Abstract
The role of convection in the gas-dust accretion disk around a young star is studied. The evolution of a Keplerian disk is modeled using the Pringle equation, which describes the time variations of the surface density under the action of turbulent viscosity. The distributions of the density and temperature in the polar directions are computed simultaneously in the approximation that the disk is hydrostatically stable. The computations of the vertical structure of the disk take into account heating by stellar radiation, interstellar radiation, and viscous heating. The main factor governing evolution of the disk in this model is the dependence of the viscosity coefficient on the radius of the disk. The computations of this coefficient take into account the background viscosity providing the continuous accretion of the gas and the convective viscosity, which depends on the parameters of the convection at a given radius. The results of computations of the global evolution and morphology of the disk obtained in this approach are presented. It is shown that, in the adopted model, the accretion has burst-like character: after the inner part of the disk (\(R < 3\) AU) is filled with matter, this material is transferred relatively rapidly onto the star, after which the process is repeated. Our results may be useful for explaining the activity of young FU Ori and EX Lup objects. It is concluded that convection may be one of the mechanisms responsible for the non-steady pattern of accretion in protostellar disks.
Similar content being viewed by others
REFERENCES
P. J. Armitage, Astrophysics of Planet Formation (Cambridge University Press, Cambridge, UK, 2013).
A. G. W. Cameron, Moon and Planets 18, 5 (1978).
D. N. C. Lin and J. Papaloizou, Monthly Not. Roy. Astron. Soc. 191, 37 (1980).
H. Klahr, in Convection in Astrophysics, Ed. by F. Kupka, I. Roxburgh, and K. L. Chan, Proc. IAU Symp. 239, 405 (2006).
W. Cabot, V. M. Canuto, O. Hubickyj, and J. B. Pollack, Icarus 69, 423 (1987).
W. Cabot, V. M. Canuto, O. Hubickyj, and J. B. Pollack, Icarus 69, 387 (1987).
H. H. Klahr, T. Henning, and W. Kley, Astrophys. J. 514, 325 (1999).
H. H. Klahr and P. Bodenheimer, Astrophys. J. 582, 869 (2003) [arXiv:astro-ph/0211629].
G. M. Lipunova, N. I. Shakura, Izv. RAN. Ser. fiz. 67, 322 (2003) [in Russian].
S. Hirose, O. Blaes, J. H. Krolik, M. S. B. Coleman, and T. Sano, Astrophys. J. 787, 1 (2014) [arXiv:1403.3096].
M. S. B. Coleman, I. Kotko, O. Blaes, J. P. Lasota, and S. Hirose, Monthly Not. R. Astron. Soc. 462, 3710 (2016) [arXiv:1608.01321].
L. E. Held and H. N. Latter, Monthly Not. R. Astron. Soc. 480, 4797 (2018) [arXiv:1808.00267].
N. Shakura and K. Postnov, Monthly Not. R. Astron. Soc. 448, 3707 (2015) [arXiv:1502.01888].
N. Shakura and K. Postnov, Monthly Not. R. Astron. Soc. 451, 3995 (2015) [arXiv:1506.00526].
K. L. Malanchev, K. A. Postnov, and N. I. Shakura, Monthly Not. R. Astron. Soc. 464, 410 (2017) [arXiv:1609.03799].
J. E. Pringle, Ann. Rev. Astron. Astrophys. 19, 137 (1981).
P. J. Armitage, Ann. Rev. Astron. Astrophys. 49, 195 (2011) [arXiv:1011.1496].
J. P. Williams and L. A. Cieza, Ann. Rev. Astron. Astrophys. 49, 67 (2011) [arXiv:1103.0556].
L. Hartmann, N. Calvet, E. Gullbring, and P. D’Alessio, Astrophys. J. 495, 385 (1998).
N. I. Shakura and R. A. Sunyaev, Astron. Astrophys. 24, 337 (1973).
P. Cossins, G. Lodato, and C. J. Clarke, Monthly Not. R. Astron. Soc. 393, 1157 (2009) [arXiv:0811.3629].
L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon Press, 1959).
C. P. Dullemond, A. Natta, and L. Testi, Astrophys. J. 645, L69 (2006) [arXiv:astro-ph/0605336].
A. Chacón-Tanarro, J. E. Pineda, P. Caselli, L. Bizzocchi, et al., Astron. Astrophys. 623, id. A118 (2019) [arXiv:1901.02476].
J. Klapp, L. D. G. Sigalotti, M. Zavala, F. Pe na-Polo, and J. Troconis, Astrophys. J. 780, 188 (2014).
E. I. Vorobyov and Y. N. Pavlyuchenkov, Astron. Astrophys. 606, id. A5 (2017) [arXiv:1706.00401].
E. I. Vorobyov, Y. N. Pavlyuchenkov, and P. Trinkl, A-stron. Rep. 58, 522 (2014).
A. V. Tutukov and Y. N. Pavlyuchenkov, Astron. Rep. 48, 800 (2004).
M. Audard, P. Ábrahám, M. M. Dunham, and J. D. Green, in Protostars and Planets VI, Ed. by H. Beuther, R. S. Klessen, C. P. Dullemond, and T. K. Henning (University of Arizona Press, 2014), p. 387 [arXiv:1401.3368].
E. I. Vorobyov, V. G. Elbakyan, A. L. Plunkett, M. M. Dunham, M. Audard, M. Guedel, and O. Dionatos, Astron. and Astrophys. 613, id. A18 (2018) [arXiv:1801.06707].
A. Scholz, D. Froebrich, and K. Wood, Monthly Not. Roy. Astron. Soc. 430, 2910 (2013) [arXiv:1301.3152].
A. B. Makalkin and V. A. Dorofeeva, Solar System Research 29, 85 (1995).
A. B. Makalkin and V. A. Dorofeeva, Solar System Research 30, 440 (1996).
C. J. Hansen, S. D. Kawaler, and V. Trimble, Stellar interiors: physical principles, structure, and evolution (Springer, New York, 2004).
Z. Zhu, L. Hartmann, C. Gammie, and J. C. McKinney, Astrophys. J. 701, 620 (2009) [arXiv:0906.1595].
E. I. Vorobyov and S. Basu, Astrophys. J. 650, 956 (2006) [arXiv:astro-ph/0607118].
K. Milliner, J. H. Matthews, K. S. Long, and L. Hartmann, Monthly Not. R. Astron. Soc. 483, 1663 (2019) [arXiv:1811.12453].
A. V. Tutukov and Y. N. Pavlyuchenkov, Astron. Rep. (submitted).
ACKNOWLEDGMENTS
We thank the referee for valuable comments and constructive suggestions for improvement of the paper. We also thank A.B. Makalkin for useful discussions.
Funding
This project was supported by the Russian Foundation for Basic Research (project 17-02-00644).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by L. Yungelson
Rights and permissions
About this article
Cite this article
Pavlyuchenkov, Y.N., Tutukov, A.V., Maksimova, L.A. et al. Evolution of a Viscous Protoplanetary Disk with Convectively Unstable Regions. Astron. Rep. 64, 1–14 (2020). https://doi.org/10.1134/S1063772920010060
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063772920010060