Parametric decay of linearly polarized shear Alfvn waves in oblique propagation: One and two-dimensional hybrid simulations

Geophysical Research Letters

Volumn 37, Issue 20, 2010, Pages

  Matteini, Lorenzo ^a   Landi, Simone ^b   Del Zanna, Luca ^b   Velli, Marco ^b   Hellinger, Petr ^c  

^a OBSERVATOIRE DE PARIS   (France)

^b UNIVERSITY OF FLORENCE   (Italy)

^c INSTITUTE OF MATHEMATICS   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; ACOUSTICS; DISTRIBUTION FUNCTIONS; MAGNETIC FIELDS; SHEAR FLOW; TWO DIMENSIONAL;

BROAD BANDS; COMPRESSIVE MODE; HYBRID SIMULATION; KINETIC REGIME; LINEARLY POLARIZED; NON-LINEAR; PARALLEL COMPONENT; PARAMETRIC DECAY; PARAMETRIC INSTABILITIES; TRANSVERSE MODULATION; WAVE GENERATION; WAVE VECTOR;

ACOUSTIC WAVE PROPAGATION;

ACOUSTIC WAVE; LINEARITY; MAGNETIC FIELD; OBLIQUITY; ONE-DIMENSIONAL MODELING; PARAMETERIZATION; POLARIZATION; S-WAVE; TWO-DIMENSIONAL MODELING;

EID: 77958500854     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2010GL044806     Document Type: Article

References (17)

1. Araneda, J. A., E. Marsch, and A. F. Viñas (2007), Collisionless damping of parametrically unstable Alfvén waves, J. Geophys. Res., 112, A04104, doi:10.1029/2006JA011999.
2. Araneda, J. A., E. Marsch, and A. F. Viñas (2008), Proton core heating and beam formation via parametrically unstable Alfvén-cyclotron waves, Phys. Rev. Lett., 100, 125003, doi:10.1103/PhysRevLett.100.125003.
3. Barnes, A., and J. V. Hollweg (1974), Large-amplitude hydromagnetic waves, J. Geophys. Res., 79, 2302-2318, doi:10.1029/JA079i016p02302.
4. Belcher, J. W., and L. Davis Jr. (1971), Large-amplitude Alfvén waves in the interplanetary medium, 2, J. Geophys. Res., 76, 3534-3563.
5. Del Zanna, L. (2001), Parametric decay of oblique arc-polarized Alfvén waves, Geophys. Res. Lett., 28, 2585-2588.
6. 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, 705-718.
7. Ghosh, S., A. F. Viñas, and M. L. Goldstein (1993), Parametric instabilities of a large-amplitude circularly polarized Alfvén wave: Linear growth in two-dimensional geometries, J. Geophys. Res., 98, 15,561-15,570, doi:10.1029/93JA01534.
8. Goldstein, M. L. (1978), An instability of finite amplitude circularly polarized Alfven waves, Astrophys. J., 219, 700-704, doi:10.1086/ 155829.
9. Horbury, T. S., M. Forman, and S. Oughton (2008), Anisotropic scaling of magnetohydrodynamic turbulence, Phys. Rev. Lett., 101, 175005, doi:10.1103/PhysRevLett.101.175005.
10. Malara, F., and M. Velli (1996), Parametric instability of a large-amplitude nonmonochromatic Alfvén wave, Phys. Plasmas, 3, 4427-4433.
11. Matteini, L., S. Landi, M. Velli, and P. Hellinger (2010), Kinetics of parametric instabilities of Alfvén waves: Evolution of ion distribution functions, J. Geophys. Res., 115, A09106, doi:10.1029/2009JA014987.
12. Matthews, A. P. (1994), Current advance method and cyclic leapfrog for 2D multispecies hybrid plasma simulations, J. Comput. Phys., 112, 102-116.
13. Nariyuki, Y., T. Hada, and K. Tsubouchi (2007), Parametric instabilities of parallel propagating incoherent Alfvén waves in a finite ion beta plasma, Phys. Plasmas, 14, 122110, doi:10.1063/1.2824986.
14. Nariyuki, Y., S. Matsukiyo, and T. Hada (2008), Parametric instabilities of large-amplitude parallel propagating Alfvén waves: 2D PIC simulation, New J. Phys., 10, 083004, doi:10.1088/1367-2630/10/8/083004.
15. Passot, T., and P. L. Sulem (2003), Filamentation instability of long Alfvén waves in warm collisionless plasmas, Phys. Plasmas, 10, 3914-3921, doi:10.1063/1.1611487.
16. 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, 13,527-13,540, doi:10.1029/ 96JA00612.
17. Viñas, A. F., and M. L. Goldstein (1991), Parametric instabilities of circularly polarized large-amplitude dispersive Alfvén waves: excitation of obliquely-propagating daughter and side-band waves, J. Plasma Phys., 46, 129-152, doi:10.1017/S0022377800015993.