven waves in the midnight sector // Geophys. Rs. Lett. 1988 — 15, 11, p. 1287.
- Shiokawa K., Baumjohann W., and Haerendel G., braking of high-speed flows in the near-Earth tail// Geophys. Res. Lett. -1997−24,10, p. 1179.
- Frank 1. A., Paterson W. K., and Sigwarth J. В., Observations of plasma sheet dynamics earthward of the onset region with the geotail spacecraft Ц J. Geophys. Res. 2001 — 106, A9, p. 18 823.
- Baumjohann W., Bauer O.H., Haerendel G., and Junginger, Amata E., Magnetospheric plasma drifts during a sudden imoulse //J. Geophys. Res. 1983 — 88, All, p. 9287.
- Baumjohann W., Modes of convection in the magnetotail //Phys. Plasmas 2002, 9, No 9, p. 3665.
- Langmayr D., Shaidurov V. A., Erkaev N. V., Biernat H. K., Rucker H., MHD waves induced by pressure pulses in a magnetized plasma // Solar Planetary Relations / Eds. H. K. Biernat et al. Verlag Research Signpost, (Trivandrum, Indien), 2004, in press.
- Langmayr D., Erkaev N. V., Semenov V. S., Macher W., Biernat H. K., and Rucker H. O. Analysis of a pressure disturbances in a homogeneous magnetic field // Adv. Space Res. 2003, in press.
- Баранов В.Б., Краснобаев К. В., Гидродинамическая теория космической плазмы М.: Наука, 1977.
- Godunov S. К. and Ryabenkii V. S., Difference Schemes: an Introduction to the Underlying Theory. Amsterdam, North-Holland, 1987.
- Mei Y., Thorne R. M., and Bagenal F., Analytic model for the density distribution in the Io plasma torus///. Geophys. Res. 1995 — 100, A2, p. 1823.
- Bagenal F., Alton wave propagation in the Io plasma torus //J. Geophys. Res. 1983 — 88, p. 3013.
- Bagenal F., and Leblanc Y., Io’s Alton wave pattern and the Jovian decametric arcs /fAstron. Astrophys. 1988 — 197, p. 311 .
- Bagenal F., Empirical model of the Io plasma torus: Voyager measurements //J. Geophys. Res. 1994 — 99, p. 11 043.
- Bagenal, F., Galileo measurements of plasma density in the Io torus //Geophys. Res. Lett. 1997 — 24, p. 2119.
- Krisko P, H., and Hill T. W., Two-dimensional model of a slow-mode expansion fan at Io //Geophys. Res. Lett.- 1991 18, No. 11, p. 1947 .
- Brown M. E., and Bouchez A. H., The response of Jupiter’s magnetosphere to an outburst on Io //Science 1997 — 278, p. 268 .
- Neubauer F. M., Nonlinear standing Alfven wave current system at Io: Theory // J. Geophys. Res. 1980 — 85, p.1171.
- Neubauer F. M. The sub-Alfvenic interaction of the Galilean satellites with the Jovian magnetosphere //J. Geophys. Res. 1998 — 103, p. 19 843.
- Combi M. R., Gombosi Т. I., and DeZeeuw D. L., Io’s plasma environment during the Galileo flyby: Global threedimensional MHD modelling with adaptive mesh refinement // J. Geophys. Res. 1998- 103, p. 9071 .
- Frank L. A., Paterson W. R., Ackerson K. L., Vasyliunas V. M., Coronity F. V., and Bolton S. J., Plasma observations at Io with the Galileo spacecraft // Science 1996 — 274, p.394 .
- Menietti J. D., and Curran D. В., Instantaneous Io flux tube as the source of Jovian DAM: Possible second harmonic emissions //J. Geophys. Res.- 1990 95, A12, p. 21 273.
- Roonmark K. and Hamrin M., Auroral Electron acceleration by Alfven waves and electrostatic fields // J. Geophys. Res. 2000 — 105, p. 25 333.
- Hinson D. P., Twicken J. D., and Karayel E. Т., Jupiter’s ionosphere: New results from Voyager 2 radio occultation measurements //J. Geophys. Res. 1998 — 103, p. 9505.
- Kopp A., Modification of the electrodynamic interaction between Jupiter and Io due to mass loading effects // J. Geophys. Res. 1996 — 101, No. All, p. 24 943.
- Linker J. A., Kivelson M. G., and Walker R. J., A three-dimensional MHD simulation of plasma flow past Io //"/. Geophys. Res. 1991 — 96, A12, p. 21 037.
- Bigg E. K., Influence of the satellite Io on Jupiter’s decameter emission // Nature 1964 — 203, p.1008.
- Connerney J. E. R, Sato Т., and Clarke J. Т., Tracking the Io flux tube footpoints // Report presented at 'The 31st Annual Meeting of the A AS Division for Planetary Sciences', 10−15 October 1999, Padova, Italy, p. 1185.
- Genova F., and Aubier M. G., Io-dependent sources of the Jovian decametric emission // Astron. Astrophys. 1985 — 150, p. 139.
- Aubier M. G., Calvert W., and Genova F., Source location of Jupiter’s Io dependent radio emissions // Planetary Radio Emissions II / edited by H. O. Rucker, S. J. Bauer, and В. M. Pedersen, Austrian Academy of Science, Graz, Austria, 1988, p. 113.
- Queinnec J., and Zarka P., Io-controlled arcs and Io-Jupiter interaction // J. Geophys. Res. 1998 — 103, All, p. 26 649.