Abstract
Solitary small-scale and long-lived magnetic structures observed on the solar photosphere, so-called facular knots, are investigated on the base of Solar Dynamics Observatory (SDO) data. The long-term variations of the magnetic field and the emission in UV-lines with periods in the range of 25–250 minutes are revealed in the facular knots. The statistically significant oscillatory modes for each object under the study are found by the Empirical Mode Decomposition (EMD) method. It is noted that, although the object keeps its structural identity, during all its lifetime, their parameters, such as the strength of magnetic field, area on the magnetograms and on the intensity maps, the intensities in white light and other quantities can vary significantly. These variations change the effective rigidity of the system (the response of the system to the external disturbances), and it change radically the character of oscillations. Quasi-periodic variations of the magnetic field of facular knots with periods from one to several hours can be interpreted as an specific eigen oscillations of the system as a whole, having a time-varying rigidity. A simple analytical model is proposed to describe the observed oscillations of the facular knots.
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References
Chelpanov, A.A., Kobanov, N.I., Kolobov, D.Y.: Sol. Phys. 291, 3329 (2016). https://doi.org/10.1007/s11207-016-0954-6
Couvidat, S., Schou, J., Shine, R.A., Bush, R.I., Miles, J.W., Scherrer, P.H., Rairden, R.L.: Sol. Phys. 275, 285 (2012). https://doi.org/10.1007/s11207-011-9723-8
Duvall, T.L., D’Silva, S., Jefferies, S.M., Harvey, J.W., Schou, J.: Nature 379, 235 (1996). https://doi.org/10.1038/379235a0
Efremov, V.I., Parfinenko, L.D., Solov’ev, A.A.: Sol. Phys. 291, 3357 (2016). https://doi.org/10.1007/s11207-016-1021-z
Efremov, V.I., Solov’ev, A.A., Parfinenko, L.D., Riehokainen, A., Kirichek, E., Smirnova, V.V., Varun, Y.N., Bakunina, I., Zhivanovich, I.: Astrophys. Space Sci. 363, 61 (2018). https://doi.org/10.1007/s10509-018-3284-3. arXiv:1802.06379
Flandrin, P., Rilling, G., Goncalves, P.: IEEE Signal Process. Lett. 11, 112 (2004). https://doi.org/10.1109/LSP.2003.821662
Foullon, C., Verwichte, E., Nakariakov, V.M.: Astrophys. J. 700, 1658 (2009). https://doi.org/10.1088/0004-637X/700/2/1658
Freeland, S.L., Handy, B.N.: Sol. Phys. 182, 497 (1998). https://doi.org/10.1023/A:1005038224881
Howe, R., Christensen-Dalsgaard, J., Hill, F., Komm, R.W., Larsen, R.M., Schou, J., Thompson, M.J., Toomre, J.: Astrophys. J. Lett. 533, 163 (2000). https://doi.org/10.1086/312623. arXiv:astro-ph/0003121
Huang, N.E., Shen, Z., Long, S.R., Wu, M.C., Shih, H.H., Zheng, Q., Yen, N.-C., Tung, C.C., Liu, H.H.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 454, 903 (1998). https://doi.org/10.1098/rspa.1998.0193
Jess, D.B., Verth, G.: Ultra-high-resolution observations of MHD waves in photospheric magnetic structures. In: Low-Frequency Waves in Space Plasmas. Geophysical Monograph Series, vol. 216, p. 449. Am. Geophys. Union, Washington (2016). https://doi.org/10.1002/9781119055006.ch26. arXiv:1502.06960
Kobanov, N.I., Pulyaev, V.A.: Sol. Phys. 268, 329 (2011). https://doi.org/10.1007/s11207-010-9581-9. arXiv:1110.1444
Kolotkov, D.Y., Anfinogentov, S.A., Nakariakov, V.M.: Astron. Astrophys. 592, A153 (2016). https://doi.org/10.1051/0004-6361/201628306
Kolotkov, D.Y., Smirnova, V.V., Strekalova, P.V., Riehokainen, A., Nakariakov, V.M.: Astron. Astrophys. 598, 2 (2017). https://doi.org/10.1051/0004-6361/201629951
Kosovichev, A.G.: Astrophys. J. Lett. 461, 55 (1996). https://doi.org/10.1086/309989
Kosovichev, A.G.: Sol. Phys. 279, 323 (2012). https://doi.org/10.1007/s11207-012-9996-6. arXiv:1010.4927
Kostik, R., Khomenko, E.: Astron. Astrophys. 589, 6 (2016). https://doi.org/10.1051/0004-6361/201527419. arXiv:1602.03369
Martínez González, M.J., Asensio Ramos, A., Manso Sainz, R., Khomenko, E., Martínez Pillet, V., Solanki, S.K., López Ariste, A., Schmidt, W., Barthol, P., Gandorfer, A.: Astrophys. J. Lett. 730, 37 (2011). https://doi.org/10.1088/2041-8205/730/2/L37. arXiv:1103.0145
Nagovitsyn, Y.A., Nagovitsyna, E.Y.: Geomagn. Aeron. 51, 1049 (2011). https://doi.org/10.1134/S001679321108024X
Nakariakov, V.M., Stepanov, A.V.: In: Klein, K.-L., MacKinnon, A.L. (eds.) The High Energy Solar Corona: Waves, Eruptions, Particles. Lecture Notes in Physics, vol. 725, p. 221. Springer, Berlin (2007)
Nakariakov, V.M., Aschwanden, M.J., van Doorsselaere, T.: Astron. Astrophys. 502, 661 (2009). https://doi.org/10.1051/0004-6361/200810847
Nayfeh, A.H.: Introduction to Perturbation Techniques. A Wiley-Interscience Publication. Wiley, New York (1981)
Riehokainen, A., Strecalova, P.V., Solov’ev, A.A., Smirnova, V.V., Zhivanovich, I.: Astron. Astrophys. (2019, submitted)
Scherrer, P.H., Schou, J., Bush, R.I., Kosovichev, A.G., Bogart, R.S., Hoeksema, J.T., Liu, Y., Duvall, T.L., Zhao, J., Title, A.M., Schrijver, C.J., Tarbell, T.D., Tomczyk, S.: Sol. Phys. 275, 207 (2012). https://doi.org/10.1007/s11207-011-9834-2
Schou, J., Scherrer, P.H., Bush, R.I., Wachter, R., Couvidat, S., Rabello-Soares, M.C., Bogart, R.S., Hoeksema, J.T., Liu, Y., Duvall, T.L., Akin, D.J., Allard, B.A., Miles, J.W., Rairden, R., Shine, R.A., Tarbell, T.D., Title, A.M., Wolfson, C.J., Elmore, D.F., Norton, A.A., Tomczyk, S.: Sol. Phys. 275, 229 (2012). https://doi.org/10.1007/s11207-011-9842-2
Smirnova, V., Riehokainen, A., Solov’ev, A., Kallunki, J., Zhiltsov, A., Ryzhov, V.: Astron. Astrophys. 552, 23 (2013). https://doi.org/10.1051/0004-6361/201219600
Solov’ev, A., Kirichek, E.: Astrophys. Space Sci. 352, 23 (2014). https://doi.org/10.1007/s10509-014-1881-3
Solov’ev, A.A., Kirichek, E.A., Efremov, V.I.: Geomagn. Aeron. 57, 1101 (2017). https://doi.org/10.1134/S0016793217080229
Strekalova, P., Nagovitsyn, Y.A., Riehokainen, A., Smirnova, V.: Geomagn. Aeron. 56, 1 (2016). https://doi.org/10.1134/S001679321
Verwichte, E., Marsh, M., Foullon, C., Van Doorsselaere, T., De Moortel, I., Hood, A.W., Nakariakov, V.M.: Astrophys. J. Lett. 724, 194 (2010). https://doi.org/10.1088/2041-8205/724/2/L194
Wu, Z., Huang, N.E.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 460, 1597 (2004). https://doi.org/10.1098/rspa.2003.1221
Yuan, D., Nakariakov, V.M., Chorley, N., Foullon, C.: Astron. Astrophys. 533, 116 (2011). https://doi.org/10.1051/0004-6361/201116933
Zhao, J., Kosovichev, A.G., Duvall, T.L. Jr.: Astrophys. J. 557, 384 (2001). https://doi.org/10.1086/321491
Acknowledgements
We thank the team of space observatory SDO for the opportunity use high quality data for the study of facular solar areas.
The work was supported by Russian Foundation for Basic Research (projects No. 18-02-00168 and 16-02-00749). A. Solov’ev and V.V. Smirnova thank the Russian Science Foundation for the support (project No. 15-12-20001 and No. 16-12-4048 respectively).
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Solov’ev, A.A., Strekalova, P.V., Smirnova, V.V. et al. Eigen oscillations of facular knots. Astrophys Space Sci 364, 29 (2019). https://doi.org/10.1007/s10509-019-3515-2
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DOI: https://doi.org/10.1007/s10509-019-3515-2