Abstract
We explore the global structure of the accretion flow around a Schwarzschild black hole where the accretion disc is threaded by toroidal magnetic fields. The accretion flow is optically thin and advection dominated. The synchrotron radiation is considered to be the active cooling mechanism in the flow. With this, we obtain the global transonic accretion solutions and show that centrifugal barrier in the rotating magnetized accretion flow causes a discontinuous transition of the flow variables in the form of shock waves. The shock properties and the dynamics of the post-shock corona are affected by the flow parameters such as viscosity, cooling rate and strength of the magnetic fields. The shock properties are investigated against these flow parameters. We further show that for a given set of boundary parameters at the outer edge of the disc, accretion flow around a black hole admits shock when the flow parameters are tuned for a considerable range.
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Aktar R., Das S., Nandi A. 2015, MNRAS, 453, 3414
Aktar R., Das S., Nandi A., Sreehari, H. 2017, MNRAS, 471, 4806
Balbus S., Hawley J. F. 1991, ApJ, 376, 214
Balbus S. 2003, ARA&A, 41, 555
Becker P. A., Kazanas D. 2001, ApJ, 546, 429
Becker P. A., Subramanian P. 2005, ApJ, 622, 520
Beckwith K., Hawley J. F., Krolik J. H. 2008, ApJ, 678, 1180
Blandford R. D., Znajek R. L. 1977, MNRAS, 179, 433
Chakrabarti S. K. 1989, ApJ, 347, 365
Chakrabarti S. K. 1990, MNRAS, 243, 610
Chakrabarti S. K. 1996, ApJ, 464, 664
Chakrabarti S. K. 1999, A&A, 351, 185
Chakrabarti S. K., Das S. 2004, MNRAS, 349, 649
Chang K. M., Ostriker J. P. 1985, ApJ, 288, 428
Chattopadhyay I., Chakrabarti S. K. 2002, MNRAS, 333, 454
Chattopadhyay I., Chakrabarti S. K. 2011, IJMPD, 20, 1597
Das, S., Chattopadhyay I., Chakrabarti S. K. 2001a, ApJ, 557, 983
Das S., Chattopadhyay I., Nandi A., Chakrabarti S. K. 2001b, A&A, 379, 683
Das S. 2007, MNRAS, 376, 1659
Das S., Chattopadhyay I., Nandi A., Molteni D. 2014, MNRAS, 442, 251
De Villiers J.-P., Hawley J. F., Krolik J. H., Hirose S. 2005, ApJ, 620, 878
Fukue J. 1987, PASJ, 39, 309
Fukue J. 1990, PASJ, 42, 793
Fukumura K., Tsuruta S. 2004, ApJ, 611, 964
Gierliński M., Newton J. 2006, MNRAS, 370, 837
Guan X., Gammie C. F. 2009, ApJ, 697, 1901
Hawley J. F. 2000, ApJ, 528, 462
Hawley J. F. 2001, ApJ, 554, 534
Hawley J. F., Krolik J. H. 2001, ApJ, 548, 348
Hawley J. F., Krolik J. H. 2002, ApJ, 566, 164
Hirose S., Krolik J. H., De Villiers J. P., Hawley J. F. 2004, ApJ, 606, 1083
Hirose S., Krolik J. H., Stone J. M. 2006, ApJ, 640, 901
Hopkins P. F., Quataert E. 2011, MNRAS, 415, 1027
Ichimaru S. 1977, ApJ, 214, 840
Igumenshchev I. V., Narayan R., Abramowicz M. A. 2003, ApJ, 592, 1042
Iyer N., Nandi A., Mandal S. 2015, ApJ, 807, 108
Johansen A., Levin Y. 2008, A&A, 490, 501
McKinney J. C., Gammie C. F. 2004, ApJ, 611, 977
Kato Y., Mineshige S., Shibata K. 2004, ApJ, 605, 307
Kaufmann T., Mayer L., Wadsley J., Stadel J., Moore B. 2007, MNRAS, 375, 53
King A. R., Pringle J. E., Livio M. 2007, MNRAS, 376, 1740
Koide S., Shibata K., Kudoh T., Meier D. L. 2002, Science, 295, 1688
Kotko I., Lasota J.-P. 2012, A&A, 545, A115
Krolik J. H., Hirose S., Blaes O. 2007, ApJ, 664, 1045
Landau L. D., Lifshitz E. D. 1959, Fluid Mechanics. New York, Pergamon
Lebedev S. V., Ciardi A., Ampleford D. J. et al. 2005, MNRAS, 361, 97
Lu J. F., Yu K. N., Yuan F., Young E. C. M. 1997, A&A, 321, 665
Lu J. F., Yuan F. 1998, MNRAS, 295, 66
Machida M., Matsumoto R. 2003, ApJ, 585, 429
Machida M., Nakamura K. E., Matsumoto R. 2006, PASJ, 58, 193
Mandal S., Chakrabarti S. K. 2005, Ap&SS, 297, 269
Matsumoto R., Kato S., Fukue J., Okazaki A. T. 1984, PASJ, 36, 71
McKinney J., Blandford R. 2009, MNRAS, 394, L126
Menou K. 2000, Science, 288, 2022
Molteni D., Sponholtz H., Chakrabarti S. K. 1996, ApJ, 457, 805
Molteni D., Toth G., Kuznetsov O. A. 1999, ApJ, 516, 411
Narayan R., Yi I. 1995, ApJ, 452, 710
Narayan R., Kato S., Honma F. 1997, ApJ, 476, 49
Nandi A., Debnath D., Mandal S., Chakrabarti S. K. 2012, A&A, 542, 56
Oda H., Machida M., Nakamura K. E., Matsumoto R. 2007, PASJ, 59, 457
Oda H., Machida M., Nakamura K. E., Matsumoto R. 2010, ApJ, 712, 639
Oda H., Machida M., Nakamura K. E., Matsumoto R., Narayan R. 2012, PASJ, 64, 15
Okuda T., Teresi V., Toscano E., Molteni D. 2004, PASJ, 56, 547
Okuda T., Teresi V., Molteni D. 2008, AIP Conference Proceedings, vol. 968, p. 417
Paczyński B., Wiita P. J. 1980, A&A, 88, 23
Papaloizou J. C. B., Terquem C. 1997, MNRAS, 287, 771
Parker E. N. 1966, ApJ, 145, 811
Pudritz R. E., Norman C. A. 1986, Can. J. Phys., 64, 501
Rajesh S. R., Mukhopadhyay B. 2010, MNRAS, 402, 961
Rao A. R., Yadav J. S., Paul B. 2000, ApJ, 544, 443
Samadi M., Abbassi S., Khajavi M. 2014, MNRAS, 437, 3124
Sarkar B., Das S. 2015, ASInC, 12, 91
Sarkar B., Das S. 2016, MNRAS, 461, 190
Sarkar B., Das S., Mandal S. 2018, MNRAS, 473, 2415
Shakura N. I., Sunyaev R. A. 1973, A&A, 24, 337
Shapiro S. L., Teukolsky S. A. 1983, Black Holes, White Dwarfs and Neutron Stars: The Physics of Compact Objects, New York, Wiley
Shibata K., Tajima T., Matsumoto R. 1990, ApJ, 350, 295
Singh C. B., Chakrabarti S. K. 2011, MNRAS, 410, 2414
Spruit H. C., Uzdensky D. A. 2005, ApJ, 629, 960
Suková P., Janiuk A. 2015, MNRAS, 447, 1565
Suková P., Charzyński S., Janiuk A. 2017, MNRAS, 472, 4327
Ustyugova G. V., Koldoba A. V., Romanova M. M., Chechetkin V. M., Lovelace R. V. E. 1999, ApJ, 516, 221
Yuan F. 2001, MNRAS, 324, 119
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Sarkar, B., Das, S. Standing shocks in magnetized dissipative accretion flow around black holes. J Astrophys Astron 39, 3 (2018). https://doi.org/10.1007/s12036-017-9503-4
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DOI: https://doi.org/10.1007/s12036-017-9503-4