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Quasi-periodic pulsations and diagnostics of flaring plasma

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Abstract

Two approaches in the interpretation of quasi-periodic pulsations in solar and stellar flares are presented. The first presents flaring loops as resonators for magneto-hydrodynamic (MHD) oscillations. Leaky and non-leaky modes are discussed. The second approach is based on Alfvén’s idea of the flaring loop as an equivalent electric circuit. This approach naturally explains high-quality pulsations. It is shown that coronal seismology provides an efficient diagnostic tool for flare plasma on the Sun, red dwarfs, and in giant flares on neutron stars.

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References

  • Alfvén, H., Cosmic Plasma, Dordrecht: D. Reidel, 1981, p. 178.

    Book  Google Scholar 

  • Alfvén, H. and Carlqvist, P., Currents in the solar atmosphere and a theory of solar flares, Solar Phys., 1967, vol. 1, no. 2, pp. 220–228.

    Article  Google Scholar 

  • Ashwanden, M., Physics of the Solar Corona. An Introduction with Problem and Solutions, Berlin, Heidelberg, New York: Springer-Verlag, 2005.

    Google Scholar 

  • Cally, P.S., Note on the initial value problem for coronal loop kink waves, Solar Phys., 2006, vol. 233, no. 1, pp. 79–87.

    Article  Google Scholar 

  • Cargill, P.J., Ghen, J., and Garren, D.A., Oscillations and evolution of curved current-carrying loops in the solar corona, Astrophys. J., 1994, vol. 423, pp. 854–871.

    Article  Google Scholar 

  • De Moortel, I. and Nakariakov, V.M., Magnetohydrodynamic waves and coronal seismology: an overview of recent results, Phil. Trans. R. Soc., Ser. A, 2012, vol. 370, no. 1970, pp. 3193–3216.

    Article  Google Scholar 

  • Doschek, G.A., The electron density in the localized bright regions at the tops of flare loops, Proc. Kofu Symp. “New Look at the Sun with Emphasis on Advanced Observations of Coronal Dynamics and Flares”, Enome, S. and Hirayama, T., NRO Rep., 1994, no. 360, pp. 173–175.

    Google Scholar 

  • Dulk, G.A., Radio emission from the sun and stars, Ann. Rev. Astron. Astrophys., 1985, vol. 23, pp. 169–224.

    Article  Google Scholar 

  • Edwin, P.M. and Roberts, B., Wave propagation in a magnetic cylinder, Solar Phys., 1983, vol. 88, pp. 179–191.

    Article  Google Scholar 

  • Fleishman, G.D., Bastian, T.S., and Gary, D.E., Broadband quasi-periodic radio and X-ray pulsations in a solar flare, Astrophys. J., 2008, vol. 684, no. 2, pp. 1433–1447.

    Article  Google Scholar 

  • Hain, K. and Lüst, R., Zur stabilität zylindersymmetrischer Plasmakon gyrationen mit Volumenströmen, Z. Naturforsch, 1958, vol. 13a, no. 11, pp. 936–940.

    Google Scholar 

  • Haisch, B.M., 1983, Activity in Red-Dwarf Stars, Birne, P.B. and Rodono, M., Eds., 1983, IAU Colloq. 71, Reidel, 255.

  • Ji Haisheng, Cao, W., and Goode, P.R., Observation of ultrafine channels of solar corona heating, Astrophys. J. Lett., 2012, vol. 750, no. 1, pp. L25–L29.

    Article  Google Scholar 

  • Ionson, J., Resonant electrodynamic heating of stellar coronal loops—an LRC circuit analog, Astrophys. J., 1982, vol. 254, pp. 318–334.

    Article  Google Scholar 

  • Kaufmann, P., de Castro, C.G.G., Correa E., Costa, E.R., Raulin, J.-P., and Válio, A.S., Rapid pulsations in sub-THz solar bursts, Astrophys. J., 2009, vol. 697, no. 1, pp. 420–427.

    Article  Google Scholar 

  • Khodachenko, M.L. and Zaitsev, V.V., Formation of intensive magnetic flux tubes in a converging flow of partially ionized solar photospheric plasma, Astrophys. Space Sci., 2002, vol. 279, no. 4, pp. 389–410.

    Article  Google Scholar 

  • Khodachenko, M.L., Zaitsev, V.V., Kislyakov, A.G., and Stepanov, A.V., Equivalent electric circuit models of coronal magnetic loops and related oscillatory phenomena on the Sun, Space Sci. Rev., 2009, vol. 143, no. 1–4, pp. 83–117.

    Article  Google Scholar 

  • Kopylova, Yu.G., Melnikov, A.V., Stepanov, A.V., Tsap, Yu.T., and Goldvarg, T.B., Oscillations of coronal loops and second pulsations of solar radio emission, Astron. Lett., 2007, vol. 33, no. 10, pp. 706–713.

    Article  Google Scholar 

  • Kopylova, Yu.G., Stepanov, A.V., and Tsap, Yu.T., Radial oscillations of coronal loops and microwave radiation from solar flares, Astron. Lett., 2002, vol. 28, no. 11, pp. 783–791.

    Article  Google Scholar 

  • Malov, I.F., Do magnetars really exist?, Astron. Rep., 2012, vol. 56, no. 1, pp. 29–34.

    Article  Google Scholar 

  • Mathioudakis, M., Bloomfield, D.S., Jess, D.B., Dhillon, V.S., and Marsh, T.R., The periodic variations of a white-light flare observed with ULTRACAM, Astron. Astrophys., 2006, vol. 456, no. 1, pp. 323–327.

    Article  Google Scholar 

  • Meerson, B.I., Sasorov, P.V., and Stepanov, A.V., Pulsations of type IV solar radio emission: the bounce-resonance effects, Solar Phys., 1978, vol. 58, pp. 165–179.

    Article  Google Scholar 

  • McLean, D.J. and Sheridan, K.V., A damped train of regular meter-wave pulses from the Sun, Solar Phys., 1973, vol. 32, pp. 485–489.

    Article  Google Scholar 

  • Mikhalyaev, B.B. and Soloviev, A.A., The oscillations of coronal loops including the shell, Solar Phys., 2005, vol. 227, no. 1, pp. 249–263.

    Article  Google Scholar 

  • Nakariakov, V.M., Melnikov, V.F., and Reznikova, V.E., Global sausage modes of coronal loops, Astron. Astrophys., 2003, vol. 412, pp. L7–L10.

    Article  Google Scholar 

  • Nakariakov, V.M. and Erdélyi, R., Solar Coronal Seismology, Space Sci. Rev., 2009, vol. 149, no. 1-4.

    Google Scholar 

  • Nakariakov, V.M. and Stepanov, A.V. Quasi-periodic pulsations as a diagnostic tool for coronal plasma parameters, Lect. Not. Phys., 2007, vol. 725, pp. 221–250.

    Article  Google Scholar 

  • Nakariakov, V.V. and Verwichte, E., Coronal waves and oscillations, Living Rev. Solar Phys., 2005, vol. 2, no. 3.

    Google Scholar 

  • Nisticò, G., Nakariakov, V.M., and Verwichte, E., Decaying and decayless transverse oscillations of a coronal loop, Astron. Astrophys., 2013, vol. 552, no. A57, pp. 1–6.

    Google Scholar 

  • Oliver, R., Prominence seismology using small amplitude oscillations, Space Sci. Rev., 2009, vol. 149,nos. 1–4, pp. 175–197.

    Article  Google Scholar 

  • Qin, Z., Li, C., Fu, Q., and Gao, Z., Dual pulsations in solar radio bursts at short centimeter wavelengths, Solar Phys., 1996, vol. 163, no. 2, pp. 383–396.

    Article  Google Scholar 

  • Rea, N., Esposito, P., Turolla, R., Israel, G.I., Zane, S., Stella, L., Mereghetti, S., Tiengo, A., Götz, D., Gögüs, E., and Kouveliotou, C., A low-magnetic-field Soft Gamma Repeater, Science, 2010, vol. 330, no. 6006, pp. 944–946.

    Article  Google Scholar 

  • Rosenberg, H., Evidence for MHD pulsations in the solar corona, Astron. Astrophys., 1970, vol. 9, pp. 159–161.

    Google Scholar 

  • Ruderman, M.S., The effect of flows on transverse oscillations of coronal loops, Solar Phys., 2010, vol. 267, no. 2, pp. 377–391.

    Article  Google Scholar 

  • Ruderman, M.S. and Roberts, B., Leaky and non-leaky kink oscillations of magnetic flux tubes, J. Plasma Phys., 2006a, vol. 72, no. 2, pp. 285–308.

    Article  Google Scholar 

  • Ruderman, M.S. and Roberts, B., Comment on “Note on the initial value problem for coronal loop kink waves”, Cally, P.S., Ed., Solar Phys., 2006b, vol. 237, no. 1, pp. 119–121.

    Article  Google Scholar 

  • Ryutov, D.A. and Ryutova, M.P., Sound oscillations in a plasma with “magnetic filaments”, JETP, 1976, vol. 43, pp. 491–499.

    Google Scholar 

  • Sen, N.K. and White, M.L., A physical mechanism for the production of solar flares, Solar Phys., 1972, vol. 23. pp. 146–154.

    Article  Google Scholar 

  • Severny, A.B., Solar magnetic fields, Space Sci. Rev., 1964, vol. 3. pp. 451–486.

    Article  Google Scholar 

  • Sharykin, I.N. and Kosovichev, A.G., Fine structure of flare ribbons and evolution of electric currents, Astrophys. J. Lett., 2014, vol. 788, no. 1, pp. L18–L25.

    Article  Google Scholar 

  • Sommerfeld, A., Partial Differential Equations in Physics, New York: Academic Press, 1949.

    Google Scholar 

  • Spangler, S.R., A technique for measuring electrical currents in the solar corona, Astrophys. J., 2007, vol. 670, no. 1, pp. 841–848.

    Article  Google Scholar 

  • Spruit, H.C., Propagation speeds and acoustic damping of waves in magnetic flux tubes, Solar Phys., 1982, vol. 75, pp. 3–17.

    Article  Google Scholar 

  • Stenflo, J.O., A mechanism for the build-up of flare energy, Solar Phys., 1969, vol. 8, no. 1, pp. 115–118.

    Article  Google Scholar 

  • Stepanov, A.V., Kliem, B., Zaitsev, V.V., Fürst, E., Jessner, A., Krüger, A., Hildebrandt, J., and Schmitt, J.H.M.M., Microwave plasma emission of a flare on AD Leo, Astron. Astrophys., 2001, vol. 374, pp. 1072–1084.

    Article  Google Scholar 

  • Stepanov, A.V., Kopylova, Yu.G., Tsap, Yu.T., and Koupriyanova, E.G., Oscillations of optical emission from flare stars and coronal loop diagnostics, Astron. Lett., 2005, vol. 31, no. 9, pp. 612–619.

    Article  Google Scholar 

  • Stepanov, A.V., Zaitsev, V.V., Kisliakov, A.G., and Urpo, S., Parametric interaction of coronal loops with p-modes, Comm. Asteroseismology, 2009, vol. 159, pp. 30–32.

    Article  Google Scholar 

  • Stepanov, A.V., Zaitsev, V.V., and Nakariakov, V.M., Coronal Seismology: Waves and Oscillations in Stellar Coronae, WILEY-VCH Verlag GmbH&Co., 2012, p. 221.

    Book  Google Scholar 

  • Stepanov, A.V., Zaitsev, V.V., and Valtaoja, E., On the origin of the high-Q high-frequency oscillations of magnetars, Astron. Lett., 2011, vol. 37, no. 4, pp. 276–280.

    Article  Google Scholar 

  • Strohmayer, T.E. and Watts, A.L., The 2004 hyperflare from SGR 1806-20: further evidence for global torsional vibrations, Astrophys. J., 2006, vol. 653, no. 1, pp. 593–601.

    Article  Google Scholar 

  • Thompson, C. and Duncan, R.C., The giant flare of 1998 August 27 from SGR 1900+14, II: Radiative mechanism and physical constraints on the source, Astrophys. J., 2001, vol. 561, no. 2, pp. 980–1005.

    Article  Google Scholar 

  • Tsap, Yu.T., Stepanov, A.V., Kopylova, Yu.G., and Zhilyaev, B.E., Diagnostics of a flare on EQ Peg B from optical pulsations, Astron. Lett., 2011, vol. 37, no. 1, pp. 49–54.

    Article  Google Scholar 

  • Uralov, A.M., The resonant excitation of transverse oscillations in coronal loops, Astron. Lett., 2003, vol. 29, pp. 486–493.

    Article  Google Scholar 

  • Zaitsev, V.V., A pulsating regime of stream instability and the origin of “Rain” type radio bursts, Solar Phys., 1971, vol. 20, no. 1, pp. 95–105.

    Article  Google Scholar 

  • Zaitsev, V.V., Kislyakova, K.S., Altyntsev, A.T., and Meshalkina, N.S., Dynamics of the electrical currents in coronal magnetic loops, Astrophys. Space Sci. Proc., 2012, vol. 30, pp. 47–60.

    Article  Google Scholar 

  • Zaitsev, V.V., Kislyakov, A.G., Stepanov, A.V., Kliem, B., and Fürst, E., Pulsating microwave emission from the star AD Leo, Astron. Lett., 2004, vol. 30, pp. 319–324.

    Article  Google Scholar 

  • Zaitsev, V.V., Kislyakov, A.G., Urpo, S., Stepanov, A.V., and Shkelev, E.I., Spectral-temporal evolution of low-frequency pulsations in the microwave radiation of solar flares, Astron. Rep., 2003, vol. 47, no. 10, pp. 873–882.

    Article  Google Scholar 

  • Zaitsev, V.V. and Kruglov, A.A., Electrical currents in coronal magnetic loops, Radiophys. Quantum Electron., 2009, vol. 52, no. 5–6, pp. 323–331.

    Article  Google Scholar 

  • Zaitsev, V.V. and Stepanov, A.V., On the origin of pulsations in type IV solar radio emission: oscillations of plasma cylinder, Issled. Geomagn. Aeron. Fiz. Solntsa, 1975, vol. 37, pp. 3–10.

    Google Scholar 

  • Zaitsev, V.V. and Stepanov, A.V., Towards the circuit theory of solar flares, Solar Phys., 1992, vol. 139, no. 2, pp. 343–356.

    Article  Google Scholar 

  • Zaitsev, V.V., Stepanov, A.V., and Kaufmann, P., On the origin of pulsations of sub-THz emission from solar flares, Solar Phys., 2014, vol. 289, pp. 3017–3032.

    Article  Google Scholar 

  • Zaitsev, V.V., Stepanov, A.V., and Melnikov, V.F., Sub-terahertz emission from solar flares: the plasma mechanism of chromospheric emission, Astron. Lett., 2013, vol. 39, no. 9, pp. 650–659.

    Article  Google Scholar 

  • Zaitsev, V.V., Stepanov, A.V., Urpo, S., and Pohjolainen, S., LRC-circuit analog of current-carrying magnetic loop: diagnostics of electric parameters, Astron. Astrophys., 1998, vol. 337, pp. 887–896.

    Google Scholar 

  • Zaqarashvili, T.V. and Erdélyi, R., Oscillations and waves in solar spicules, Space Sci. Rev., 2009, vol. 149, no. 1–4, pp. 355–388.

    Article  Google Scholar 

  • Zhilyaev, B.E., Romanyuk, Ya.O., Verlyuk I.A., Svyatogorov, O.A., Khalack, V.R., Sergeev, A.V., Konstantinova-Antova, R.K., and Antov, A.P., Detection of high-frequency optical oscillations on the flare star EV Lacertae, Astron. Astrophys., 2000, vol. 364, pp. 641–645.

    Google Scholar 

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  1. Pulkovo Observatory, Saint Petersburg, Russia

    A. V. Stepanov

  2. Institute of Applied Physics, Nizhny Novgorod, Russia

    V. V. Zaitsev

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  1. A. V. Stepanov
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Stepanov, A.V., Zaitsev, V.V. Quasi-periodic pulsations and diagnostics of flaring plasma. Geomagn. Aeron. 54, 969–981 (2014). https://doi.org/10.1134/S0016793214080167

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