Magnetic flux tube evolution in solar wind anisotropic magnetic turbulence

Journal of Geophysical Research: Space Physics

Volumn 109, Issue A2, 2004, Pages

  Zimbardo, G ^a,b   Pommois, P ^a,b   Veltri, P ^a,b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b INFM   (Italy)

Author keywords

Diffusion; Magnetic turbulence; Particle transport; Solar wind

Indexed keywords

EID: 41749117056     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2003JA010162     Document Type: Article

References (46)

1. Bavassano, B., M. Dobrowolny, G. Fanfoni, F. Mariani, and N. F. Ness (1982), Statistical properties of MHD fluctuations associated with high-speed streams from Helios-2 observations, Solar Phys., 78, 373-384.
2. Bhattacharjee, A., and C. S. Ng (2001), Random scattering and anisotropic turbulence of shear Alfvén wave packets, Astrophys. J., 548, 318-322.
3. Bieber, J. W., W. Wanner, and W. H. Matthaeus (1996), Dominant two-dimensional solar wind turbulence with implications for cosmic ray transport, J. Geophys. Res., 101, 2511-2522.
4. Brissaud, A., and U. Frisch (1974), Solving linear stochastic differential equations, J. Math. Phys., 15, 524-534.
5. Carbone, V., F. Malara, and P. Veltri (1995), A model for the three-dimensional magnetic field correlation spectra of low-frequency solar wind fluctuations during Alfvénic periods, J. Geophys. Res., 100, 1763-1778.
6. Dobrowolny, M., A. Mangeney, and P. Veltri (1980), Properties of MHD turbulence in the solar wind, Astron. Astrophys., 83, 26.
7. Filonenko, N. N., R. Z. Sagdeev, and G. M. Zaslavsky (1967), Destruction of magnetic surfaces by magnetic field irregularities: Part II, Nucl. Fusion, 7, 253-266.
8. Giacalone, J. (2001), The latitudinal transport of energetic particles associated with corotating interaction regions, J. Geophys. Res., 106, 15,881-15,888.
9. Giacalone, J., J. Jokipii, and J. E. Mazur (2000), Small-scale gradients and large-scale diffusion of charged particles in the heliospheric magnetic field, Astrophys. J., 532, L75-L78.
10. Gray, P. C., D. H. Pontius, and W. H. Matthaeus (1996), Scaling of fieldline random walk in model solar wind fluctuation, Geophys. Res. Lett., 23, 965-968.
11. Gruzinov, A. V., M. B. Isichenko, and J. Kalda (1990), Two-dimensional turbulent diffusion, Zh. Éksp. Teor. Fiz., 97, 476-488.
12. Hefti, S., H. Grunwaldt, P. Bochsler, and M. Aellig (2000), Oxygen freezein temperatures measured with SOHO/CELIAS/CTOS, J. Geophys. Res., 105, 10,527.
13. Horbury, T. S., A. Balogh, R. J. Forsyth, and E. J. Smith (1996), The rate of turbulent evolution over the Sun's poles, Astron. Astrophys., 316, 333-341.
14. Isichenko, M. B. (1991a), Effective plasma heat conductivity in a "braided" magnetic field - I. Quasi-linear limit, Plasma Phys. Control. Fusion, 33, 795-807.
15. Isichenko, M. B. (1991b), Effective plasma heat conductivity in a "braided" magnetic field - II. Percolation limit, Plasma Phys. Control. Fusion, 33, 809-826.
16. Isichenko, M. B. (1992), Percolation, statistical topography and transport in random media, Rev. Modern Phys., 64, 961.
17. Jokipii, J. R. (1966), Cosmic ray propagation, 1, Charged particles in a random magnetic field, Astrophys. J., 146, 480.
18. Jokipii, J. R., and E. N. Parker (1968), Random walk of magnetic lines of force in astrophysics, Phys. Rev. Lett., 21, 44-47.
19. Kadomtsev, B. B., and O. P. Pogutse (1979), Electron heat conductivity of the plasma across a "Braided magnetic field", in Plasma Physics and Controlled Nuclear Fusion Research, Proceedings of 7th International Conference, (Innsbruck, 1978), vol. 1, p. 649, Int. At. Energy Agency, Vienna, Austria.
20. Klafter, J., A. Blumen, and M. F. Shlesinger (1987), Stochastic pathway to anomalous diffusion, Phys. Rev. A, 35, 3081.
21. Kóta, J., and J. R. Jokipii (1995), Corotating variations of cosmic rays near the south heliospheric pole, Science, 268, 1024-1025.
22. Kubo, R. (1963), Stochastic Liouville equations, J. Math. Phys., 4(2), 174-183.
23. Matthaeus, W. H., P. C. Gray, D. H. Pontius Jr., and J. W. Bieber (1995), Spatial structure and field-line diffusion in transverse magnetic turbulence, Phys. Rev. Lett., 75, 2136-2139.
24. Matthaeus, W. H., S. Ghosh, S. Oughton, and D. A. Roberts (1996), Anisotropic three-dimensional MHD turbulence, J. Geophys. Res., 101, 7619-7630.
25. Matthaeus, W. H., G. P. Zank, C. W. Smith, and S. Oughton (1999), Turbulence, spatial transport, and heating of the solar wind, Phys. Rev. Lett., 82, 3444-3447.
26. Matthaeus, W. H., G. Qin, J. W. Bieber, and G. P. Zank (2003), Nonlinear collisionless perpendicular diffusion of charged particles, Astrophys. J., 590, L53-L56.
27. Mazur, J. E., G. M. Mason, J. R. Dwyer, J. Giacalone, J. R. Jokipii, and E. C. Stone (2000), Interplanetary magnetic field line mixing deduced from impulsive solar flare particle, Astrophys. J., 532, L79-L82.
28. Ottaviani, M. (1992), Scaling laws of test particle transport in two-dimensional turbulence, Europhys. Lett., 20, 111-116.
29. Parker, E. N. (1958), Dynamics of the interplanetary gas and magnetic field, Astrophys. J., 128, 664-676.
30. Pommois, P., G. Zimbardo, and P. Veltri (1998), Magnetic field line transport in three dimensional turbulence: Lévy random walk and spectrum models, Phys. Plasmas, 5, 1288-1297.
31. Pommois, P., P. Veltri, and G. Zimbardo (1999a), Anomalous and Gaussian transport regimes in anisotropic 3-D magnetic turbulence, Phys. Rev. E, 59, 2244-2252.
32. Pommois, P., P. Veltri, and G. Zimbardo (1999b), Transport of magnetic field lines in the solar wind magnetic turbulence and influence on particle propagation to high heliographic latitudes, in Proceedings of 9th European Meeting on Solar Physics, Magnetic Fields and Solar Processes, Eur. Space Agency Spec. Publ., ESA-SP 448, 1115.
33. Pommois, P., P. Veltri, and G. Zimbardo (2001a), Field line diffusion in the solar wind magnetic turbulence and energetic particle propagation across heliographic latitudes, J. Geophys. Res., 106, 24,965-24,979.
34. Pommois, P., P. Veltri, and G. Zimbardo (2001b), Kubo number and magnetic field line diffusion coefficient for anisotropic magnetic turbulence, Phys. Rev. E, 63, 066405.
35. Rechester, A. B., and M. N. Rosenbluth (1978), Electron heat transport in a Tokamak with destroyed magnetic surfaces, Phys. Rev. Lett., 40, 38-41.
36. Roelof, E. C., R. B. Decker, and S. M. Krimigis (1983), Latitudinal and field-aligned cosmic ray gradients 2 to 5 AU Voyagers 1 and 2 and IMP 8, J. Geophys. Res., 88, 9889-9909.
37. Rosenbluth, M. N., R. Z. Sagdeev, G. B. Taylor, and G. M. Zaslavsky (1966), Destruction of magnetic surfaces by magnetic field irregularities, Nucl. Fusion, 6, 297-300.
38. Vlad, M., F. Spineanu, J. H. Misguich, and R. Balescu (1998), Diffusion with intrisic trapping in two-dimensional incompressible stochastic velocity fields, Phys. Rev. E, 58, 7359-7368.
39. Zank, G. P., W. H. Matthaeus, J. W. Bieber, and H. Moraal (1998), The radial and latitudinal dependence of the cosmic ray diffusion tensor in the heliosphere, J. Geophys. Res., 103, 2085-2097.
40. Zaslavsky, G. M., R. Z. Sagdeev, D. K. Chaikovsky, and A. A. Chemikov (1989), Chaos and two-dimensional random walk in periodic and quasiperiodic fields, Sov. Phys. JETP, 68, 995.
41. Zaslavsky, G. M., D. Stevens, and H. Weitzner (1993), Self similar transport in incomplete chaos, Phys. Rev. E, 48, 1683-1694.
42. Zimbardo, G., and P. Veltri (1995), Field line transport in stochastic magnetic fields: Percolation, Lévy flights, and non-Gaussian dynamics, Phys. Rev. E, 51, 1412-1415.
43. Zimbardo, G., P. Veltri, G. Basile, and S. Principato (1995), Anomalous diffusion and Lévy random walk of magnetic field lines in three dimensional turbulence, Phys. Plasmas, 2, 2653-2663.
44. Zimbardo, G., P. Veltri, and P. Pommois (2000), Anomalous, quasilinear, and percolative regimes for magnetic-field-line transport in axially symmetric turbulence, Phys. Rev. E, 61, 1940-1948.
45. Zimbardo, G., P. Pommois, and P. Veltri (2003), Magnetic turbulence, fast magnetic field line diffusion and small magnetic structures in the solar wind, in Solar Wind Ten, edited by M. Velli et al., AIP Conf. Proc., 679, 409.
46. Zurbuchen, T. H., S. Hefti, L. A. Fisk, G. Gloecker, and N. A. Schwadron (2000), Magnetic structure of the slow solar wind: Constraints from composition data, J. Geophys. Res., 105, 18,327-18,336.