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 inGeophysical research letters Vol. 28; no. 13; pp. 2585 - 2588
Main Author Del Zanna, Luca
Format Journal Article
LanguageEnglish
Published Washington, DC Blackwell Publishing Ltd 01.07.2001
American Geophysical Union
Subjects
Online AccessGet full text
ISSN0094-8276
1944-8007
1944-8007
DOI10.1029/2001GL012911

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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.
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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Issue 13
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
Language English
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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
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– 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.
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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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