Skip to main content
Log in

Space-time structure of Alfvén resonant disturbances generated by transversally localized FMA wave

  • Published:
Geomagnetism and Aeronomy Aims and scope Submit manuscript

Abstract

This study describes the space-time evolution of the Alfvén resonant disturbance generated by a transversally localized fast magnetoacoustic (FMA) wave induced by impulse action on its localization area. We determine the conditions for the formation of qualitatively different space-time structures of Alfvén resonant disturbances under different relationships between parameters characterizing both dispersion/absorption of Alfvén disturbance and resonant absorption of transversally localized FMA waves. The spatial structures of Alfvén resonant disturbances and their time evolution are described analytically.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abramovitz, M.J. and Stegan, L.A. Handbook of Mathematical Functions, New York: Dover Publ. Co., 1970.

    Google Scholar 

  • Akhiezer, A.I., Akhiezer, I.A., Polovin, R.V., and Stepanov, K.N., Elektrodinamika plazmy (Plasma Electrodynamics), Moscow: Nauka, 1974.

    Google Scholar 

  • Chen, L. and Hasegawa, A., Plasma Heating by Spatial Resonance of Alfvén Waves, Phys. Fluids, 1974, vol. 17, pp. 1399–1403.

    Article  Google Scholar 

  • Davila, J.M., Heating of the Solar Corona by the Resonant Absorption of Alfvénn Waves, Astrophys. J., 1987, vol. 317, pp. 514–521.

    Article  Google Scholar 

  • Dmitrienko, I.S., Nonlinear Effects in Alfvén Resonance, J. Plasma Phys., 1997, vol. 57, pp. 311–326.

    Article  Google Scholar 

  • Dmitrienko, I.S., Nonlinear Non-Stationary Alfvén Resonance, J. Plasma Phys., 1999, vol. 62, pp. 145–164.

    Article  Google Scholar 

  • Dmitrienko, I.S., Nonlinear Nonstationary Alfvén Resonance in a Finite-Pressure Plasma, Plasma Phys. Rep., 2007, vol. 33,no. 7, pp. 626–636.

    Article  Google Scholar 

  • Einaudy, G. and Mok, J., Resistive Alfvén Normal Modes in a Nonuniform Plasma, J. Plasma Phys., 1985, vol. 34, pp. 259–270.

    Article  Google Scholar 

  • Goertz, G.K. and Boswell, R.W., Magnetosphere-Ionosphere Coupling, J. Geophys. Res., 1979, vol. 84A, pp. 7239–7246.

    Article  Google Scholar 

  • Guglielmi, A.V., Magnetosonic Channel below the Plasmapause Dome, Geomagn. Aeron., 1972, no. 12, pp. 147–154.

  • Hasegawa, A. and Chen, L., Kinetic Processes in Plasma Heating by Resonant Mode Conversion of Alfvén, Phys. Fluids, 1976, vol. 19, pp. 1924–1976.

    Article  Google Scholar 

  • Ionson, J.A., Resonant Absorption of Alfvénic Surface Waves and Heating of Solar Coronal Loops, Astrophys. J., 1978, vol. 226, pp. 650–673.

    Article  Google Scholar 

  • Kivelson, M.G. and Southwood, D.J., Coupling of Global Magnetospheric MHD Eigenmodes to Field Line Resonances, J. Geophys. Res., 1986, vol. 91, pp. 4345–4351.

    Article  Google Scholar 

  • Martines, V.A. and Pilinenko, V.A., Relation between Quasiperiodic Disturbances in the Magnetotail and Ground Pi2 Pulsations, Soln.-Zemn. Fiz., 2008, vol. 1, no. 12, pp. 179–180.

    Google Scholar 

  • Olver, F.W.J., Asymptotics and Special Functions, New York: Academic, 1974.

    Google Scholar 

  • Ruderman, M.S., Tiny, W., and Gossens, M., Non-Stationary Resonant Alfvén Surface Waves in One-Dimensional Magnetic Plasmas, J. Plasma Phys., 1995, vol. 54, pp. 129–148.

    Article  Google Scholar 

  • Southwood, D.G., Some Feature of Field Line Resonances in the Magnetosphere, Planet Space Sci., 1974, vol. 22, pp. 483–491.

    Article  Google Scholar 

  • Stasiewicz, K. and Bellan, P., Chaston C, et al., Small-Scale Alfvénic Structure in the Aurora, Space Sci. Rev., 2000, vol. 92,no. 3–4, pp. 423–533.

    Article  Google Scholar 

  • Stefan, J.R., Alfvén Wave Damping from Finite Gyroradius Coupling to the Ion Acoustic Mode, Phys. Fluids, 1970, vol. 13, no. A12, p. 440.

    Article  Google Scholar 

  • Swanson, D.J., Mode Conversion of Toroidal Alfvén Waves, Phys. Fluids, 1975, vol. 18, pp. 1269–1276.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © I.S. Dmitrienko, 2010, published in Solnechno-Zemnaya Fizika, 2010, Vol. 15, pp. 135–143.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dmitrienko, I.S. Space-time structure of Alfvén resonant disturbances generated by transversally localized FMA wave. Geomagn. Aeron. 50, 1025–1034 (2010). https://doi.org/10.1134/S0016793210080141

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0016793210080141

Keywords

Navigation