论文标题

多脉冲伽玛射线爆发中的自组织的批判性

Self-organized Criticality in Multi-pulse Gamma-Ray Bursts

论文作者

Lyu, Fen, Li, Ya-Ping, Hou, Shu-Jin, Wei, Jun-Jie, Geng, Jin-Jun, Wu, Xue-Feng

论文摘要

多脉冲伽马射线爆发(GRB)的变异性可能有助于揭示中央发动机的基本过程的机制。 To investigate whether the self-organized criticality (SOC) phenomena exist in the prompt phase of GRBs, we statistically study the properties of GRBs with more than 3 pulses in each burst by fitting the distributions of several observed physical variables with a Markov Chain Monte Carlo approach, including the isotropic energy $E_{\rm iso}$, the duration time $T$ and the peak count rate $P$ of each pulse.我们的样品由CGRO/BATSE卫星观察到的93 GRB中的454个脉冲组成。这些差分频率分布的这些幂律指数的最佳拟合值和不确定性为:$α^d_ {e} = 1.54 \ pm 0.09 $,$α^d_ {t} = 1.82 _ { - 0.15} $α^d_ {p} = 2.09 _ { - 0.19}^{+0.18} $,而累积频率分布中的幂律指数为:$α^c_ {e} = 1.44 _ { - 0.10} $α^c_ {t} = 1.75 _ { - 0.13}^{+0.11} $和$α^c_ {p} = 1.99 _ { - 0.19}^{+0.16} $。我们发现,这些分布与空间尺寸$ s = 3 $和经典扩散$β$ = 1的分形扩散,自组织临界(FD-SOC)系统的物理框架大致一致。我们的结果支持负责GRB的射流应在磁性上占主导地位,并且磁性不稳定性(例如,扭结模型或撕裂模型不稳定性)将GRB发射区域带入SOC状态。

The variability in multi-pulse gamma-ray bursts (GRBs) may help to reveal the mechanism of underlying processes from the central engine. To investigate whether the self-organized criticality (SOC) phenomena exist in the prompt phase of GRBs, we statistically study the properties of GRBs with more than 3 pulses in each burst by fitting the distributions of several observed physical variables with a Markov Chain Monte Carlo approach, including the isotropic energy $E_{\rm iso}$, the duration time $T$ and the peak count rate $P$ of each pulse. Our sample consists of 454 pulses in 93 GRBs observed by the CGRO/BATSE satellite. The best-fitting values and uncertainties for these power-law indices of the differential frequency distributions are: $α^d_{E}=1.54 \pm 0.09$, $α^d_{T}=1.82_{-0.15}^{+0.14}$ and $α^d_{P}=2.09_{-0.19}^{+0.18}$, while the power-law indices in the cumulative frequency distributions are: $α^c_{E}=1.44_{-0.10}^{+0.08}$, $α^c_{T}=1.75_{-0.13}^{+0.11}$ and $α^c_{P}=1.99_{-0.19}^{+0.16}$. We find that these distributions are roughly consistent with the physical framework of a Fractal-Diffusive, Self-Organized Criticality (FD-SOC) system with the spatial dimension $S=3$ and the classical diffusion $β$=1. Our results support that the jet responsible for the GRBs should be magnetically dominated and magnetic instabilities (e.g., kink model, or tearing-model instability) lead the GRB emission region into the SOC state.

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