Abstract
The features of parallel and antiparallel propagating nonlinear Alfvén wave modes were investigated, within the context of Hall-MHD system, in high-frequency plasma modulation regime. The results reveal that the Alfvén instability can be generated in an unstable regimes with the growth rate \(\sim 10^2-10^4 s^{-1}\). The wave profile steepening can occur due to the coupling of Alfvén modes by the nonlinear transport mechanism of wave energy to high-frequency region of wave spectrum. The coupling leads to the generation of left-hand-polarized Alfvén wave followed by the right-hand-polarized wave packets in both cases of wave propagating parallel and antiparallel to the background magnetic field. These structures concerning to the interaction of excited Alfvén wave with beam–plasma instabilities can be important for particle heating and transport in space plasma systems as well as energetic particle loss in fusion plasmas.
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References
H. Alfvén, Existence of electromagnetic-hydrodynamic waves. Nature 150, 405 (1942)
C.A. González, A. Tenerani, M. Velli, P. Hellinger, The role of parametric instabilities in turbulence generation and proton heating: hybrid simulations of parallel-propagating alfvén waves. Astrophys. J. 904, 81 (2020)
J.S. Zaho, Y. Voitenko, J.D. Keyser, D.J. Wu, Nonlinear decay of alfvén waves driven by interplaying two- and three-dimensional nonlinear interactions. Astrophys. J. 857, 42 (2018)
Y. Nariyuki, T. Hada, K. Tsubouchi, Nonlinear dissipation of circularly polarized alfvén waves due to the beam-induced obliquely propagating waves. Phys. Plasmas. 19, 082317 (2012)
H. Comişel, Y. Nariyuki, Y. Narita, U. Motschmann, On heating of solar wind protons by the parametric decay of large-amplitude Alfvén waves. Ann. Geophys. 36, 1647 (2018)
C.A. González, A. Tenerani, L. Matteini, P. Hellinger, M. Velli, Proton energization by phase steepening of parallel-propagating alfvénic fluctuations. Astrophys. J. Lett. 914, 36 (2021)
E. Lichko, J. Egedal, W. Daughton, J. Kasper, Magnetic pumping as a source of particle heating and power-law distributions in the solar wind. Astrophys. J. Lett. 850, 28 (2017)
A. Barnes, J.V. Hollweg, Large-amplitude hydromagnetic waves. J. Geophys. Res. 79, 2302–2318 (1974)
T.A. Carter, B. Brugman, Strong nonlinear beat-wave interaction between co-propagating shear kinetic Alfvén waves observed. Phys. Rev. Lett. 96, 155001 (2006)
D.J. Wu, L. Chen, Excitation of kinetic Alfvén waves by density striation in magneto-plasmas. Astrophys. J. 771, 3 (2013)
L.L. Wang, Nonlinear Plasma Theory (Springer, Berlin, 2011)
D.G. Swanson, Plasma Waves (Acadameic Press, Boston, 1989)
E.M. Lifshitz, L.P. Pitaevskii, Physical Kinetics (Butterworth-Heinemann, Oxford, 1981)
A. Lazarian, A. Beresnyak, Cosmic ray scattering in compressible turbulence. Mon. Not. R. Astron. Soc. 373, 1195 (2006)
L. Chen, F. Zonca, Physics of Alfvén waves and energetic particles in burning plasmas. Rev. Mod. Phys. 88, 015008 (2016)
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Nassiri-Mofakham, N. Nonlinear coupling of Alfvén waves in a driven magnetohydrodynamic turbulence. Eur. Phys. J. Plus 137, 1052 (2022). https://doi.org/10.1140/epjp/s13360-022-03214-4
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DOI: https://doi.org/10.1140/epjp/s13360-022-03214-4