Resonant absorption of an Alfvén wave: Hybrid simulations

Journal of Geophysical Research: Space Physics

Volumn 110, Issue A10, 2005, Pages

  Vasquez, Bernard J ^a  

^a UNIVERSITY OF NEW HAMPSHIRE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845734504     PISSN: None     EISSN: 21699402     Source Type: Journal    
DOI: 10.1029/2004JA010872     Document Type: Article

References (98)

1. Allan, W., E. M. Poulter, and S. P. White (1986), Hydromagnetic wave coupling in the magnetosphere-plasmapause effects on impulse-excited resonances, Planet. Space Sci., 34, 1189.
2. Allan, W., E. M. Poulter, and S. P. White (1987), Hydromagnetic wave coupling in the magnetosphere-Magnetic fields and poynting fluxes, Planet. Space Sci., 35, 1181.
3. Barston, E. M. (1964), Electrostatic oscillations in inhomogeneous cold plasma, Ann. Phys., 29, 282.
4. Belcher, J. W., and L. Davis (1971), Large-amplitude Alfvén waves in the interplanetary medium, 2, J. Geophys. Res., 76, 3534.
5. Burlaga, L. F., and J. B. Turner (1976), Mircoscale "Alfvén waves" in the solar wind at 1 AU, J. Geophys. Res., 81, 73.
6. Champeaux, S., A. Gazol, T. Passot, and P.-L. Sulem (1997), Plasma heating by Alfvén wave filamentation: A relevant mechanism in the solar corona and the interstellar medium, Astrophys. J., 486, 477.
7. Champeaux, S., T. Passot, and P.-L. Sulem (1998), Transverse collapse of Alfvén wave-trains with small dispersion, Phys. Plasmas, 5, 100.
8. Chen, L., and A. Hasegawa (1974a), A theory of long-period magnetic pulsations, 1, Steady state excitation of field line resonances, J. Geophys. Res., 79, 1024.
9. Chen, L., and A. Hasegawa (1974b), A theory of long-period magnetic pulsations, 2, Impulse excitation of surface eigenmode, J. Geophys. Res., 79, 1033.
10. Cohen, R. H., and R. M. Kulsrud (1974), Nonlinear evolution of parallel-propagating hydromagnetic waves, Phys. Fluids, 17, 2215.
11. Coles, W. A., and J. K. Harmon (1989), Propagation observations of solar wind near the Sun, Astrophys. J., 337, 1023.
12. De Groof, A., and M. Goossens (2002), Fast and Alfvén waves driven by azimuthal footpoint motions. II. Random driver, Astron. Astrophys., 386, 691.
13. De Groof, A., K. Paes, and M. Goossens (2002), Fast and Alfvén waves driven by azimuthal footpoint motions. I. Periodic driver, Astron. Astrophys., 386, 681.
14. Del Zanna, L., M. Velli, and P. Londrillo (2001), Parametric decay of circularly polarized Alfvén waves: Multidimensional simulations in periodic and open domains, Astron. Astrophys., 367, 705.
15. Dmitruk, P., W. H. Matthaeus, L. J. Milano, S. Oughton, G. P. Zank, and D. J. Mullan (2002), Coronal heating distribution due to low-frequency, wave-driven turbulence, Astrophys. J., 575, 571.
16. Galtier, S., S. V. Nazarenko, A. C. Newell, and A. Pouquet (2000), A weak turbulence theory for incompressible magnetohydrodynamics, J. Plasma Phys., 63, 447.
17. Gary, S. P., and J. E. Borovsky (2004), Alfvén-cyclotron fluctuations: Linear Vlasov theory, J. Geophys. Res., 109, A06105, doi:10.1029/2004JA010399.
18. Gazol, A., T. Passot, and P.-L. Sulem (1999), Coupling between nonlinear Alfvén waves and reduced magnetohydrodynamics for compressible fluids, Phys. Plasmas, 6, 3114.
19. Ghosh, S., W. H. Matthaeus, D. A. Roberts, and M. L. Goldstein (1998a), The evolution of slab fluctuations in the presence of pressure-balanced magnetic structures and velocity shears, J. Geophys. Res., 103, 23,691.
20. Ghosh, S., W. H. Matthaeus, D. A. Roberts, and M. L. Goldstein (1998b), Waves, structures, and the appearance of two-component turbulence in the solar wind, J. Geophys. Res., 103, 23,705.
21. Goossens, M., and A. De Groof (2001), Resonant and phase-mixed magnetohydrodynamic waves in the solar atmosphere, Phys. Plasmas, 8, 2371.
22. Goossens, M., M. S. Ruderman, and J. V. Hollweg (1995), Dissipative MHD solutions for resonant Alfvén waves in 1-dimensional magnetic flux tubes, Sol. Phys., 157, 75.
23. Goossens, M., J. Andries, and M. J. Aschwanden (2002), Coronal loop oscillations. An interpretation in terms of resonant absorption of quasimode kink oscillations, Astron. Astrophys., 394, L39.
24. Hasselmann, K. (1966), Feynman diagrams and interaction rules of wave-wave scattering processes, Rev. Geophys., 4, 1.
25. Hollweg, J. V. (1982), Surface waves on solar wind tangential discontinuities, J. Geophys. Res., 87, 8065.
26. Hollweg, J. V. (1987), Resonance absorption of magnetohydrodynamic surface waves: Physical discussion, Astrophys. J., 312, 880.
27. Hollweg, J. V. (1990), Resonant decay of global MHD modes at "thick" interfaces, J. Geophys. Res., 95, 2319.
28. Hollweg, J. V. (1997), A simple mechanical model for resonance absorption: The Alfvén resonance, J. Geophys. Res., 102, 24,127.
29. Hollweg, J. V. (1999), The kinetic Alfvén wave revisited, J. Geophys. Res., 104, 14,811.
30. Hollweg, J. V., and M. A. Lee (1989), Slow twists of solar magnetic flux tubes and the polar magnetic field of the Sun, Geophys. Res. Lett., 16, 919.
31. Hollweg, J. V., and G. Yang (1988), Resonance absorption of compressible magnetohydrodynamic waves at thin "surfaces," J. Geophys. Res., 93, 5423.
32. Hood, A. W., J. Ireland, and E. R. Priest (1997), Heating of coronal holes by phase mixing, Astron. Astrophys., 318, 957.
33. Horbury, T., D. Burgess, M. J. Fränz, and C. J. Owen (2001), Three space-craft observations of solar wind discontinuities, Geophys. Res. Lett., 28, 677.
34. Ionson, J. A. (1978), Resonant absorption of Alfvénic surface waves and the heating of solar coronal loops, Astrophys. J., 226, 650.
35. Knetter, T., F. M. Neubauer, T. Horbury, and A. Balogh (2003), Discontinuity observations with Cluster, Adv. Space Res., 32, 543.
36. Knetter, T., F. M. Neubauer, T. Horbury, and A. Balogh (2004), Four-point discontinuity observations using Cluster magnetic field data: A statistical survey, J. Geophys. Res., 109, A06102, doi:10.1029/2003JA010099.
37. Kuo, S. P., M. H. Whang, and M. C. Lee (1988), Filamentation instability of large-amplitude Alfvén waves, J. Geophys. Res., 93, 9621.
38. Kuo, S. P., M. H. Whang, and G. Schmidt (1989), Convective filamentation instability of circularly polarized Alfvén waves, Phys. Fluids B, 1, 734.
39. Laveder, D., T. Passot, and P.-L. Sulem (2001), Transverse collapse of low-frequency Alfvén waves, Physica D, 152, 694.
40. Laveder, D., T. Passot, and P.-L. Sulem (2002), Transverse dynamics of dispersive Alfvén waves. I. Direct numerical evidence of filamentation, Phys. Plasmas, 9, 293.
41. Lee, M. A. (1980), Comments on the dissipation of hydromagnetic surface waves, Astrophys. J., 240, 693.
42. Lee, M. A., and B. Roberts (1986), On the behavior of hydromagnetic surface waves, Astrophys. J., 240, 693.
43. Lysak, R. L., and W. Lotko (1996), On the kinetic dispersion relation for shear Alfvén waves, J. Geophys. Res., 101, 5085.
44. Mann, I. R., and A. N. Wright (1995), Finite lifetimes of ideal poloidal Alfvén waves, J. Geophys. Res., 100, 23,677.
45. Mann, I. R., A. N. Wright, and P. S. Cally (1995), Coupling of magnetospheric cavity modes to field line resonances: A study of resonance widths, J. Geophys. Res., 100, 19,441.
46. Markovskii, S. A. (2001), Generation of ion cyclotron waves in coronal holes by a global resonant magnetohydrodynamic mode, Astrophys. J., 557, 337.
47. Marsch, E., and C.-Y. Tu (1990), On the radial evolution of MUD turbulence in the inner heliosphere, J. Geophys. Res., 95, 8211.
48. Matthaeus, W. H., S. Ghosh, S. Oughton, and D. A. Roberts (1996), Anisotropic three-dimensional MHD turbulence, J. Geophys. Res., 101, 7619.
49. Ng, C. S., and A. Bhattacharjee (1996), Interaction of Shear-Alfvén wave packets: Implication for weak magnetohydrodynamic turbulence in astrophysical plasmas, Astrophys. J., 465, 845.
50. Ng, C. S., A. Bhattacharjee, and K. Germaschewski (2003), Anisotropic fluid turbulence in the interstellar medium and solar wind, Phys. Plasmas, 10, 1954.
51. Ofman, L., and J. M. Davila (1995a), Alfvén wave heating of coronal holes and the relation to the high-speed solar wind, J. Geophys. Res., 100, 23,413.
52. Ofman, L., and J. M. Davila (1995b), Nonlinear resonant absorption of Alfvén waves in three dimensions, scaling laws, and coronal heating, J. Geophys. Res., 100, 23,427.
53. Ofman, L., and J. M. Davila (1997), Solar wind acceleration by solitary waves in coronal holes, Astrophys. J., 476, 357.
54. Ofman, L., and J. M. Davila (1998), Solar wind acceleration by large-amplitude nonlinear waves: Parametric study, J. Geophys. Res., 103, 23,677.
55. Ofman, L., J. M. Davila, and R. S. Steinolfson (1995), Coronal heating by the resonant absorption of Alfvén waves: Wavenumber scaling laws, Astrophys. J., 444, 471.
56. Ofman, L., J. M. Davila, and J. Shimizu (1996), Signatures of global mode Alfvén resonance heating in coronal loops, Astrophys. J., 459, L39.
57. Ofman, L., J. A. Klimchuk, and J. M. Davila (1998), A self-consistent model for the resonant heating of coronal loops: The effects of coupling with the chromosphere, Astrophys. J., 493, 474.
58. Parker, E. N. (1991), The phase mixing of Alfvén waves, coordinated modes, and coronal heating, Astrophys. J., 376, 355.
59. Poedts, S., M. Goossens, and W. Kemer (1989), Numerical simulation of coronal heating by resonant absorption of Alfvén waves, Sol. Phys., 123, 83.
60. Rankin, R., B. G. Harrold, J. C. Samson, and P. Fryez (1993a), The non-linear evolution of field line resonances in the Earth's magnetosphere, J. Geophys. Res., 98, 5839.
61. Rankin, R., J. C. Samson, and P. Frycz (1993b), Simulations of driven field line resonances in the Earth's magnetosphere, J. Geophys. Res., 98, 21,341.
62. Rankin, R., F. Fenrich, and V. T. Tikhonchuk (2000), Shear Alfvén waves on stretched magnetic field lines near midnight in Earth's magnetosphere, Geophys. Res. Lett., 27, 3265.
63. Riley, P., C. P. Sonett, B. T. Tsurutani, A. Balogh, R. J. Forsyth, and G. W. Hoogeveen (1996), Properties of arc-polarized Alfvén waves in the ecliptic plane: Ulysses observations, J. Geophys. Res., 101, 19,987.
64. Ruderman, M. S., and B. Roberts (2002), The damping of coronal loop oscillations, Astrophys. J., 577, 475.
65. Sakurai, T., M. Goossens, and J. V. Hollweg (1991), Resonant behaviour of MHD waves on magnetic flux tubes, I, Connection formulae at resonant surfaces, Sol. Phys., 133, 247.
66. Samson, J. C., and B. G. Harrold (1992), Field line resonances associated with MHD waveguides in the magnetosphere, Geophys. Res. Lett., 19, 441.
67. Saur, J., and J. W. Bieber (1999), Geometry of low-frequency solar wind magnetic turbulence: Evidence for radially aliened Alfvénic fluctuations, J. Geophys. Res., 104, 9975.
68. Sedláček, Z. (1971a), Electrostatic oscillations in cold inhomogeneous plasma, I, Differential equation approach, J. Plasma Phys., 5, 239.
69. Sedláček, Z. (1971b), Electrostatic oscillations in cold inhomogeneous plasma, part 2, Integral equation approach, J. Plasma Phys., 6, 187.
70. Shebalin, J. V., W. H. Matthaeus, and D. Montgomery (1983), Anisotropy in MHD turbulence due to a mean magnetic field, J. Plasma Phys., 29, 525.
71. Shukla, A., and R. P. Sharma (2001), Transient filaments formation by nonlinear kinetic Alfvén waves and its effect on solar wind turbulence and coronal heating, Phys. Plasmas, 8, 3759.
72. Shukla, A., and R. P. Sharma (2003), Effect of nonlinear coupling of right and left circularly polarized Hall magnetohydromagnetic modes on filamentation processes in the solar wind, Phys. Plasmas, 10, 474.
73. Southwood, D. J. (1974), Some features of field line resonances in the magnetosphere, Planet. Space Sci., 22, 483.
74. Southwood, D. J., and M. G. Kivelson (1986), The effect of parallel inhomogeneity on magnetospheric hydromagnetic wave coupling, J. Geophys. Res., 91, 6871.
75. Steinolfson, R. S., and J. M. Davila (1993), Coronal heating by the resonant absorption of Alfvén waves: Importance of the global mode and scaling laws, Astrophys. J., 415, 354.
76. Streltsov, A., and W. Lotko (1995), Dispersive field line resonances on auroral field lines, J. Geophys. Res., 100, 19,457.
77. Tirry, W. J., and D. Berghmans (1997), Wave heating of coronal loops driven by azimuthally polarised footpoint motions, II, The time dependent behaviour in ideal MHD, Astron. Astrophys., 325, 329.
78. Tirry, W. J., and M. Goossens (1996), Quasi-modes as dissipative magnetohydrodynamic eigenmodes: Results for one-dimensional equilibrium states, Astrophys. J., 471, 501.
79. Tsiklauri, D., and V. M. Nakariakov (2002), A three dimensional magnetohydrodynamic pulse in a tranversely inhomogeneous medium, Astron. Astrophys., 393, 321.
80. Tsiklauri, D., J.-I. Sakai, and S. Saito (2005), The phase mixing of shear Alfvén waves as a new mechanism for particle acceleration in collisionless, kinetic plasmas, New J. Phys., 7, 79.
81. Tsurutani, B. T., C. M. Ho, E. J. Smith, M. Neugebauer, B. E. Goldstein, J. S. Mok, J. K. Arballo, A. Balogh, D. J. Southwood, and W. C. Feldman (1994), The relationship between interplanetary discontinuities and Alfvén waves: Ulysses observations, Geophys. Res. Lett., 21, 2267.
82. Van Doorsselaere, T., J. Andries, S. Poedts, and M. Goossens (2004), Damping of coronal loop oscillations: Calculation of resonantly damped kink oscillations of one-dimensional nonuniform loops, Astrophys. J., 606, 1223.
83. Vasquez, B. J., and J. V. Hollweg (1996), Formation of arc-shaped Alfvén waves and rotational discontinuities from oblique linearly polarized wave trains, J. Geophys. Res., 101, 13,527.
84. Vasquez, B. J., and J. V. Hollweg (1999), Formation of pressure-balanced structures and fast waves from nonlinear Alfvén waves, J. Geophys. Res., 104, 4681.
85. Vasquez, B. J., and J. V. Hollweg (2001), Evolution and dissipation of imbedded rotational discontinuities and Alfvén waves in nonuniform plasma and the resultant proton heating, J. Geophys. Res., 106, 5661.
86. Vasquez, B. J., and J. V. Hollweg (2004a), Nonlinear Alfvén waves: 1. Interactions between outgoing and ingoing waves according to an amplitude expansion, J. Geophys. Res., 109, A05103, doi:10.1029/2003JA010105.
87. Vasquez, B. J., and J. V. Hollweg (2004b), Cross-field energy transfer of a body Alfvén wave propagating along and across a pressure-balanced structure, Geophys. Res. Lett., 31, L14803, doi:10.1029/2004GL019746.
88. Vasquez, B. J., et al. (2001), The nature of fluctuations on directional discontinuities inside a solar ejection: Wind and IMP 8 observations, J. Geophys. Res., 106, 29,283.
89. Vasquez, B. J., S. A. Markovskii, and J. V. Hollweg (2004), Nonlinear Alfvén waves: 2. The influence of wave advection and finite-wavelength effects, J. Geophys. Res., 109, A05104, doi:10.1029/2003JA010106.
90. Voitenko, Y., and M. Goossens (2004), Cross-field heating of coronal ions by low-frequency kinetic Alfvén waves, Astrophys. J., 605, L149.
91. Völk, H. J., and W. Alpers (1973), The propagation of Alfvén waves and their directional anisotropy in the solar wind, Astrophys. Space Sci., 20, 267.
92. Wright, A. N., and G. J. Rickard (1995), A numerical study of resonant absorption in a magnetohydrodynamic cavity driven by a broadband spectrum, Astrophys. J., 444, 458.
93. Yamauchi, Y., M. Tokumaru, M. Kojima, P. K. Manoharan, and R. Esser (1998), A study of density fluctuations in the solar wind acceleration region, J. Geophys. Res., 103, 6571.
94. Zhou, Y., and W. H. Matthaeus (1989), Non-WKB evolution of solar wind fluctuations: A turbulence modeling approach, Geophys. Res. Lett., 16, 755.
95. Zhou, Y., and W. H. Matthaeus (1990a), Transport and turbulence modeling of solar wind fluctuations, J. Geophys. Res., 95, 10,291.
96. Zhou, Y., and W. H. Matthaeus (1990b), Remarks on transport theories of interplanetary fluctuations, J. Geophys. Res., 95, 14,863.
97. Zhu, X., and M. G. Kivelson (1988), Analytic formulation and quantitative solutions of the coupled ULF wave problem, J. Geophys. Res., 93, 8602.
98. Zhu, X., and M. G. Kivelson (1989), Global mode ULF pulsations in a magnetosphere with a nonmonotonic Alfvén velocity profile, J. Geophys. Res., 94, 1479.