Skip to main content
Log in

More than softer-when-brighter: The X-ray powerlaw spectral variability in NGC 4051

  • Article
  • Published:
Science China Physics, Mechanics & Astronomy Aims and scope Submit manuscript

Abstract

The powerlaw X-ray spectra of active galactic nuclei at moderate to high accretion rates normally appear softer when they brighten, for which the underlying mechanisms are yet unclear. Utilizing XMM-Newton observations and excluding photons < 2 keV to avoid contamination from the soft excess, in this work we scrutinize the powerlaw spectral variability of NCG 4051 from two new aspects. We first find that a best-fit “softer-when-brighter” relation is statistically insufficient to explain the observed spectral variabilities, and intervals deviated from the empirical relation are clearly visible in the light curve of 2–4 keV/4–10 keV count rate ratio. The deviations are seen not only between but also within individual XMM-Newton exposures, consistent with random variations of the corona geometry or inner structure (with timescales as short as ∼1 ks), in addition to those behind the smooth “softer-when-brighter” trend. We further find the “softer-when-brighter” trend gradually weakens with the decreasing timescale (from ∼ 100 ks down to 0.5 ks). These findings indicate that the powerlaw spectral slope is not solely determined by its brightness. We propose a two-tier geometry, including flares/nano-flares on top of the inner disc and an embedding extended corona (heated by the flares, in analogy to solar corona) to explain the observations together with other observational clues in literature. Rapid spectral variabilities could be due to individual flares/nano-flares, while slow ones are driven by the variations in the global activity of inner disc region (akin to the variation of solar activity, but not the accretion rate) accompanied with heating/cooling and inflation/contraction of the extended corona.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. A. Galeev, R. Rosner, and G. S. Vaiana, Astrophys. J. 229, 318 (1979).

    ADS  Google Scholar 

  2. F. Haardt, and L. Maraschi, Astrophys. J. 380, L51 (1991).

    ADS  Google Scholar 

  3. F. Haardt, and L. Maraschi, Astrophys. J. 413, 507 (1993).

    ADS  Google Scholar 

  4. A. A. Zdziarski, W. N. Johnson, C. Done, D. Smith, and K. McNaron-Brown, Astrophys. J. 438, L63 (1995).

    ADS  Google Scholar 

  5. C. Ricci, R. Walter, T. J. L. Courvoisier, and S. Paltani, Astron. Astrophys. 532, A102 (2011), arXiv: 1104.3676.

    Google Scholar 

  6. A. Tortosa, S. Bianchi, A. Marinucci, G. Matt, and P. O. Petrucci, Astron. Astrophys. 614, A37 (2018), arXiv: 1801.04456.

    ADS  Google Scholar 

  7. A. Markowitz, and R. Edelson, Astrophys. J. 617, 939 (2004), arXiv: astro-ph/0409045.

    ADS  Google Scholar 

  8. M. A. Sobolewska, and I. E. Papadakis, Mon. Not. R. Astron. Soc. 399, 1597 (2009), arXiv: 0911.0265.

    ADS  Google Scholar 

  9. S. Soldi, V. Beckmann, W. H. Baumgartner, G. Ponti, C. R. Shrader, P. Lubiński, H. A. Krimm, F. Mattana, and J. Tueller, Astron. Astrophys. 563, A57 (2014), arXiv: 1311.4164.

    ADS  Google Scholar 

  10. D. Emmanoulopoulos, I. E. Papadakis, I. M. McHardy, P. Arévalo, D. E. Calvelo, and P. Uttley, Mon. Not. R. Astron. Soc. 424, 1327 (2012), arXiv: 1205.3524.

    ADS  Google Scholar 

  11. S. D. Connolly, I. M. McHardy, C. J. Skipper, and D. Emmanoulopoulos, Mon. Not. R. Astron. Soc. 459, 3963 (2016), arXiv: 1604.03556.

    ADS  Google Scholar 

  12. O. Shemmer, W. N. Brandt, H. Netzer, R. Maiolino, and S. Kaspi, Astrophys. J. 646, L29 (2006), arXiv: astro-ph/0606389.

    ADS  Google Scholar 

  13. G. Risaliti, M. Young, and M. Elvis, Astrophys. J. 700, L6 (2009), arXiv: 0906.1983.

    ADS  Google Scholar 

  14. Q. X. Yang, F. G. Xie, F. Yuan, A. A. Zdziarski, M. Gierliński, L. C. Ho, and Z. Yu, Mon. Not. R. Astron. Soc. 447, 1692 (2015), arXiv: 1412.1358.

    ADS  Google Scholar 

  15. P. Uttley, in The relationship between optical and X-ray variability in Seyfert galaxies: Astronomical Society of the Pacific Conference Series, vol 360 (2006), p. 101.

    ADS  Google Scholar 

  16. W. N. Alston, S. Vaughan, and P. Uttley, Mon. Not. R. Astron. Soc. 429, 75 (2013), arXiv: 1210.8329.

    ADS  Google Scholar 

  17. J. M. Wang, K. Y. Watarai, and S. Mineshige, Astrophys. J. 607, L107 (2004), arXiv: astro-ph/0407160.

    ADS  Google Scholar 

  18. R. V. Vasudevan, R. F. Mushotzky, L. M. Winter, and A. C. Fabian, Mon. Not. R. Astron. Soc. 399, 1553 (2009), arXiv: 0907.2272.

    ADS  Google Scholar 

  19. D. Grupe, S. Komossa, K. M. Leighly, and K. L. Page, Astrophys. J. Suppl. Ser. 187, 64 (2010), arXiv: 1001.3140.

    ADS  Google Scholar 

  20. E. Lusso, A. Comastri, B. D. Simmons, M. Mignoli, G. Zamorani, C. Vignali, M. Brusa, F. Shankar, D. Lutz, J. R. Trump, R. Maiolino, R. Gilli, M. Bolzonella, S. Puccetti, M. Salvato, C. D. Impey, F. Civano, M. Elvis, V. Mainieri, J. D. Silverman, A. M. Koekemoer, A. Bongiorno, A. Merloni, S. Berta, E. Le Floc’h, B. Magnelli, F. Pozzi, and L. Riguccini, Mon. Not. R. Astron. Soc. 425, 623 (2012), arXiv: 1206.2642.

    ADS  Google Scholar 

  21. J. X. Zhang, J. X. Wang, and F. F. Zhu, Astrophys. J. 863, 71 (2018), arXiv: 1806.10058.

    ADS  Google Scholar 

  22. L. Keek, and D. R. Ballantyne, Mon. Not. R. Astron. Soc. 456, 2722 (2016), arXiv: 1508.06994.

    ADS  Google Scholar 

  23. R. Sarma, S. Tripathi, R. Misra, G. Dewangan, A. Pathak, and J. K. Sarma, Mon. Not. R. Astron. Soc. 448, 1541 (2015), arXiv: 1501.00908.

    ADS  Google Scholar 

  24. K. Iwasawa, G. Miniutti, and A. C. Fabian, Mon. Not. R. Astron. Soc. 355, 1073 (2004), arXiv: astro-ph/0409293.

    ADS  Google Scholar 

  25. D. R. Wilkins, L. C. Gallo, D. Grupe, K. Bonson, S. Komossa, and A. C. Fabian, Mon. Not. R. Astron. Soc. 454, 4440 (2015), arXiv: 1510.07656.

    ADS  Google Scholar 

  26. W. N. Alston, A. C. Fabian, E. Kara, M. L. Parker, M. Dovciak, C. Pinto, J. Jiang, M. J. Middleton, G. Miniutti, D. J. Walton, D. R. Wilkins, D. J. K. Buisson, M. D. Caballero-Garcia, E. M. Cackett, B. De Marco, L. C. Gallo, A. M. Lohfink, C. S. Reynolds, P. Uttley, A. J. Young, and A. Zogbhi, Nat. Astron. 4, 597 (2020), arXiv: 2001.06454.

    ADS  Google Scholar 

  27. T. Liu, J. X. Wang, H. Yang, F. F. Zhu, and Y. Y. Zhou, Astrophys. J. 783, 106 (2014), arXiv: 1401.3564.

    ADS  Google Scholar 

  28. A. P. Lobban, D. Porquet, J. N. Reeves, A. Markowitz, E. Nardini, and N. Grosso, Mon. Not. R. Astron. Soc. 474, 3237 (2018), arXiv: 1707.05536.

    ADS  Google Scholar 

  29. G. Lamer, I. M. Mc, P. Uttley, and K. Jahoda, Mon. Not. R. Astron. Soc. 338, 323 (2003), arXiv: astro-ph/0209155.

    ADS  Google Scholar 

  30. I. M. McHardy, I. E. Papadakis, P. Uttley, M. J. Page, and K. O. Mason, Mon. Not. R. Astron. Soc. 348, 783 (2004), arXiv: astro-ph/0311220.

    ADS  Google Scholar 

  31. G. Miniutti, and A. C. Fabian, Mon. Not. R. Astron. Soc. 349, 1435 (2004), arXiv: astro-ph/0309064.

    ADS  Google Scholar 

  32. P. Uttley, R. D. Taylor, I. M. McHardy, M. J. Page, K. O. Mason, G. Lamer, and A. Fruscione, Mon. Not. R. Astron. Soc. 347, 1345 (2004), arXiv: astro-ph/0310701.

    ADS  Google Scholar 

  33. K. A. Pounds, J. N. Reeves, A. R. King, and K. L. Page, Mon. Not. R. Astron. Soc. 350, 10 (2004), arXiv: astro-ph/0310257.

    ADS  Google Scholar 

  34. G. Ponti, G. Miniutti, M. Cappi, L. Maraschi, A. C. Fabian, and K. Iwasawa, Mon. Not. R. Astron. Soc. 368, 903 (2006), arXiv: astro-ph/0602191.

    ADS  Google Scholar 

  35. W. N. Alston, S. Vaughan, and P. Uttley, Mon. Not. R. Astron. Soc. 435, 1511 (2013), arXiv: 1307.6371.

    ADS  Google Scholar 

  36. E. Seifina, A. Chekhtman, and L. Titarchuk, Astron. Astrophys. 613, A48 (2018), arXiv: 1802.07337.

    ADS  Google Scholar 

  37. R. D. Taylor, P. Uttley, and I. M. McHardy, Mon. Not. R. Astron. Soc. 342, L31 (2003), arXiv: astro-ph/0304523.

    ADS  Google Scholar 

  38. K. B. Schmidt, H. W. Rix, J. C. Shields, M. Knecht, D. W. Hogg, D. Maoz, and J. Bovy, Astrophys. J. 744, 147 (2012), arXiv: 1109.6653.

    ADS  Google Scholar 

  39. Y. H. Sun, J. X. Wang, X. Y. Chen, and Z. Y. Zheng, Astrophys. J. 792, 54 (2014), arXiv: 1407.4230.

    ADS  Google Scholar 

  40. F. F. Zhu, J. X. Wang, Z. Y. Cai, Y. H. Sun, M. Y. Sun, and J. X. Zhang, Astrophys. J. 860, 29 (2018), arXiv: 1711.00870.

    ADS  Google Scholar 

  41. Z. Y. Cai, J. X. Wang, W. M. Gu, Y. H. Sun, M. C. Wu, X. X. Huang, and X. Y. Chen, Astrophys. J. 826, 7 (2016), arXiv: 1605.03185.

    ADS  Google Scholar 

  42. Z. Y. Cai, J. X. Wang, F. F. Zhu, M. Y. Sun, W. M. Gu, X. W. Cao, and F. Yuan, Astrophys. J. 855, 117 (2018), arXiv: 1711.06266.

    ADS  Google Scholar 

  43. Z. Y. Cai, Y. H. Sun, J. X. Wang, F. F. Zhu, W. M. Gu, and F. Yuan, Sci. China-Phys. Mech. Astron. 62, 069511 (2019), arXiv: 1811.06984.

    Google Scholar 

  44. F. F. Zhu, J. X. Wang, Z. Y. Cai, and Y. H. Sun, Astrophys. J. 832, 75 (2016), arXiv: 1609.07136.

    ADS  Google Scholar 

  45. A. di Clemente, E. Giallongo, G. Natali, D. Trevese, and F. Vagnetti, Astrophys. J. 463, 466 (1996), arXiv: astro-ph/9512159.

    ADS  Google Scholar 

  46. B. M. Peterson, in Variability of active galactic nuclei: Proceedings of Advanced Lectures on the Starburst-AGN, edited by I. Aretxaga, D. Kunth, and R. Mújica (2001), p. 3.

  47. D. Emmanoulopoulos, I. M. McHardy, and P. Uttley, Mon. Not. R. Astron. Soc. 404, 931 (2010), arXiv: 1001.2045.

    ADS  Google Scholar 

  48. S. Vaughan, P. Uttley, K. A. Pounds, K. Nandra, and T. E. Strohmayer, Mon. Not. R. Astron. Soc. 413, 2489 (2011), arXiv: 1101.1802.

    ADS  Google Scholar 

  49. P. Uttley, I. M. McHardy, and S. Vaughan, Mon. Not. R. Astron. Soc. 359, 345 (2005), arXiv: astro-ph/0502112.

    ADS  Google Scholar 

  50. D. Emmanoulopoulos, I. M. McHardy, and I. E. Papadakis, Mon. Not. R. Astron. Soc. 433, 907 (2013), arXiv: 1305.0304.

    ADS  Google Scholar 

  51. A. P. Lobban, S. Vaughan, K. Pounds, and J. N. Reeves, Mon. Not. R. Astron. Soc. 457, 38 (2016), arXiv: 1512.02587.

    ADS  Google Scholar 

  52. I. E. Papadakis, and I. M. McHardy, Mon. Not. R. Astron. Soc. 273, 923 (1995).

    ADS  Google Scholar 

  53. S. Vaughan, and A. C. Fabian, Mon. Not. R. Astron. Soc. 341, 496 (2003), arXiv: astro-ph/0301172.

    ADS  Google Scholar 

  54. S. Vaughan, A. C. Fabian, and K. Nandra, Mon. Not. R. Astron. Soc. 339, 1237 (2003), arXiv: astro-ph/0211421.

    ADS  Google Scholar 

  55. A. Markowitz, and P. Uttley, Astrophys. J. 625, L39 (2005), arXiv: astro-ph/0504152.

    ADS  Google Scholar 

  56. D. Emmanoulopoulos, I. M. McHardy, S. Vaughan, and I. E. Papadakis, Mon. Not. R. Astron. Soc. 460, 2413 (2016), arXiv: 1605.03193.

    ADS  Google Scholar 

  57. C. Jin, C. Done, and M. Ward, Mon. Not. R. Astron. Soc. 468, 3663 (2017), arXiv: 1703.07118.

    ADS  Google Scholar 

  58. K. Nandra, and I. E. Papadakis, Astrophys. J. 554, 710 (2001), arXiv: astro-ph/0105238.

    ADS  Google Scholar 

  59. M. A. Nowak, B. A. Vaughan, J. Wilms, J. B. Dove, and M. C. Begelman, Astrophys. J. 510, 874 (1999).

    ADS  Google Scholar 

  60. V. Grinberg, K. Pottschmidt, M. Böck, C. Schmid, M. A. Nowak, P. Uttley, J. A. Tomsick, J. Rodriguez, N. Hell, A. Markowitz, A. Bodaghee, M. Cadolle Bel, R. E. Rothschild, and J. Wilms, Astron. Astrophys. 565, A1 (2014), arXiv: 1402.4485.

    Google Scholar 

  61. A. A. Zdziarski, M. Gierliński, A. R. Rao, S. V. Vadawale, and J. Mikołajewska, Mon. Not. R. Astron. Soc. 360, 825 (2005), arXiv: astro-ph/0504018.

    ADS  Google Scholar 

  62. Y. E. Lyubarskii, Mon. Not. R. Astron. Soc. 292, 679 (1997).

    ADS  Google Scholar 

  63. E. Churazov, M. Gilfanov, and M. Revnivtsev, Mon. Not. R. Astron. Soc. 321, 759 (2001), arXiv: astro-ph/0006227.

    ADS  Google Scholar 

  64. O. Kotov, E. Churazov, and M. Gilfanov, Mon. Not. R. Astron. Soc. 327, 799 (2001), arXiv: astro-ph/0103115.

    ADS  Google Scholar 

  65. P. Arevalo, and P. Uttley, Mon. Not. R. Astron. Soc. 367, 801 (2006), arXiv: astro-ph/0512394.

    ADS  Google Scholar 

  66. J. D. Schnittman, J. H. Krolik, and S. C. Noble, Astrophys. J. 769, 156 (2013), arXiv: 1207.2693.

    ADS  Google Scholar 

  67. E. N. Parker, Astrophys. J. 330, 474 (1988).

    ADS  Google Scholar 

  68. A. C. Fabian, A. Lohfink, E. Kara, M. L. Parker, R. Vasudevan, and C. S. Reynolds, Mon. Not. R. Astron. Soc. 451, 4375 (2015), arXiv: 1505.07603.

    ADS  Google Scholar 

  69. W. Kang, J. X. Wang, Z. Y. Cai, H. X. Guo, F. F. Zhu, X. W. Cao, W. M. Gu, and F. Yuan, Astrophys. J. 868, 58 (2018), arXiv: 1810.03776.

    ADS  Google Scholar 

  70. C. Ricci, L. C. Ho, A. C. Fabian, B. Trakhtenbrot, M. J. Koss, Y. Ueda, A. Lohfink, T. Shimizu, F. E. Bauer, R. Mushotzky, K. Schawinski, S. Paltani, I. Lamperti, E. Treister, and K. Oh, Mon. Not. R. Astron. Soc. 480, 1819 (2018), arXiv: 1809.04076.

    ADS  Google Scholar 

  71. K. D. Denney, L. C. Watson, B. M. Peterson, R. W. Pogge, D. W. Atlee, M. C. Bentz, J. C. Bird, D. J. Brokofsky, M. L. Comins, M. Dietrich, V. T. Doroshenko, J. D. Eastman, Y. S. Efimov, C. M. Gaskell, C. H. Hedrick, S. A. Klimanov, E. S. Klimek, A. K. Kruse, J. B. Lamb, K. Leighly, T. Minezaki, S. V. Nazarov, E. A. Petersen, P. Peterson, S. Poindexter, Y. Schlesinger, K. J. Sakata, S. G. Sergeev, J. J. Tobin, C. Unterborn, M. Vestergaard, A. E. Watkins, and Y. Yoshii, Astrophys. J. 702, 1353 (2009), arXiv: 0904.0251.

    ADS  Google Scholar 

  72. D. Psaltis, T. Belloni, and M. van der Klis D. Psaltis, T. Belloni, and M. van der Klis, Astrophys. J. 520, 262 (1999), arXiv: astro-ph/9902130.

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Yun-Jing Wu or Jun-Xian Wang.

Additional information

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11421303, 11890693, and 12033006), and CAS Frontier Science Key Research Program (Grant No. QYZDJ-SSW-SLH006). We thank Prof. Tian Hui and Chen Yao for helpful discussion on solar flares.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wu, YJ., Wang, JX., Cai, ZY. et al. More than softer-when-brighter: The X-ray powerlaw spectral variability in NGC 4051. Sci. China Phys. Mech. Astron. 63, 129512 (2020). https://doi.org/10.1007/s11433-020-1611-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s11433-020-1611-7

Keywords

Navigation