Research on the optical variability of oscillating disk

Ou Jian-Wen; Zheng Yong-Gang; Zhang Xiong

doi:10.7498/aps.63.239801

Abstract

Theoretical study shows that stochastic oscillations of an accretion disk should induce the variability of active objects, however, observations indicate that it contains both chaotic factor and random noise. We develop a “chaotic + stochastic” oscillating accretion disk model for the variability. In this model, the chaotic factor is introduced into the oscillating accretion disk, and the chaotic attractor is reproduced through analyzing the phase pattern of disturbance. Results show that: when the random factor dominates the variability, the light curve exhibits a strong randomness; when the random factor is equal to the chaotic factor, the light curve shows a “heartbeat” which is similar to an electrocardiogram; when the chaotic factor dominates the variability, the light curve shows a certain orderliness. The correlated dimension of the simulated light curve is consistent with the correlated dimension of observational data. This suggests that there is an intrinsic relationship between the simulated light curve and observational data.

Keywords:

Authors and contacts

1.
School of Physics and Electronic Information Technology, Yunnan Normal University, Kunming 650500, China
Funds: Project supported by the Key Program of the National Natural Science Foundation of China (Grant No. U1231203), the National Natural Science Foundation of China (Grant Nos. 11163007, 11063004), the Natural Science Foundation of Yunnan Province, China (Grant No. 2011FB041), the Gravitational Theory Innovation Team of Yunnan Provincial of China, and the High Energy Astrophysics of University Innovation Team of Yunnan Provincial of China.

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[25]	Neilsen J, Lee J C 2009 Nature 458 481
[26]	Greiner J, Cuby J G, McCaughrean M J 2001 Nature 414 522
[27]	Mirabel I F, Rodriguez L F 1994 Nature 371 46
[28]	Castro-Tirado A J, Brandt S, Lund N, Lapshov I, Sunyaev R A, Shlyapnikov A A, Guziy S, Pavlenko E P 1994 Astrophys. J. Suppl. S. 92 469C
[29]	Naik S, Agrawal P C, Rao A R, Paul B 2002 Mon. Not. Roy. Astron. Soc. 330 487
[30]	Li S P, Zhang H J, Zhang X 2011 Acta Phy. Sin. 60 089801 (in Chinese) [李孝攀, 张皓晶, 张雄 2011 60 089801]
[31]	Belloni T, Klein-Wolt M, Méndez M, van ver Klis M, van Paradijs J 2000 Astron. Astrophys. 355 271
[32]	Harikrishnan K P, Misra R, Ambika G, Kembhavi A K 2006 Physica D 215 137
[33]	Liu S D, Liang F M, Liu S K, Xin G J 2003 Chaos and Fractal in Natural Sciences (Beijing: Peking University Press) p35 (in Chinese) [刘式达, 梁福明, 刘式适, 辛国君 2003自然科学中的混沌和分形 (北京: 北京大学出版社) 第35页]
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[36]	Yonehara A, Mineshige S 1997 Astrophys. J. 486 388
[37]	Titarchuk L, Osherovich V 2000 Astrophys. J. 542 L111
[38]	Li H L, Lin R, Cheng L Y 2013 Chin. Phys. B 22 050402
[39]	Chen J H, Wang Y J 2011 Chin. Phys. B 20 030401
[40]	Zeng X X, Zhou S W, Liu W B 2012 Chin. Phys. B 21 090402

Cited By

[1]	Shakura N I, Sunyaev R A 1973 Astron. Astrophysics 24 337
[2]	Novikov I D, Thorne K S 1973 Black Holes (New York: Gordon and Breach) p343
[3]	Lynden-Bell D, Pringle J E 1974 Mon. Not. Roy. Astron. Soc. 168 603
[4]	Sun W H, Malkan M A 1989 Astrophys. J. 346 68
[5]	Wang D X 2007 Prog. Astron. 25 193 (in Chinese) [汪定雄 2007 天文学进展 25 193]
[6]	Ye Y C, Wang D X, Gong X L 2005 Chin. Phys. 14 439
[7]	Kelly B C, Sobolewska M, Siemiginowska A 2011 Astrophys. J. 730 52
[8]	Leung C S, Wei J Y, Harko T, Kovacs Z 2011 J. Astrophys. Astron. 32 189
[9]	Harko T, Mocanu G 2012 Mon. Not. Roy. Astron. Soc. 421 3102
[10]	Abramowicz M A, Fragile P C 2013 Living Rev. Relat. 16 1
[11]	Mocanu G, Marcu A 2012 Astron. Nachr. 333 166
[12]	Wang Z Y, Chen P J, Zhang L Y 2013 Chin. Phys. Lett. 30 099801
[13]	Harikrishnan K P, Misra R, Ambika G 2011 Res. Astron. Astrophys. 11 71
[14]	Emmanoulopulos D 2007 Ph. D. Dissertation (Heidelberg: Ruperto-Carola University of Heidelberg)
[15]	Karak B B, Dutta J, Mukhopadhyay B 2010 Astrophys. J. 708 862
[16]	Neilsen J, Remillard R A, Lee J C 2011 Astrophys. J. 737 69
[17]	Misra R, Harikrishnan K P, Mukhopadhyay B, Ambika G, Kembhavi A K 2004 Astrophys. J. 609 313
[18]	Misra R, Harikrishnan K P, Ambika G, Kembhavi A K 2006 Astrophys. J. 643 1114
[19]	Ou J W, Zhang H J, Zheng Y G, Zhang X 2014 Acta Phys. Sin. 63 049801 (in Chinese) [欧建文, 张皓晶, 郑永刚, 张雄 2014 63 049801]
[20]	Li S H, Ou J W, Liu Z 2014 J. Astrophys. Astron. 35 183
[21]	Zhang S P, Xie C S, Hu M L, Li H Y, Bai Z K, Zeng D W 2008 Sens. Actuat. B 132 81
[22]	Zhang S P, Xie C S, Li H Y, Bai Z K, Xia X P, Zeng D W 2009 Sens. Actuat. B 135 552
[23]	Chen X M, Swank J H, Taam R E 1997 Astrophys. J. 477 L41
[24]	Fender R, Belloni T 2004 Annu. Rev. Astron. Astrophys. 42 317
[25]	Neilsen J, Lee J C 2009 Nature 458 481
[26]	Greiner J, Cuby J G, McCaughrean M J 2001 Nature 414 522
[27]	Mirabel I F, Rodriguez L F 1994 Nature 371 46
[28]	Castro-Tirado A J, Brandt S, Lund N, Lapshov I, Sunyaev R A, Shlyapnikov A A, Guziy S, Pavlenko E P 1994 Astrophys. J. Suppl. S. 92 469C
[29]	Naik S, Agrawal P C, Rao A R, Paul B 2002 Mon. Not. Roy. Astron. Soc. 330 487
[30]	Li S P, Zhang H J, Zhang X 2011 Acta Phy. Sin. 60 089801 (in Chinese) [李孝攀, 张皓晶, 张雄 2011 60 089801]
[31]	Belloni T, Klein-Wolt M, Méndez M, van ver Klis M, van Paradijs J 2000 Astron. Astrophys. 355 271
[32]	Harikrishnan K P, Misra R, Ambika G, Kembhavi A K 2006 Physica D 215 137
[33]	Liu S D, Liang F M, Liu S K, Xin G J 2003 Chaos and Fractal in Natural Sciences (Beijing: Peking University Press) p35 (in Chinese) [刘式达, 梁福明, 刘式适, 辛国君 2003自然科学中的混沌和分形 (北京: 北京大学出版社) 第35页]
[34]	Belloni T, Méndez M, King A R, van ver Klis M, van Paradijs J 1997 Astrophys. J. 479 L145
[35]	Belloni T, Méndez M, King A R, van ver Klis M, van Paradijs J 1997 Astrophys. J. 488 L109
[36]	Yonehara A, Mineshige S 1997 Astrophys. J. 486 388
[37]	Titarchuk L, Osherovich V 2000 Astrophys. J. 542 L111
[38]	Li H L, Lin R, Cheng L Y 2013 Chin. Phys. B 22 050402
[39]	Chen J H, Wang Y J 2011 Chin. Phys. B 20 030401
[40]	Zeng X X, Zhou S W, Liu W B 2012 Chin. Phys. B 21 090402

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Vol. 63, Issue 23 - 2014-12-05

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