Scale-invariance in soft gamma repeaters

  • The statistical properties of the soft gamma repeater SGR J1550-5418 are investigated carefully. We find that the cumulative distributions of fluence, peak flux and duration can be well fitted by a bent power law, while the cumulative distribution of waiting time follows a simple power law. In particular, the probability density functions of fluctuations of fluence, peak flux, and duration have a sharp peak and fat tails, which can be well fitted by a q-Gaussian function. The q values keep approximately steady for different scale intervals, indicating a scale-invariant structure of soft gamma repeaters. Those results support that the origin of soft gamma repeaters is crustquakes of neutron stars with extremely strong magnetic fields.
  • [1] E. P. Mazets, S. V. Golenetskii, V. N. Il'inskii et al, Nature,282: 587 (1979)
    [2] E. P. Mazets, S. V. Golenetskij, and Y. A. Guryan, Soviet AstronomyLetters, 5: 343 (1979)
    [3] K. Hurley, Advances in Space Research, 47: 1326 (2011).
    [4] P. M. Woods, Advances in Space Research, 33: 630 (2004)
    [5] E. Ggş, C. Kouveliotou, P. M. Woods et al, The AstrophysicalJournal, 558: 228 (2001)
    [6] R. L. Aptekar, D. D. Frederiks, S. V. Golenetskii et al, TheAstrophysical Journal Supplement Series, 137: 227 (2001)
    [7] S. Mereghetti, The Astronomy and Astrophysics Review, 15:225 (2008)
    [8] R. C. Duncan and C. Thompson, The Astrophysical Journal,392: L9 (1992)
    [9] C. Kouveliotou, S. Dieters, T. Strohmayer et al, Nature, 393:235 (1998)
    [10] C. Kouveliotou, T. Strohmayer, K. Hurley et al, The AstrophysicalJournal, 510: L115 (1999)
    [11] C. Thompson, M. Lyutikov, and S. Kulkarni, The AstrophysicalJournal, 574: 332 (2002)
    [12] C. Thompson and R. C. Duncan, The Astrophysical Journal,473: 322 (1996)
    [13] F. P. Gavriil, V. M. Kaspi, and P. M. Woods, Nature, 419: 142(2002)
    [14] R. C. Lamb and T. H. Markert, The Astrophysical Journal,244: 94 (1981)
    [15] M. Sugizaki, K. Mitsuda, H. Kaneda et al, The AstrophysicalJournal Supplement Series, 134: 77 (2001)
    [16] J. D. Gelfand and B. M. Gaensler, The Astrophysical Journal,667: 1111 (2007)
    [17] F. Camilo, S. M. Ransom, J. P. Halpern et al, The AstrophysicalJournal Letters, 666: L93 (2007)
    [18] G. L. Israel, P. Esposito, N. Rea et al, Monthly Notices of the Royal Astronomical Society, 408: 1387 (2010)
    [19] P. Scholz and V. M. Kaspi, The Astrophysical Journal, 739: 94 (2011)
    [20] A. von Kienlin, D. Gruber, C. Kouveliotou et al, The Astrophysical Journal, 755: 150 (2012)
    [21] A. J. van der Horst, C. Kouveliotou, N. M. Gorgone et al, The Astrophysical Journal, 749: 122 (2012)
    [22] G. Younes, C. Kouveliotou, A. J. van der Horst et al, The Astrophysical Journal, 785: 52 (2014)
    [23] D. Palmer, GRB Coordinates Network, Circular Service, 8901(2009)
    [24] C. Kouveliotou, A. von Kienlin, G. Fishman et al, GRB Coordinates Network, Circular Service, 8915 (2009)
    [25] A. C. Collazzi, C. Kouveliotou, A. J. van der Horst et al, The Astrophysical Journal Supplement Series, 218: 11 (2015)
    [26] B. Cheng, R. I. Epstein, R. A. Guyer et al, Nature, 382: 518(1996)
    [27] Z. Prieskorn and P. Kaaret, The Astrophysical Journal, 755:1 (2012)
    [28] E. Ggş, P. M. Woods, C. Kouveliotou et al, The Astrophysical Journal Letters, 526: L93 (1999)
    [29] E. Ggş, P. M. Woods, C. Kouveliotou et al, The Astrophysical Journal Letters: 532: L121 (2000)
    [30] F. Y. Wang and H. Yu (2016), arXiv:1604.08676
    [31] P. Wang, Z. Chang, H. Wang et al, The European Physical Journal B, 88: 1 (2015)
    [32] F. Caruso, A. Pluchino, V. Latora et al, Phys. Rev. E, 75: 055101 (2007)
    [33] D. Freedman and P. Diaconis, Probability theory and related fields, 57: 453 (1981)
    [34] G. A. F. Seber and C. J. Wild, Nonlinear regression (Hoboken, NJ : Wiley-Interscience, 2003)
    [35] P. R. Bevington and D. K. Robinson, Data reduction and error analysis for the Physical Sciences (McGraw-Hill, 2003)
    [36] C. Guidorzi, S. Dichiara, and L. Amati, AA, 589: A98 (2016)
  • [1] E. P. Mazets, S. V. Golenetskii, V. N. Il'inskii et al, Nature,282: 587 (1979)
    [2] E. P. Mazets, S. V. Golenetskij, and Y. A. Guryan, Soviet AstronomyLetters, 5: 343 (1979)
    [3] K. Hurley, Advances in Space Research, 47: 1326 (2011).
    [4] P. M. Woods, Advances in Space Research, 33: 630 (2004)
    [5] E. Ggş, C. Kouveliotou, P. M. Woods et al, The AstrophysicalJournal, 558: 228 (2001)
    [6] R. L. Aptekar, D. D. Frederiks, S. V. Golenetskii et al, TheAstrophysical Journal Supplement Series, 137: 227 (2001)
    [7] S. Mereghetti, The Astronomy and Astrophysics Review, 15:225 (2008)
    [8] R. C. Duncan and C. Thompson, The Astrophysical Journal,392: L9 (1992)
    [9] C. Kouveliotou, S. Dieters, T. Strohmayer et al, Nature, 393:235 (1998)
    [10] C. Kouveliotou, T. Strohmayer, K. Hurley et al, The AstrophysicalJournal, 510: L115 (1999)
    [11] C. Thompson, M. Lyutikov, and S. Kulkarni, The AstrophysicalJournal, 574: 332 (2002)
    [12] C. Thompson and R. C. Duncan, The Astrophysical Journal,473: 322 (1996)
    [13] F. P. Gavriil, V. M. Kaspi, and P. M. Woods, Nature, 419: 142(2002)
    [14] R. C. Lamb and T. H. Markert, The Astrophysical Journal,244: 94 (1981)
    [15] M. Sugizaki, K. Mitsuda, H. Kaneda et al, The AstrophysicalJournal Supplement Series, 134: 77 (2001)
    [16] J. D. Gelfand and B. M. Gaensler, The Astrophysical Journal,667: 1111 (2007)
    [17] F. Camilo, S. M. Ransom, J. P. Halpern et al, The AstrophysicalJournal Letters, 666: L93 (2007)
    [18] G. L. Israel, P. Esposito, N. Rea et al, Monthly Notices of the Royal Astronomical Society, 408: 1387 (2010)
    [19] P. Scholz and V. M. Kaspi, The Astrophysical Journal, 739: 94 (2011)
    [20] A. von Kienlin, D. Gruber, C. Kouveliotou et al, The Astrophysical Journal, 755: 150 (2012)
    [21] A. J. van der Horst, C. Kouveliotou, N. M. Gorgone et al, The Astrophysical Journal, 749: 122 (2012)
    [22] G. Younes, C. Kouveliotou, A. J. van der Horst et al, The Astrophysical Journal, 785: 52 (2014)
    [23] D. Palmer, GRB Coordinates Network, Circular Service, 8901(2009)
    [24] C. Kouveliotou, A. von Kienlin, G. Fishman et al, GRB Coordinates Network, Circular Service, 8915 (2009)
    [25] A. C. Collazzi, C. Kouveliotou, A. J. van der Horst et al, The Astrophysical Journal Supplement Series, 218: 11 (2015)
    [26] B. Cheng, R. I. Epstein, R. A. Guyer et al, Nature, 382: 518(1996)
    [27] Z. Prieskorn and P. Kaaret, The Astrophysical Journal, 755:1 (2012)
    [28] E. Ggş, P. M. Woods, C. Kouveliotou et al, The Astrophysical Journal Letters, 526: L93 (1999)
    [29] E. Ggş, P. M. Woods, C. Kouveliotou et al, The Astrophysical Journal Letters: 532: L121 (2000)
    [30] F. Y. Wang and H. Yu (2016), arXiv:1604.08676
    [31] P. Wang, Z. Chang, H. Wang et al, The European Physical Journal B, 88: 1 (2015)
    [32] F. Caruso, A. Pluchino, V. Latora et al, Phys. Rev. E, 75: 055101 (2007)
    [33] D. Freedman and P. Diaconis, Probability theory and related fields, 57: 453 (1981)
    [34] G. A. F. Seber and C. J. Wild, Nonlinear regression (Hoboken, NJ : Wiley-Interscience, 2003)
    [35] P. R. Bevington and D. K. Robinson, Data reduction and error analysis for the Physical Sciences (McGraw-Hill, 2003)
    [36] C. Guidorzi, S. Dichiara, and L. Amati, AA, 589: A98 (2016)
  • 加载中

Cited by

1. Sang, Y., Lin, H.-N. Quantifying the memory and dynamical stability of magnetar bursts[J]. Chinese Physics C, 2025, 49(3): 035103. doi: 10.1088/1674-1137/ad9d1c
2. Zhang, W.-L., Yi, S.-X., Zou, Y.-C. et al. Self-organized critical characteristics of teraelectronvolt photons from GRB 221009A[J]. Astronomy and Astrophysics, 2025. doi: 10.1051/0004-6361/202453174
3. Xiao, S., Hong, M.-X., You, Z.-Y. et al. The Self-organized Criticality Behaviors of Pulses in Magnetar Bursts[J]. Astrophysical Journal, Supplement Series, 2024, 274(1): 14. doi: 10.3847/1538-4365/ad6b18
4. Sang, Y., Lin, H.-N. Quantifying the randomness and scale invariance of the repeating fast radio bursts[J]. Monthly Notices of the Royal Astronomical Society, 2024, 533(1): 872-879. doi: 10.1093/mnras/stae1873
5. Li, X.-J., Liu, J.-M., Cheng, M. et al. Scale-invariant Features of X-Ray Bursts from SGR J1935+2154 Detected by Insight-HXMT[J]. Publications of the Astronomical Society of the Pacific, 2024, 136(8): 084204. doi: 10.1088/1538-3873/ad6a8a
6. Gao, C.-Y., Wei, J.-J. A Comparative Analysis of Scale-invariant Phenomena in Repeating Fast Radio Bursts and Glitching Pulsars[J]. Astrophysical Journal, 2024, 968(1): 40. doi: 10.3847/1538-4357/ad4a55
7. Xiao, S., Zhang, S.-N., Xiong, S.-L. et al. The self-organized criticality behaviours of two new parameters in SGR J1935 + 2154[J]. Monthly Notices of the Royal Astronomical Society, 2024, 528(2): 1388-1392. doi: 10.1093/mnras/stae142
8. Peng, F.-K., Wei, J.-J., Wang, H.-Q. Scale Invariance in Gamma-Ray Flares of the Sun and 3C 454.3[J]. Astrophysical Journal, 2023, 959(2): 109. doi: 10.3847/1538-4357/acfcb2
9. Tang, L., Lin, H.-N., Li, X. Inferring redshift and energy distributions of fast radio bursts from the first CHIME/FRB catalog* * Supported by the National Natural Science Fund of China (11873001, 12147102, 12275034)[J]. Chinese Physics C, 2023, 47(8): 085105. doi: 10.1088/1674-1137/acda1c
10. Sang, Y., Lin, H.-N. The temporally evolving energy and waiting time statistics of two repeating fast radio bursts[J]. Monthly Notices of the Royal Astronomical Society, 2023, 523(4): 5430-5441. doi: 10.1093/mnras/stad1739
11. Wang, Z.-H., Sang, Y., Zhang, X. Power-law Distribution and Scale-invariant Structure from the First CHIME/FRB Fast Radio Burst Catalog[J]. Research in Astronomy and Astrophysics, 2023, 23(2): 025002. doi: 10.1088/1674-4527/acaa91
12. Wei, J.-J.. Scale invariance in x-ray flares of gamma-ray bursts[J]. Physical Review Research, 2023, 5(1): 013019. doi: 10.1103/PhysRevResearch.5.013019
13. Chen, H.-Y., Gu, W.-M., Sun, M. et al. One-off and Repeating Fast Radio Bursts: A Statistical Analysis[J]. Astrophysical Journal, 2022, 939(1): 27. doi: 10.3847/1538-4357/ac958a
14. Lin, H.-N., Li, X., Tang, L. Search for correlations between host properties and DM hostof fast radio bursts: constraints on the baryon mass fraction in IGM[J]. Chinese Physics C, 2022, 46(7): 075102. doi: 10.1088/1674-1137/ac5e92
15. Sang, Y., Lin, H.-N. Statistical similarity between soft gamma repeaters and repeating fast radio bursts[J]. Monthly Notices of the Royal Astronomical Society, 2022, 510(2): 1801-1808. doi: 10.1093/mnras/stab3600
16. Lin, H.-N., Sang, Yu. Probing the anisotropic distribution of baryon matter in the Universe using fast radio bursts[J]. Chinese Physics C, 2021, 45(12): 125101. doi: 10.1088/1674-1137/ac2660
17. Wei, J.-J., Wu, X.-F., Dai, Z.-G. et al. Similar Scale-invariant Behaviors between Soft Gamma-Ray Repeaters and an Extreme Epoch from FRB 121102[J]. Astrophysical Journal, 2021, 920(2): 153. doi: 10.3847/1538-4357/ac2604
18. Lyu, F., Meng, Y.-Z., Tang, Z.-F. et al. A comparison between repeating bursts of FRB 121102 and giant pulses from Crab pulsar and its applications[J]. Frontiers of Physics, 2021, 16(2): 24503. doi: 10.1007/s11467-020-1039-4
19. Lin, H.-N., Sang, Y. Scale-invariance in the repeating fast radio burst 121102[J]. Monthly Notices of the Royal Astronomical Society, 2020, 491(2): 2156-2161. doi: 10.1093/mnras/stz3149
Get Citation
null. Scale-invariance in soft gamma repeaters[J]. Chinese Physics C, 2017, 41(6): 065104. doi: 10.1088/1674-1137/41/6/065104
null. Scale-invariance in soft gamma repeaters[J]. Chinese Physics C, 2017, 41(6): 065104.  doi: 10.1088/1674-1137/41/6/065104 shu
Milestone
Received: 2016-11-28
Revised: 2017-01-20
Fund

    Supported by National Natural Science Foundation of China (11375203, 11675182, 11690022, 11603005), and Fundamental Research Funds for Central Universities (106112016CDJCR301206)}

Article Metric

Article Views(2259)
PDF Downloads(21)
Cited by(19)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Scale-invariance in soft gamma repeaters

Fund Project:  Supported by National Natural Science Foundation of China (11375203, 11675182, 11690022, 11603005), and Fundamental Research Funds for Central Universities (106112016CDJCR301206)}

Abstract: The statistical properties of the soft gamma repeater SGR J1550-5418 are investigated carefully. We find that the cumulative distributions of fluence, peak flux and duration can be well fitted by a bent power law, while the cumulative distribution of waiting time follows a simple power law. In particular, the probability density functions of fluctuations of fluence, peak flux, and duration have a sharp peak and fat tails, which can be well fitted by a q-Gaussian function. The q values keep approximately steady for different scale intervals, indicating a scale-invariant structure of soft gamma repeaters. Those results support that the origin of soft gamma repeaters is crustquakes of neutron stars with extremely strong magnetic fields.

    HTML

Reference (36)

目录

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return