Can an isotropic plasma pressure distribution be in force balance with the T96 model field?

Journal of Geophysical Research: Space Physics

Volumn 108, Issue A11, 2003, Pages

  Zaharia, Sorin ^a,b   Cheng, C Z ^a,b  

^a PRINCETON PLASMA PHYSICS LABORATORY   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

3 D equilibrium; Empirical models; Force balance; Plasma pressure

Indexed keywords

EID: 84905330242     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2002JA009501     Document Type: Article

References (69)

1. Alexeev, I.I., E. S. Bclenkaya, V. V. Kalegaev, Y. I. Feldstein, and A. Grafe, Magnetic storms and magnetotail currents, J. Geophys. Res., 101, 7737, 1996.
2. Antonova, E. E., and N. Y. Ganyushkina, Reconstruction of large-scale azimuthal pressure gradients in the magnetosphere from field-aligned current data, Geomagn. Aeron., Engl, transl., 35, 610, 1996.
3. Arfken, G. B., Mathematical Methods for Physicists, 815 pp., Academic, San Diego, Calif, 1985.
4. Baumjohann, W., and G. Paschmann, Determination of the polytropic index in the plasma sheet, Geophys. Res. Lett., 16, 295, 1989.
5. Baumjohann, W., G. Paschmann, and C. A. Cattrell, Average plasma properties in the central plasma sheet, J. Geophys. Res., 94, 6597, 1989.
6. Birn, J., R. R. Sommer, and K. Schindler, Self-consistent theory of the quiet magnctotail in three dimensions, J. Geophys. Res., 82, 147, 1977.
7. Boonsiriseth, A., R. M. Thorne, G. Lu, V. K. Jordanova, M. F. Thomsen, D. M. Ober, and A. J. Ridley, A semiempirical equatorial mapping of AMIE convection electric potentials (MACEP) for the January 10, 1997, magnetic storm, J. Geophys. Res., 106, 12,903, 2001.
8. Cao, F., and L. C. Lee, Plasma pressure and anisotropy inferred from the Tsyganenko magnetic-field model, Ann. Geophys., 12, 286, 1994.
9. Cheng, C. Z., Magnetospheric equilibrium with anisotropic pressure, J. Geophys. Res., 97, 1497, 1992.
10. Cheng, C. Z., Three-dimensional magnetospheric equilibrium with isotropic pressure, Geophys. Res. Lett., 22, 2401, 1995.
11. Cheng, C. Z., and S. Zaharia, Field line resonances in quiet and disturbed time three-dimensional magnetospheres, J. Geophys. Res., 108(A1), 1001, doi:10.1029/2002JA009471, 2003.
12. De Michelis, P., I. A. Daglis, and G. Consolini, An average image of proton plasma pressure and of current systems in the equatorial plane derived from AMPTE/CCE-CHEM measurements, J. Geophys. Res., 104, 28,615, 1999.
13. Ding, C., T. W. Hill, and F. R. Toffoletto, Magnetic mapping and Birkeland currents in the Toffoletto-Hill and Tsyganenko magnetosphere models, J. Geophys. Res., 99, 17,343, 1994.
14. Donovan, E. F., Modeling the magnetic effects of field-aligned currents, J. Geophys. Res., 98, 13,529, 1993.
15. Elphinstone, R. D., D. Heam, J. S. Murphree, and L. L. Cogger, Mapping using the Tsyganenko long magnetospheric model and its relationsphip to Viking auroral images, J. Geophys. Res., 96, 1467, 1991.
16. Hackbusch, W., Elliptic Differential Equations, Theory and Numerical Treatment, Springer-Verlag, New York, 1992.
17. Hall, L. S., and B. McNamara, Three-dimensional equilibrium of the anisotropic, finite-pressure guiding-center plasma, Phys. Fluids, 18, 552, 1975.
18. Hesse, M., and J. Birn, Three-dimensional MHD modeling of magnctotail dynamics for different polytropic indices, J. Geophys. Res., 97, 3965, 1992.
19. Hesse, M., and J. Bim, Three-dimensional magnetotail equilibria by numerical relaxation techniques, J. Geophys. Res., 98, 3973, 1993.
20. Hill, T. W., and G. H. Voigt, Limits on plasma anisotropy in a tail-like magnetic field, Geophys. Res. Lett., 19, 2441, 1992.
21. Hori, T., K. Maezawa, Y. Saito, and T. Mukai, Average profile of ion flow and convection electric field in the near-Earth plasma sheet, Geophys. Res. Lett., 27, 1623, 2000.
22. Horton, W., L. Cheung, J. Y. Kim, and T. Tajima, Self-consistent plasma pressure tensors from the Tsyganenko magnetic field models, J. Geophys. Res., 98, 17,327, 1993.
23. Iijima, T., and T. A. Potemra, The amplitude distribution of field-aligned currents at northern high latitudes observed by Triad, J. Geophys. Res., 81, 2165, 1976a.
24. Iijima, T., and T. A. Potemra, Field-aligned currents in the dayside cusp observed by Triad, J. Geophys. Res., 81, 5971, 1976b.
25. Kan, J. R., W. Sun, and W. Baumjohann, A hybrid equation of state for the quasi-static central plasma sheet, Geophys. Res. Lett., 19, 421, 1992.
26. Kropotkin, A. P., and A. T. Y. Lui, Quasi-static evolution of the magnetosphere: The substorm growth phase, J. Geophys. Res., 100, 17,231, 1995.
27. Lu, G., G. L. Siscoe, A. D. Richmond, T. I. Pulkkincn, N. A. Tsyganenko, H. J. Singer, and B. A. Emery, Mapping of the ionospheric field-aligned currents to the equatorial macnetosphcre, J. Geophys. Res., 102, 14,467, 1997.
28. Lui, A. T. Y., and D. C. Hamilton, Radial profiles of quiet time magnetospheric parameters, J. Geophys. Res., 97, 19,325, 1992.
29. Lui, A. T. Y., H. E. Spence, and D. P. Stern, Empirical modeling of the quiet time nightside magnetosphere, J. Geophys. Res., 99, 151, 1994.
30. Mead, G. D., and D. H. Fairfield, A quantitative magnetospheric model devised from spacecraft magnetometer data, J. Geophys. Res 80 523, 1975.
31. Nakamura, M., G. Paschmann, W. Baumjohann, and N. Sckopke, Ion distributions and flows near the neutral sheet, J. Geophys. Res., 96, 5631, 1991.
32. Nötzel, A., K. Schindler, and J. Bim, On the cause of approximate pressure isotropy in the quiet near-Earth plasma sheet, J. Geophys. Res., 90, 8293, 1985.
33. Northrop, T., The Ailiabatic Motion of Charged Particles, 56 pp., Wiley- Interscience, Hoboken, N. J., 1963.
34. Ober, D. M., N. C. Maynard, W. J. Burke, J. Moen, A. Egeland, P. E. Sandholt, C. J. Farrugia, E. J. Weber, and J. D. Scuddcr, Mapping pre-noon auroral structures to the magnetosphere, J. Geophys. Res., 105, 27,519,2000.
35. Olson, W. P., and K. A. Pfitzer, Quantitative model of magnetospheric magnetic-field, J. Geophys. Res., 79, 3739, 1974.
36. Ostapenko, A. A., and Y. P. Maltsev, Relation of the magnetic field in the magnetosphere to the geomagnetic and solar wind activity, J. Geophys. Res., 102, 17,467, 1997.
37. Peredo, M., D. P. Stern, and N. A. Tsyganenko, Are existing magnetospheric models excessively stretched?, J. Geophys. Res., 98, 15,343, 1993.
38. Peymirat, C, and D. Fontaine, A numerical method to compute Euler potentials for nondipolar magnetic fields, Ann. Geophys., 17, 328, 1999.
39. Pulkkinen, T. I., D. N. Baker, R. J. Pellinen, J. S. Murphree, and L. A. Frank, Mapping of the auroral oval and individual arcs during substorms, J. Geophys. Res., 100, 21,987, 1995.
40. Rostoker, G., and S. Skone, Magnetic flux mapping considerations in the auroral oval and the Earth's magnetotail, J. Geophys. Res., 98, 1377, 1993.
41. Sergeev, V. A., and M. V. Malkov, Diagnostics of the magnetic configuration of the plasma layer from measurements of energetic electrons above the ionosphere, Geomagn. Aeron., 28, 549, 1988.
42. Sergeev, V. A., M. Malkov, and K. Mursula, Testing the isotropic boundary algorithm method to evaluate the magnetic field configuration in the tail, J. Geophys. Res., 98, 7609, 1993.
43. Sibeck, D. G., R. E. Lopez, and E. C. Roelof, Solar wind control of the magnetopause shape, location, and motion, J. Geophys. Res., 96, 5489, 1991.
44. Spence, H. E., and M. G. Kivelson, Contributions of the low-latitude boundary layer to the finite width magnetotail convection model, J. Geophys. Res., 98, 15,487, 1993.
45. Spence, H. E., M. G. Kivelson, and R. J. Walker, Static magnetic field models consistent with nearly isotropic plasma pressure, Geophys. Res. Lett., 14, 872, 1987.
46. Spence, H. E., M. G. Kivelson, R. J. Walker, and D. J. McComas, Magnetospheric plasma pressures in the midnight meridian: Observations from 2.5 to 35 RE, J. Geophys. Res., 94, 5264, 1989.
47. Stern, D., Geomagnetic Euler potentials, J. Geophys. Res., 72, 3995, 1967.
48. Stern, D., Euler potentials, Am. J. Phys., 38, 494, 1970.
49. Stern, D., Representation of magnetic fields in space, Rev. Geophys., 14, 199, 1976.
50. Stern, D. P., The art of mapping the magnetosphere, J. Geophys. Res., 99, 17,169, 1994a.
51. Stern, D. P., Euler potentials of current-free fields expressed in spherical harmonics, J. Geophys. Res., 99, 2443, 1994b.
52. Stiles, G. S., J. E. W. Hones Jr., S. J. Bame, and J. R. Asbridge, Plasma sheet pressure anisotropics, J. Geophys. Res., 83, 3166, 1978.
53. TofToletto, A. E, J. Birn, M. Hesse, R. W. Spiro, and R. A. Wolf, Modeling inner magnetospheric electrodynamics, in Proceedings of the Chapman Conference on Space Weather, edited by P. Song, G. L. Siscoe, and H. J. Singer, pp. 265-272, AGU, Washington, D. C, 2001.
54. Tsyganenko, N. A., Global quantitative models of the geomagnetic field in the cislunar magnetosphere for different disturbance levels, Planet. Space Sci., 35, 1347,1987.
55. Tsyganenko, N. A., A magnetospheric field model with a warped tail current sheet, Planet. Space Sci., 37, 5, 1989.
56. Tsyganenko, N. A., Quantitative models of magnetospheric magnetic field: Methods and results, Space. Sci. Rev., 54, 75, 1990.
57. Tsyganenko, N. A., A global analytical representation of the magnetic field produced by the region 2 Birkeland currents and the partial ring current, J. Geophys. Res., 98, 5677, 1993.
58. Tsyganenko, N. A., Modeling the Earth's magnetospheric magnetic field confined within a realistic magnetopause, J. Geophys. Res., 100, 5599, 1995.
59. Tsyganenko, N. A., and D. P. Stem, Modeling the global magnetic field of the large-scale Birkeland current systems, J. Geophys. Res., 101, 27,187, 1996.
60. Vasyliunas, V. M., Mathematical models of magnetospheric convection and its coupling to the ionosphere, in Particles and Fields in the Magnetosphere, edited by B. M. McCormac, D. Reidel, Norwell, Mass., 1970.
61. Vasyliunas, V. M., Fundamentals of current description, in Magnetospheric Currents, Geophys. Monogr. Ser., vol. 28, edited by T. A. Potemra, pp. 63-66, AGU, Washington, D. C, 1984.
62. Voigt, G.-H., Field line twist and field-aligned currents in an axially symmetric equilibrium magnetosphere, J. Geophys. Res., 91, 10,995, 1986.
63. Walker, R. J., and D. J. Southwood, Momentum balance and flux conservation in model magnetospheric magnetic fields, J. Geophys. Res., 87, 7460, 1982.
64. Wang, C. P., L. R. Lyons, M. W. Chen, and R. A. Wolf, Modeling the quiet time inner plasma sheet protons, J. Geophys. Res., 106, 6161, 2001.
65. Weinstock, R., Calculus of Variations, With Applications to Physics and Engineering, 65 pp., Dover, Mineola, N. Y., 1974.
66. Wing, S., and P. T. Newell, Central plasma sheet ion properties as inferred from ionospheric observations, J. Geophys. Res., 103, 6785, 1998.
67. Wing, S., and P. T. Newell, Quiet time plasma sheet ion pressure contribution to Birkeland currents, J. Geophys. Res., 105, 7793, 2000.
68. Wolf, R. A., The quasi-static (slow-flow) region of the magnetosphere, in Solar-Terrestrial Physics, edited by R. L. Carovillano and J. M. Forbes, pp. 303-368, D. Reidel, Norwell, Mass., 1983.
69. Zaharia, S., C. Z. Cheng, and K. Maezawa, 3-D force-balanced magnetospheric configurations, Ann. Geophys., AG/2003/000014, in press, 2003.