Archives of Acoustics, 45, 3, pp. 475–481, 2020

Non-Linear Interaction of Harmonic Waves in a Quasi-Isentropic Flow of Magnetic Gas

Technical University of Gdansk

The diversity of wave modes in the magnetic gas gives rise to a wide variety of nonlinear phenomena associated with these modes. We focus on the planar fast and slow magnetosound waves in the geometry of a flow where the wave vector forms an arbitrary angle θ with the equilibrium straight magnetic field. Nonlinear distortions of a modulated signal in the magnetic gas are considered and compared to that in unmagnetised gas. The case of acoustical activity of a plasma is included into consideration. The resonant three-wave non-collinear interactions are also discussed. The results depend on the degree of non-adiabaticity of a flow, θ, and plasma-β.
Keywords: Non-linear magnetoacoustics, Adiabatical instability, Acoustic activity, Three-wave interaction
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Chin R., Verwichte E., Rowlands G., Nakariakov V.M. (2010), Self-organisation of magnetoacoustic waves in a thermal unstable environment, Physics of Plasmas, 17(32): 107–118.

Field G.B. (1965), Thermal instability, The Astrophysical Journal, 142: 531–567, doi: 10.1086/148317.

Freidberg J.P. (1987), Ideal magnetohydrodynamics, Plenum Press, New York.

Kharkevich A.A. (1965), Nonlinear and parametric phenomena in radio engineering, Iliffe Books.

Krall N.A., Trivelpiece A.W. (1973), Principles of plasma physics, McGraw Hill, New York.

Krishna Prasad S., Banerjee D., Van Doorsselaere T. (2014), Frequency-dependent damping in propagating slow magneto-acoustic waves, The Astrophysical Journal, 789(2): 118, doi: 10.1088/0004-637x/789/2/118.

Landau L.D., Lifshitz E.M. (1987), Fluid mechanics (2nd ed.), Pergamon, New York.

Landau L.D., Lifshitz E.M., Pitaevskii L.P. (1984), Electrodynamics of continuous media (2nd ed.), Pergamon, Oxford.

Leble S., Perelomova A. (2018), The dynamical projectors method: hydro and electrodynamics, CRC Press.

Molevich N.E. (2001), Sound amplification in inhomogeneous flows of nonequilibrium gas, Acoustical Physics, 47(1): 102–105, doi: 10.1134/1.1340086.

Nakariakov V.M., Mendoza-Briceno C.A., Ibánez M.H. (2000), Magnetoacoustic waves of small amplitude in optically thin quasi-isentropic plasmas, Astrophysical Journal, 528(2): 767–775, doi: 10.1086/308195.

Osipov A.I., Uvarov A.V. (1992), Kinetic and gasdynamic processes in nonequilibrium molecular physics, Soviet Physics Uspekhi, 35(11): 903–923.

Parker E.N. (1953), Instability of thermal fields, The Astrophysical Journal, 117: 431–436, doi: 10.1086/145707.

Perelomova A. (2016), On the nonlinear distortions of sound and its coupling with other modes in a gaseous plasma with finite electric conductivity in a magnetic field, Archives of Acoustics, 41(4): 691–699, doi: 10.1515/aoa-2016-0066.

Perelomova A. (2018a), Magnetoacoustic heating in a quasi-isentropic magnetic gas, Physics of Plasmas, 25(4): 042116, doi: 10.1063/1.5025030.

Perelomova A. (2018b), Magnetoacoustic heating in nonisentropic plasma caused by different kinds of heating-cooling function, Advances in Mathematical Physics, 2018: Article ID 8253210, 12 pages, doi: 10.1155/2018/8253210.

Perelomova A. (2019), Propagation of initially sawtooth periodic and impulsive signals in a quasiisentropic magnetic gas, Physics of Plasmas, 26(5): 052304, doi: 10.1063/1.5093390.

Rudenko O.V., Soluyan S.I. (1977), Theoretical foundations of nonlinear acoustics, Plenum, New York.

DOI: 10.24425/aoa.2020.134064

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