Abstract
Spacecraft observations show the presence, in the polar Solar Wind (SW) plasma, of outward propagating Alfvénic fluctuations with a very broadband spectrum. This is true only up to a certain frequency in the spectrum, after which a consistent amount of energy is present also in the spectra of inward propagating Alfvén and density fluctuations. A mechanism able to explain the production of inward propagating modes and density fluctuations is the parametric instability, in which Alfvén waves can decay and produce back-scattered waves and density perturbations. In this work, we show some recent results obtained with a \((2+1/2)\)D-MHD pseudo-spectral numerical code in which an attempt is made to reproduce an initial condition similar to that observed in the real SW. The evolution of the instability generates a nonlinear cascade that redistributes the energy towards the small scales in all directions. A striking feature of this evolution is the presence of a few localized, energy containing, coherent pressure-balanced structures.
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Del Zanna, L., Velli, M., Londrillo, P.: Parametric decay of circularly polarized Alfvén waves: multidimensional simulations in periodic and open domains. Astron. Astrophys. 367, 705–718 (2001)
Del Zanna, L., Matteini, L., Landi, S., Verdini, A., Velli, M.: Parametric decay of parallel and oblique Alfvén waves in the expanding solar wind. J. Plasma Phys. (2015). https://doi.org/10.1017/S0022377814000579
Frigo, M., Johnson, S.G.: The design and implementation of FFTW3. Proc. IEEE 93, 216231 (2005)
Ghosh, S., Viñas, A.F., Goldstein, M.L.: Parametric instabilities of a large-amplitude circularly polarized Alfvén wave: linear growth in two-dimensional geometries. J. Geophys. Res. 98(A9), 15561–15570 (1993)
Malara, F., Primavera, L., Veltri, P.: Nonlinear evolution of parametric instability of a large-amplitude nonmonochromatic Alfvén wave. Phys. Plasmas 7, 2866–2877 (2000)
Malara, F., Primavera, L., Veltri, P.: Nonlinear evolution of the parametric instability: numerical predictions versus observations in the heliosphere. Nonlinear Proc. Geophys. 8, 159–166 (2001)
Sagdeev, R.Z., Galeev, A.A.: Nonlinear Plasma Theory. W.A. Benjamin Inc., New York (1969)
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Primavera, L., Malara, F., Servidio, S., Nigro, G. (2019). Parametric Instability and Turbulent Cascades in Space Plasmas. In: Gorokhovski, M., Godeferd, F. (eds) Turbulent Cascades II. ERCOFTAC Series, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-12547-9_17
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DOI: https://doi.org/10.1007/978-3-030-12547-9_17
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