Abstract
Deciphering and understanding the small-scale magnetic activity of the quiet solar photosphere should help to solve many of the key problems of solar and stellar physics, such as the magnetic coupling to the outer atmosphere and the coronal heating1,2,3. At present, we can see only ∼1 per cent of the complex magnetism of the quiet Sun1,4,5,6,7, which highlights the need to develop a reliable way to investigate the remaining 99 per cent. Here we report three-dimensional radiative transfer modelling of scattering polarization in atomic and molecular lines that indicates the presence of hidden, mixed-polarity fields on subresolution scales. Combining this modelling with recent observational data8,9,10,11, we find a ubiquitous tangled magnetic field with an average strength of ∼130 G, which is much stronger in the intergranular regions of solar surface convection than in the granular regions. So the average magnetic energy density in the quiet solar photosphere is at least two orders of magnitude greater than that derived from simplistic one-dimensional investigations12,13, and sufficient to balance radiative energy losses from the solar chromosphere.
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References
Stenflo, J. O. Solar Magnetic Fields: Polarized Radiation Diagnostics (Kluwer, Dordrecht, 1994)
Schrijver, C. J. et al. Large-scale coronal heating by the small-scale magnetic field of the Sun. Nature 394, 152–154 (1998)
Schrijver, C. J. & Title, A. The magnetic connection between the solar photosphere and the corona. Astrophys. J. 597, L165–L168 (2003)
Lin, H. & Rimmele, T. The granular magnetic fields of the quiet Sun. Astrophys. J. 514, 448–455 (1999)
Sánchez Almeida, J. & Lites, B. Physical properties of the solar magnetic photosphere under the MISMA hypothesis. II. Network and internetwork fields at the disk center. Astrophys. J. 532, 1215–1229 (2000)
Domínguez Cerdeña, I., Kneer, F. & Sánchez Almeida, J. Quiet-Sun magnetic fields at high spatial resolution. Astrophys. J. 582, L55–L58 (2003)
Khomenko, E., Collados, M., Solanki, S. K., Lagg, A. & Trujillo Bueno, J. Quiet-Sun internetwork magnetic fields observed in the infrared. Astron. Astrophys. 408, 1115–1135 (2003)
Stenflo, J. O., Bianda, M., Keller, C. & Solanki, S. K. Center-to-limb variation of the second solar spectrum. Astron. Astrophys. 322, 985–994 (1997)
Trujillo Bueno, J., Collados, M., Paletou, F. & Molodij, G. in Advanced Solar Polarimetry: Theory, Observations and Instrumentation (ed. Sigwarth, M.) 141–149 (ASP Conf. Ser. Vol. 236, Astronomical Society of the Pacific, San Francisco, 2001)
Bommier, V. & Molodij, G. Some THEMIS-MTR observations of the second solar spectrum (2000 campaign). Astron. Astrophys. 381, 241–252 (2002)
Gandorfer, A. The Second Solar Spectrum Vol. 1, 4625 Å to 6995 Å (vdf, Zurich, 2000)
Faurobert-Scholl, M., Feautrier, N., Machefert, F., Petrovay, K. & Spielfiedel, A. Turbulent magnetic fields in the solar photosphere: diagnostics and interpretation. Astron. Astrophys. 298, 289–302 (1995)
Faurobert, M., Arnaud, J., Vigneau, J. & Frisch, H. Investigation of weak solar magnetic fields. New observational results for the Sr i 460.7 nm linear polarization and radiative transfer modeling. Astron. Astrophys. 378, 627–634 (2001)
Hanle, W. Über magnetische Beeinflussung der Polarisation der Resonanzfluoreszenz. Z. Phys. 30, 93–105 (1924)
Trujillo Bueno, J. in Advanced Solar Polarimetry: Theory, Observations and Instrumentation (ed. Sigwarth, M.) 161–195 (ASP Conf. Ser. Vol. 236, Astronomical Society of the Pacific, San Francisco, 2001)
Stenflo, J. O. The Hanle effect and the diagnostics of turbulent magnetic fields in the solar atmosphere. Sol. Phys 80, 209–226 (1982)
Shchukina, N. & Trujillo Bueno, J. in Solar Polarization 3 (eds Trujillo Bueno, J. & Sánchez Almeida, J.) 336–343 (ASP Conf. Ser. Vol. 307, Astronomical Society of the Pacific, San Francisco, 2003)
Asplund, M., Nordlund, Å., Trampedach, R., Allende Prieto, C. & Stein, R. F. Line formation in solar granulation. I. Fe line shapes, shifts and asymmetries. Astron. Astrophys. 359, 729–742 (2000)
Cattaneo, F. On the origin of magnetic fields in the quiet photosphere. Astrophys. J. 515, L39–L42 (1999)
Stein, R. F. & Nordlund, Å. in Modelling of Stellar Atmospheres (eds Piskunov, N. E., Weiss, W. W. & Gray, D. F.), 169–180 (ASP Conf. Ser. Vol. IAU 210, Astronomical Society of the Pacific, San Francisco, 2003)
Socas-Navarro, H. & Sánchez Almeida, J. Magnetic fields in the quiet Sun: observational discrepancies and unresolved structure. Astrophys. J. 593, 581–586 (2003)
Sánchez Almeida, J., Emonet, T. & Cattaneo, F. Polarization of photospheric lines from turbulent dynamo simulations. Astrophys J. 585, 536–552 (2003)
Trujillo Bueno, J., Casini, R., Landolfi, M. & Landi Degl'Innocenti, E. The physical origin of the scattering polarization of the Na i D lines in the presence of weak magnetic fields. Astrophys J. 566, L53–L57 (2002)
Landi Degl'Innocenti, E. Evidence against turbulent and canopy-like magnetic fields in the solar chromosphere. Nature 392, 256–258 (1998)
Stenflo, J. O. in Solar Polarization 3 (eds Trujillo Bueno, J. & Sánchez Almeida, J.) 385–398 (ASP Conf. Ser. Vol. 307, Astronomical Society of the Pacific, San Francisco, 2003)
Anderson, L. S. & Athay, R. G. Model solar chromosphere with prescribed heating. Astrophys. J. 346, 1010–1018 (1989)
Priest, E. & Forbes, T. Magnetic Reconnection: MHD Theory and Applications (Cambridge Univ. Press, New York, 2000)
Landi Degl'Innocenti, E. Polarization in spectral lines: I. A unifying theoretical approach. Sol. Phys. 85, 3–31 (1983)
Trujillo Bueno, J. in Stellar Atmosphere Modeling (eds Hubeny, I., Mihalas, D. & Werner, K.) 551–582 (Asp Conf. Ser. Vol. 288, Astronomical Society of the Pacific, San Francisco, 2003)
Trujillo Bueno, J. in Solar Polarization 3 (eds Trujillo Bueno, J. & Sánchez Almeida, J.) 407–424 (ASP Conf. Ser. Vol. 307, Astronomical Society of the Pacific, San Francisco, 2003)
Acknowledgements
We thank F. Kneer, E. Landi Degl'Innocenti and F. Moreno-Insertis for scientific discussions. We are also grateful to P. Fabiani Bendicho for help with the numerical solution of the 3D radiative transfer equation. This research was supported by the Spanish Plan Nacional de Astronomía y Astrofísica and by the European Commission via the INTAS programme and the Solar Magnetism Network.
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Bueno, J., Shchukina, N. & Ramos, A. A substantial amount of hidden magnetic energy in the quiet Sun. Nature 430, 326–329 (2004). https://doi.org/10.1038/nature02669
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DOI: https://doi.org/10.1038/nature02669
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