Parametric decay of oblique arc-polarized Alfvén waves
The long‐term nonlinear evolution of monochromatic large‐amplitude Alfvén waves in oblique propagation is studied via one‐dimensional magnetohydrodynamic (MHD) numerical simulations. Arc‐polarized waves, which are exact solutions for non‐parallel propagation and are observed in solar wind data, are...
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          | Published in | Geophysical research letters Vol. 28; no. 13; pp. 2585 - 2588 | 
|---|---|
| Main Author | |
| Format | Journal Article | 
| Language | English | 
| Published | 
        Washington, DC
          Blackwell Publishing Ltd
    
        01.07.2001
     American Geophysical Union  | 
| Subjects | |
| Online Access | Get full text | 
| ISSN | 0094-8276 1944-8007 1944-8007  | 
| DOI | 10.1029/2001GL012911 | 
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| Abstract | The long‐term nonlinear evolution of monochromatic large‐amplitude Alfvén waves in oblique propagation is studied via one‐dimensional magnetohydrodynamic (MHD) numerical simulations. Arc‐polarized waves, which are exact solutions for non‐parallel propagation and are observed in solar wind data, are shown to be subject to parametric decay instabilities just like the well studied case of circularly polarized waves, not only when arc polarization is used as initial condition but also when this state is reached after nonlinear evolution of linearly polarized waves. | 
    
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| AbstractList | The long‐term nonlinear evolution of monochromatic large‐amplitude Alfvén waves in oblique propagation is studied via one‐dimensional magnetohydrodynamic (MHD) numerical simulations. Arc‐polarized waves, which are exact solutions for non‐parallel propagation and are observed in solar wind data, are shown to be subject to parametric decay instabilities just like the well studied case of circularly polarized waves, not only when arc polarization is used as initial condition but also when this state is reached after nonlinear evolution of linearly polarized waves. The long-term nonlinear evolution of monochromatic large-amplitude Alfven waves in oblique propagation is studied via one-dimensional magnetohydrodynamic (MHD) numerical simulations. Arc-polarized waves, which are exact solutions for non-parallel propagation and are observed in solar wind data, are shown to be subject to parametric decay instabilities just like the well studied case of circularly polarized waves, not only when arc polarization is used as initial condition but also when this state is reached after nonlinear evolution of linearly polarized waves.  | 
    
| Author | Del Zanna, Luca | 
    
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| Keywords | Alfven waves Polarization Parametric instabilities MHD model Wave propagation Digital simulation One dimensional model Polarized wave Decay instability Oblique propagation Long term Solar wind  | 
    
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| References | Inhester, B., A drift-kinetic treatment of the parametric decay of large-amplitude Alfvén waves, J. Geophys. Res., 95, 10525, 1990 Leamon, R. J.W. H. MatthaeusC. W. SmithG. P. ZankD. J. MullanS. Oughton, MHD-driven kinetic dissipation in the solar wind and corona, Astrophys. J., 537, 1054, 2000 Londrillo, P.L. Del Zanna, High order upwind schemes for multidimensional magnetohydrodynamics, Astrophys. J., 530, 508, 2000 Del Zanna, L., M. Velli, and P. Londrillo, Parametric decay of circularly polarized Alfvén waves: Multidimensional simulations in periodic and open domains, Astron. Astrophys., 367, 705, 2001 (DZ). Riley, P.C. P. SonnetA. BaloghR. J. ForsythE. E. ScimeW. C. Feldman, Alfvénic fluctuations in the solar wind: A case study using Ulysses measurements, Space Sci. Rev., 72, 197, 1995 Barnes, A., and J. V. Hollweg, Large-amplitude hydromagnetic waves, J. Geophys. Res., 79, 2302, 1974 (BH). Tsurutani, B. T.C. M. Ho, A review of discontinuities and Alfvén waves in interplanetary space: Ulysses results, Rev. Geophys., 37, 517, 1997 Vasquez, B. J., and J. V. Hollweg, Formation of arc-shaped Alfvén waves and rotational discontinuities from oblique linearly polarized wave trains, J. Geophys. Res., 101, 13527, 1996b (VH). Riley, P.C. P. SonnetB. T. TsurutaniA. BaloghR. J. ForsythG. W. Hoogeveen, Properties of arc-polarized Alfvén waves in the ecliptic plane: Ulysses observations, J. Geophys. Res., 101, 19987, 1996 Roberts, D. A.M. L. GoldsteinL. W. KleinW. H. Matthaeus, Origin and evolution of fluctuations in the solar wind: Helios observations and Helios-Voyager comparisons, J. Geophys. Res., 92, 12023, 1987 Bavassano, B.E. PietropaoloR. Bruno, On the evolution of outward and inward Alfvénic fluctuations in the polar wind, J. Geophys. Res., 105, 15959, 2000 Medvedev, M. V.V. I. ShevchenkoP. H. DiamondV. L. Galinsky, Fluid models for kinetic effects on coherent nonlinear Alfvén waves. II. Numerical solutions, Phys. Plasmas, 4, 1257, 2000 1990; 95 1974; 79 1995; 72 2000; 530 2000; 4 2000; 105 1996; 101 1987; 92 1997; 37 2001; 367 2000; 537 e_1_2_1_7_1 e_1_2_1_8_1 e_1_2_1_5_1 e_1_2_1_6_1 e_1_2_1_3_1 e_1_2_1_12_1 e_1_2_1_4_1 e_1_2_1_13_1 e_1_2_1_10_1 e_1_2_1_2_1 e_1_2_1_11_1 e_1_2_1_9_1  | 
    
| References_xml | – reference: Inhester, B., A drift-kinetic treatment of the parametric decay of large-amplitude Alfvén waves, J. Geophys. Res., 95, 10525, 1990 – reference: Riley, P.C. P. SonnetB. T. TsurutaniA. BaloghR. J. ForsythG. W. Hoogeveen, Properties of arc-polarized Alfvén waves in the ecliptic plane: Ulysses observations, J. Geophys. Res., 101, 19987, 1996 – reference: Vasquez, B. J., and J. V. Hollweg, Formation of arc-shaped Alfvén waves and rotational discontinuities from oblique linearly polarized wave trains, J. Geophys. Res., 101, 13527, 1996b (VH). – reference: Medvedev, M. V.V. I. ShevchenkoP. H. DiamondV. L. Galinsky, Fluid models for kinetic effects on coherent nonlinear Alfvén waves. II. Numerical solutions, Phys. Plasmas, 4, 1257, 2000 – reference: Barnes, A., and J. V. Hollweg, Large-amplitude hydromagnetic waves, J. Geophys. Res., 79, 2302, 1974 (BH). – reference: Londrillo, P.L. Del Zanna, High order upwind schemes for multidimensional magnetohydrodynamics, Astrophys. J., 530, 508, 2000 – reference: Del Zanna, L., M. Velli, and P. Londrillo, Parametric decay of circularly polarized Alfvén waves: Multidimensional simulations in periodic and open domains, Astron. Astrophys., 367, 705, 2001 (DZ). – reference: Riley, P.C. P. SonnetA. BaloghR. J. ForsythE. E. ScimeW. C. Feldman, Alfvénic fluctuations in the solar wind: A case study using Ulysses measurements, Space Sci. Rev., 72, 197, 1995 – reference: Leamon, R. J.W. H. MatthaeusC. W. SmithG. P. ZankD. J. MullanS. Oughton, MHD-driven kinetic dissipation in the solar wind and corona, Astrophys. J., 537, 1054, 2000 – reference: Tsurutani, B. T.C. M. Ho, A review of discontinuities and Alfvén waves in interplanetary space: Ulysses results, Rev. Geophys., 37, 517, 1997 – reference: Bavassano, B.E. PietropaoloR. Bruno, On the evolution of outward and inward Alfvénic fluctuations in the polar wind, J. Geophys. Res., 105, 15959, 2000 – reference: Roberts, D. A.M. L. GoldsteinL. W. KleinW. H. Matthaeus, Origin and evolution of fluctuations in the solar wind: Helios observations and Helios-Voyager comparisons, J. Geophys. Res., 92, 12023, 1987 – volume: 530 start-page: 508 year: 2000 article-title: High order upwind schemes for multidimensional magnetohydrodynamics publication-title: Astrophys. J. – volume: 105 start-page: 15959 year: 2000 article-title: On the evolution of outward and inward Alfvénic fluctuations in the polar wind publication-title: J. Geophys. Res. – volume: 537 start-page: 1054 year: 2000 article-title: MHD‐driven kinetic dissipation in the solar wind and corona publication-title: Astrophys. J. – volume: 92 start-page: 12023 year: 1987 article-title: Origin and evolution of fluctuations in the solar wind: Helios observations and Helios‐Voyager comparisons publication-title: J. Geophys. Res. – volume: 367 start-page: 705 year: 2001 article-title: Parametric decay of circularly polarized Alfvén waves: Multidimensional simulations in periodic and open domains publication-title: Astron. Astrophys. – volume: 95 start-page: 10525 year: 1990 article-title: A drift‐kinetic treatment of the parametric decay of large‐amplitude Alfvén waves publication-title: J. Geophys. Res. – volume: 4 start-page: 1257 year: 2000 article-title: Fluid models for kinetic effects on coherent nonlinear Alfvén waves. II. Numerical solutions publication-title: Phys. Plasmas – volume: 79 start-page: 2302 year: 1974 article-title: Large‐amplitude hydromagnetic waves publication-title: J. Geophys. Res. – volume: 72 start-page: 197 year: 1995 article-title: Alfvénic fluctuations in the solar wind: A case study using Ulysses measurements publication-title: Space Sci. Rev. – volume: 101 start-page: 19987 year: 1996 article-title: Properties of arc‐polarized Alfvén waves in the ecliptic plane: Ulysses observations publication-title: J. Geophys. Res. – volume: 37 start-page: 517 year: 1997 article-title: A review of discontinuities and Alfvén waves in interplanetary space: Ulysses results publication-title: Rev. Geophys. – volume: 101 start-page: 13527 year: 1996 article-title: Formation of arc‐shaped Alfvén waves and rotational discontinuities from oblique linearly polarized wave trains publication-title: J. Geophys. Res. – ident: e_1_2_1_11_1 doi: 10.1029/JA092iA11p12023 – ident: e_1_2_1_8_1 doi: 10.1063/1.872356 – ident: e_1_2_1_2_1 doi: 10.1029/JA079i016p02302 – ident: e_1_2_1_4_1 doi: 10.1051/0004-6361:20000455 – ident: e_1_2_1_7_1 doi: 10.1086/308344 – ident: e_1_2_1_9_1 doi: 10.1007/BF00768779 – ident: e_1_2_1_5_1 doi: 10.1029/JA095iA07p10525 – ident: e_1_2_1_3_1 doi: 10.1029/1999JA000276 – ident: e_1_2_1_12_1 doi: 10.1029/1999RG900010 – ident: e_1_2_1_13_1 doi: 10.1029/96JA00612 – ident: e_1_2_1_6_1 doi: 10.1086/309059 – ident: e_1_2_1_10_1 doi: 10.1029/96JA01743  | 
    
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| Snippet | The long‐term nonlinear evolution of monochromatic large‐amplitude Alfvén waves in oblique propagation is studied via one‐dimensional magnetohydrodynamic (MHD)... The long-term nonlinear evolution of monochromatic large-amplitude Alfven waves in oblique propagation is studied via one-dimensional magnetohydrodynamic (MHD)...  | 
    
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| SubjectTerms | Astronomy Earth, ocean, space Exact sciences and technology Interplanetary space Solar system Solar wind plasma  | 
    
| Title | Parametric decay of oblique arc-polarized Alfvén waves | 
    
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