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Fossil magnetic field of accretion disks of young stars

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Abstract

We elaborate the model of accretion disks of young stars with the fossil large-scale magnetic field in the frame of Shakura and Sunyaev approximation. Equations of the MHD model include Shakura and Sunyaev equations, induction equation and equations of ionization balance. Magnetic field is determined taking into account ohmic diffusion, magnetic ambipolar diffusion and buoyancy. Ionization fraction is calculated considering ionization by cosmic rays and X-rays, thermal ionization, radiative recombinations and recombinations on the dust grains.

Analytical solution and numerical investigations show that the magnetic field is coupled to the gas in the case of radiative recombinations. Magnetic field is quasi-azimuthal close to accretion disk inner boundary and quasi-radial in the outer regions.

Magnetic field is quasi-poloidal in the dusty “dead” zones with low ionization degree, where ohmic diffusion is efficient. Magnetic ambipolar diffusion reduces vertical magnetic field in 10 times comparing to the frozen-in field in this region. Magnetic field is quasi-azimuthal close to the outer boundary of accretion disks for standard ionization rates and dust grain size a d=0.1 μm. In the case of large dust grains (a d>0.1 μm) or enhanced ionization rates, the magnetic field is quasi-radial in the outer regions.

It is shown that the inner boundary of dusty “dead” zone is placed at r=(0.1–0.6) AU for accretion disks of stars with M=(0.5–2) M ⊙. Outer boundary of “dead” zone is placed at r=(3–21) AU and it is determined by magnetic ambipolar diffusion. Mass of solid material in the “dead” zone is more than 3 M ⊕ for stars with M≥1 M ⊙.

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References

  • Agapitou, V., Papaloizou, J.C.B.: Astrophys. Lett. Commun. 34, 363 (1996)

    ADS  Google Scholar 

  • Alfven, H.: On the Origin of the Solar System. Clarendon Press, Oxford (1954)

    MATH  Google Scholar 

  • Andre, P., Ward-Thompson, D., Barsony, M.: Astrophys. J. 406, 122 (1993)

    Article  ADS  Google Scholar 

  • Armitage, P.J.: Astrophysics of Planet Formation, 1st edn. Cambridge university press, New York (2010)

    Google Scholar 

  • Bai, X.-N.: Astrophys. J. 772, 96 (2013)

    Article  ADS  Google Scholar 

  • Bai, X.-N., Goodman, J.: Astrophys. J. 701, 737 (2009)

    Article  ADS  Google Scholar 

  • Bai, X.-N., Stone, J.M.: Astrophys. J. 736, 144 (2011)

    Article  ADS  Google Scholar 

  • Bai, X.-N., Stone, J.M.: Astrophys. J. 769, 76 (2013)

    Article  ADS  Google Scholar 

  • Balbus, S.A., Hawley, J.F.: Astrophys. J. 376, 214 (1991)

    Article  ADS  Google Scholar 

  • Bell, K.R., Lin, D.N.C.: Astrophys. J. 427, 987 (1994)

    Article  ADS  Google Scholar 

  • Blandford, R.D., Payne, D.G.: Mon. Not. R. Astron. Soc. 199, 883 (1982)

    ADS  MATH  Google Scholar 

  • Casanova, S., Montmerle, T., Feigelson, E.D., Andre, P.: Astrophys. J. 439, 752 (1995)

    Article  ADS  Google Scholar 

  • Chapman, N.L., Davidson, J.A., Goldsmith, P.F., Houde, M., Kwon, W., Li, Z.-Y., Looney, L.W., Matthews, B., Matthews, T.G., Novak, G., Peng, R., Vaillancourt, J.E., Volgenau, N.H.: Astrophys. J. 770, 151 (2013)

    Article  ADS  Google Scholar 

  • Crutcher, R.M., Nutter, D.J., Ward-Thompson, D., Kirk, J.M.: Astrophys. J. 600, 279 (2004)

    Article  ADS  Google Scholar 

  • De Kool, M., Bicknell, G.V., Kuncic, Z.: Proc. Astron. Soc. Aust. 16, 225 (1999)

    Article  ADS  Google Scholar 

  • Donati, J.F., Paletou, F., Bouvier, J., Ferreira, J.: Nature 438, 466 (2005)

    Article  ADS  Google Scholar 

  • Dudorov, A.E.: Sov. Astron. 35(4), 342 (1991)

    ADS  Google Scholar 

  • Dudorov, A.E.: Astron. Rep. 39(6), 790 (1995)

    ADS  Google Scholar 

  • Dudorov, A.E., Khaibrakhmanov, S.A.: Bull. Chel. State. Univ. 9, 27 (2013a)

    Google Scholar 

  • Dudorov, A.E., Khaibrakhmanov, S.A.: Bull. Chel. State. Univ. 9, 40 (2013b)

    Google Scholar 

  • Dudorov, A.E., Sazonov, Y.V.: Nauchn. Inf. 63, 68 (1987)

    Google Scholar 

  • Dudorov, A.E., Zhilkin, A.G.: Astron. Rep. 52, 790 (2008)

    Article  ADS  Google Scholar 

  • Dudorov, A.E., Zhilkin, A.G., Gigineyshvili, S., Kuznetsov, O.A.: Astron. Astrophys. Trans. 22, 11 (2003)

    Article  ADS  Google Scholar 

  • Dzyurkevich, N., Flock, M., Turner, N.J., Klahr, H., Henning, T.: Astron. Astrophys. 515, 17 (2010)

    Article  Google Scholar 

  • Fang, M., van Boekel, R., Wang, W., Carmona, A., Sicilia-Aguilar, A., Henning, T.: Astron. Astrophys. 504, 461 (2009)

    Article  ADS  Google Scholar 

  • Fromang, S., Nelson, R.P.: Astron. Astrophys. 457, 343 (2006)

    Article  ADS  Google Scholar 

  • Fromang, S., Terquem, C., Balbus, S.A.: Mon. Not. R. Astron. Soc. 329, 18 (2002)

    Article  ADS  Google Scholar 

  • Gammie, C.F.: Astrophys. J. 457, 355 (1996)

    Article  ADS  Google Scholar 

  • Girart, J.M., Rao, R., Marrone, D.P.: Science 313, 812 (2006)

    Article  ADS  Google Scholar 

  • Guilet, J., Ogilvie, G.I.: Mon. Not. R. Astron. Soc. 424, 2097 (2012)

    Article  ADS  Google Scholar 

  • Hayashi, C.: Progr. Theor. Phys. Suppl. 70, 35 (1981)

    Article  ADS  Google Scholar 

  • Igea, J., Glassgold, A.E.: Astrophys. J. 480, 344 (1997)

    Article  ADS  Google Scholar 

  • Königle, A., Pudritz, R.E.: The effects of large-scale magnetic fields on disk formation and evolution. In: Garcia, P.J.V. (ed.) Physical Processes in Circumstellar Disks Around Young Stars. University of Chicago Press, Chicago (2011)

    Google Scholar 

  • Kretke, T.A., Lin, D.N.C., Garaud, P., Turner, N.J.: Astrophys. J. 690, 407 (2009)

    Article  ADS  Google Scholar 

  • Kunz, M.W., Balbus, S.A.: Mon. Not. R. Astron. Soc. 348, 355 (2004)

    Article  ADS  Google Scholar 

  • Landau, L.D., Pitaevskii, L.P., Lifshitz, E.M.: Electrodynamics of Continuous Media. Course of Theoretical Physics. Butterworth-Heinemann, Oxford (1984)

    Google Scholar 

  • Lubow, S.H., Papaloizou, J.C.B., Pringle, J.E.: Mon. Not. R. Astron. Soc. 267, 235 (1994)

    ADS  Google Scholar 

  • Martin, R.G., Lubow, S.H., Livio, M., Pringle, J.E.: Mon. Not. R. Astron. Soc. 420, 3139 (2012)

    Article  ADS  Google Scholar 

  • McKee, C.F., Ostriker, E.C.: Annu. Rev. Astron. Astrophys. 45, 565 (2007)

    Article  ADS  Google Scholar 

  • Mohanty, S., Ercolano, B., Turner, N.J.: Astrophys. J. 764, 25 (2013)

    Article  ADS  Google Scholar 

  • Nakano, T., Nakamura, T.: Publ. Astron. Soc. Jpn. 30, 671 (1978)

    ADS  Google Scholar 

  • Nakano, T., Tademaru, E.: Astrophys. J. 173, 87 (1972)

    Article  ADS  Google Scholar 

  • Okuzumi, S., Takeuchi, T., Muto, T.: Eprint arXiv:1310.7446 (2013)

  • Osterbrock, D.E.: Astrophys. J. 134, 270 (1961)

    Article  ADS  Google Scholar 

  • Parker, E.N.: Cosmical Magnetic Fields: Their Origin and Their Activity. Clarendon Press, Oxford (1979)

    Google Scholar 

  • Pikelner, S.B.: Fundamentals of Cosmic Electrodynamics. Fizmatgiz, Moscow (1961) (in Russian)

    Google Scholar 

  • Popova, O.P., Jenniskens, P., Emelýanenko, V., Kartashova, A., Biryukov, E., Khaibrakhmanov, S., Shuvalov, V., Rybnov, Y., Dudorov, A., Grokhovsky, V.I., Badyukov, D.D., Yin, Q.-Z., Gural, P.S., Albers, J., Granvik, M., Evers, L.G., Kuiper, J., Kharlamov, V., Solovyov, A., Rusakov, Y.S., Korotkiy, S., Serdyuk, I., Korochantsev, A.V., Larionov, M.Y., Glazachov, D., Mayer, A.E., Gisler, G., Gladkovsky, S.V., Wimpenny, J., Sanborn, M.E., Yamakawa, A., Verosub, K.L., Rowland, D.J., Roeske, S., Botto, N.W., Friedrich, J.M., Zolensky, M.E., Le, L., Ross, D., Ziegler, K., Nakamura, T., Ahn, I., Lee, J.I., Zhou, Q., Li, X.-H., Liu, Y., Tang, G.-Q., Hiroi, T., Sears, D., Weinstein, I.A., Vokhmintsev, A.S., Ishchenko, A.V., Schmitt-Kopplin, P., Hertkorn, N., Nagao, K., Haba, M.K., Komatsu, M., Mikouchi, T.: Science 342, 1069 (2013). doi:10.1126/science.1242642

    Article  ADS  Google Scholar 

  • Reyes-Ruiz, M., Stepinski, T.F.: Astrophys. J. 459, 653 (1996)

    Article  ADS  Google Scholar 

  • Safronov, V.S.: Evolution of the Protoplanetary Cloud and Formation of the Earth and Planets. Keter Publishing House, Jerusalem (1972)

    Google Scholar 

  • Sano, T., Miyama, S.M., Umebayashi, T., Nakano, T.: Astrophys. J. 543, 486 (2000)

    Article  ADS  Google Scholar 

  • Semenov, D., Henning, T., Helling, C., Ilgner, M., Sedlmayr, E.: Astron. Astrophys. 410, 611 (2003)

    Article  ADS  Google Scholar 

  • Shakura, N.I., Sunyaev, R.A.: Astron. Astrophys. 24, 337 (1973)

    ADS  Google Scholar 

  • Shalybkov, D., Rüdiger, G.: Mon. Not. R. Astron. Soc. 315, 762 (2000)

    Article  ADS  Google Scholar 

  • Shu, F.H., Adams, F.C., Lizano, S.: Annu. Rev. Astron. Astrophys. 25, 23 (1987)

    Article  ADS  Google Scholar 

  • Shu, F.H., Galli, D., Lizano, S., Glassgold, A.E., Diamond, P.H.: Astrophys. J. 665, 535 (2007)

    Article  ADS  Google Scholar 

  • Simon, J.B., Bai, X.-N., Stone, J.M., Armitage, P.J., Beckwith, K.: Astrophys. J. 764, 16 (2013a)

    Article  ADS  Google Scholar 

  • Simon, J.B., Bai, X.-N., Armitage, P.J., Stone, J.M., Beckwith, K.: Astrophys. J. 775, 13 (2013b)

    Article  Google Scholar 

  • Sorochenko, R.L., Smirnov, G.T.: Astron. Rep. 54, 776 (2010)

    Article  ADS  Google Scholar 

  • Spitzer, L.: Physical Processes in the Interstellar Medium. Wiley, New York (1978)

    Google Scholar 

  • Spitzer, L., Tomasko, M.G.: Astrophys. J. 152, 971 (1968)

    Article  ADS  Google Scholar 

  • Stone, J.M., Hawley, J.F., Gammie, C.F., Balbus, S.A.: Astrophys. J. 463, 656 (1996)

    Article  ADS  Google Scholar 

  • Terquem, C.: Astrophys. J. 689, 532 (2008)

    Article  ADS  Google Scholar 

  • Vorobyov, E.I., Basu, S.: Astrophys. J. 650, 956 (2006)

    Article  ADS  Google Scholar 

  • Wardle, M.: Astrophys. Space Sci. 311, 35 (2007)

    Article  ADS  Google Scholar 

  • Wardle, M., Salmeron, R.: Mon. Not. R. Astron. Soc. 422, 2737 (2012)

    Article  ADS  Google Scholar 

  • Weidenschiling, S.J.: Astrophys. Space Sci. 51, 153 (1977)

    Article  ADS  Google Scholar 

  • Williams, J.P., Cieza, L.A.: Annu. Rev. Astron. Astrophys. 49, 67 (2011)

    Article  ADS  Google Scholar 

  • Yang, H., Johns-Krull, C.M.: Astrophys. J. 729, 83 (2011)

    Article  ADS  Google Scholar 

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Acknowledgements

We thank anonymous referee for some useful comments.

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  1. Chelyabinsk State University, Chelyabinsk, Russia

    A. E. Dudorov & S. A. Khaibrakhmanov

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  1. A. E. Dudorov
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Dudorov, A.E., Khaibrakhmanov, S.A. Fossil magnetic field of accretion disks of young stars. Astrophys Space Sci 352, 103–121 (2014). https://doi.org/10.1007/s10509-014-1900-4

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