Ion transport and Lévy random walk across the magnetopause in the presence of magnetic turbulence

Journal of Geophysical Research: Space Physics

Volumn 108, Issue A11, 2003, Pages

  Greco, A ^a,b   Taktakishvili, A L ^c   Zimbardo, G ^a,b   Veltri, P ^a,b   Cimino, G ^a   Zelenyi, L M ^d   Lopez, R E ^e  

^a UNIVERSITY OF CALABRIA   (Italy)

^b INFM   (Italy)

^c ILIA STATE UNIVERSITY   (Georgia)

^d Russian Academy of Sciences   (Russian Federation)

^e UNIVERSITY OF TEXAS AT EL PASO   (United States)

Author keywords

Magnetopause; Numerical simulations; Turbulence

Indexed keywords

EID: 84905359031     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2003JA010087     Document Type: Article

References (40)

1. Benkadda, S., S. Kassibrakis, R. B. White, and G. M. Zaslavsky, Self-similarity and transport in the standard map, Phys. Rev. E, 55, 4909, 1997.
2. Borovsky, J., The role of solar-wind turbulence in the coupling of the Solar-wind to the Earth's magnetosphere, paper presented at the COSPAR Colloquium, Sofia, Bulgaria, 5-10 Feb. 2001.
3. Bouchaud, J. P., and A. Georges, Anomalous diffusion in disordered media: Statistical mechanism, models and physical applications, Phys. Rep., 195, 127, 1990.
4. Buchner, J. M., and L. M. Zelenyi, Regular and chaotic charged particle motion in magnetotaillike field reversal: 1. Theory of trapped motion, J. Geophys. Res., 94, 11,821, 1989.
5. Carreras, B. A., V. E. Lynch, and G. M. Zaslavsky, Anomalous diffusion and exit time distribution of particles tracers in plasma turbulence model, Phys. Plasmas, 8, 5096, 2001.
6. Echim, M. M., and J. Lemaire, Positive density gradients at the magneto-pause: Interpretation in the framework of impulsive plasma penetration, J. Almos. Sol. Terr. Phys., 64, 2019, 2002.
7. Galeev, A. A., Explosive growth of tearing mode in a plasma slab with ruptured magnetic surfaces, Sow Phys. JETP, 73, 1002, 1991.
8. Greco, A., A. L. Taktakishvili, G. Zimbardo, P. Veltri, and L. M. Zelenyi, Ion dynamics in the near Earth magnetotail: Magnetic turbulence versus normal component of the averacc magnetic field, J. Geophys. Res., 107, 115, 2002.
9. Harris, E. G., On a plasma sheath separating regions of oppositely directed magnetic filed, Nuovo Cimento, 23, 115, 1962.
10. Klafter, J., A. Blumen, and M. F. Shlesinger, Stochastic pathway to anomalous diffusion, Phys. Rev. A, 35, 3081, 1987.
11. Kuznetsova, M., and M. L. Zelenyi, Theory of FTE stochastic percolation model, in Physics of Magnetic Flux Ropes, Geophys. Monogr. Sen., vol. 58, edited by C. T. Russell, E. R. Priest, and L. C. Lee, p. 473, AGU, Washington, D. C, 1990.
12. Lee, E., K. W. Min, J. Seon, L. C. Lee, and D. Ryu, Computer studies of the three-dimensional magnetic reconnection with the superimposed By component, J. Geophys. Res., 105, 5529, 2000.
13. y in three-dimensional reconnection at the dayside magnetopause, Phys. Plasmas, 9, 5070, 2002.
14. Lee, L. C, J. R. Johnson, and Z. W. Ma, Kinetic Alfvén waves as a source of plasma transport at the dayside magnetopause, J. Geophys. Res., 99, 17,405, 1994.
15. Lichtenberg, A. J., and M. A. Liebermann, Regular and Stochastic Motion, Springer-Verlag, New York, 1979.
16. Mantegna, R. N., and H. E. Stanley, Stochastic process with ultraslow convergence to a Gaussian: The truncated Lévy flights, Phys. Rev. Lett., 73, 2946, 1994.
17. Marcucci, M. R, et al.. Evidence for interplanetary magnetic field By controlled large-scale reconnection at the dayside magnetopause, J. Geophys. Res., 105, 27,497, 2000.
18. Metzlcr, R., and J. Klafter, The random walk's guide to anomalous diffusion: A fractal dynamics approach, Phys. Rep., 339, 1, 2000.
19. Milovanov, A. V., and L. M. Zelenyi, Percolation of a plasma across stochastic magnetic configurations: FLR effects, in Physics of the Magnetopause, Geophys. Monogr. Ser., vol. 90, edited by P. Song, B. U. O. Sonnerup, and M. F. Thomson, p. 357, AGU, Washington, D. C, 1995.
20. Paschmann, G., W. Baumjohann, N. Sckopke, T. D. Phan, and H. Lühr, Structure of the dayside magnetopause for low magnetic shear, J. Geophys. Res., 98, 13,409, 1993.
21. Phan, T. D., and G. Pachmann, Low-latitude dayside magnetopause and boundary layer for high magnetic shear: 1. Structure and motion, J. Geophys. Res., 101, 7801, 1996.
22. Phan, T. D., G. Pachmann, W. Baumjohann, and N. Sckopke, The magnetosheath region adjacent to the dayside magnetopause: AMPTE/IRM observations, J. Geophys. Res., 99, 121, 1994.
23. Savin, S. P., et al., Interball tail probe measurements in outer cusp and boundary layers, in Geospace Mass and Energy Flow: Results From the International Solar-Terrestrial Physics Program, Geophys. Monogr. Ser., vol. 104, edited by J. L. Horwitz, D. L. Gallagher, and W. K. Peterson, p. 25, AGU, Washington, D. C., 1998.
24. Savin, S. P., et al., Tubulent boundary layer at the Border of Geomagnetic Trap, JETP Lett., 74, 547, 2001.
25. Savin, S., et al., Multi-spacecraft tracing of turbulent boundary layer, Adv. Space Res., 30, 2821, 2002.
26. Scudder, J. D., F. S. Mozer, N. C. Maynard, and C. T. Russel, Fingerprints of collisionless reconnection at the separator, I, Ambipolar-Hall signatures, J. Geophys. Res., 107, 1294, 2002.
27. Shlesinger, M. F., B. J. West, and J. Klafter, Lévy dynamics of enhanced diffusion: Application to turbulence, Phys. Rev. Lett., 58, 1100, 1987.
28. Shlesinger, M. F., G. M. Zaslavsky, and J. Klafter, Strange kinetics, Nature, 363, 31, 1993.
29. Sibeck, D. G., et al.. Plasma transfer processes at the magnetopause, Spacé Sci. Rev., 88, 207, 1999.
30. Sibeck, D. G., L. Prech, J. Safrankova, and Z. Nemecek, Two-point measurements of the macnetopause: Interball observation, J. Geophys. Res., 105, 237, 2000.
31. Sokolov, I. M., and R. Metzler, Towards deterministic equations for Lévy walks: The fractional material derivative, Phys. Rev. E, 67, 010101 (R), 2003.
32. Song, P., R. C. Elphic, C. T. Russel, J. T. Gosling, and C. A. Cattel, Structure of the subsolar magnetopause for northward IMF: ISEE observations, J. Geophys. Res., 95, 6375, 1990.
33. Song, P., C. T. Russel, R. J. Strangeway, J. R. Wygant, C. A. Cattel, R. J. Fitzenreiter, and R. R. Anderson, Wave properties near the subsolar magnetopause: Pc 3-4 energy coupling for northward interplanetary magnetic field, J. Geophys. Res., 98, 187, 1993.
34. Taktakishvili, A., A. Greco, G. Zimbardo, P. Veltri, G. Cimino, L. M. Zelenyi, and R. E. Lopez, The penetration of ions into the magnetosphere through the magnetopause turbulent current sheet, Ann. Geophys., 21(9), 1965, 2003.
35. Treumann, R. A., Theory of super-diffusion for the magnetopause, Geophys. Res. Lett., 24, 1727, 1997.
36. Veltri, P., G. Zimbardo, A. L. Taktakishvili, and L. M. Zelenyi, Effect of magnetic turbulence on the ion dynamics in the distant magnctotail, J. Geophys. Res., 103, 14,897, 1998.
37. Wang, Z., and M. Ashour-Abdalla, Simulation of magnetic field line sto-chasticity at the magnetopause, J. Geophys. Res., 99, 2321, 1994.
38. Zaslavsky, G. M., Fractional kinetic equation for Hamiltonian chaos, Physica D, 76, 110, 1994.
39. Zastenker, G. N., M. N. Nozdrachev, J. Safrankova, Z. Nemecek, K. I. Paularena, J. D. Richardson, R. P. Lepping, and T. Mukai, Multispace-craft measurements of plasma and magnetic field variations in the magnetosheath: Comparison with Spreiter models and motion of the structures, Planet. Space Sci., 50, 601, 2002.
40. Zimbardo, G., A. Greco, and P. Veltri, Superballistic transport in tearing driven magnetic turbulence, Phys. Plasmas, 7, 1071, 2000.