AI 中文总结
本研究基于FAST 214天探测的11553个FRB 20240114A爆发，通过统计分析揭示其多尺度记忆特性，为爆发模型提供基准，强调需长期高 cadence 监测以捕捉时间复杂性。
AI 中文摘要
我们基于FAST在214天内探测到的11553个爆发，对活跃重复快速射电暴FRB 20240114A进行了统计分析，主要发现分为四点：（1）在最活跃的一天（MJD约60381，4.38小时内有3197个爆发），事件率相干性分析显示持续的相关活动可延伸至3600秒，这是所有重复快速射电暴中报道的最长相干时长，表明即使在剧烈爆发阶段，记忆依然存在；（2）该日的等待时间分布可由三个指数函数很好地描述，而完整的214天样本则呈现出阈值幂律尾部，说明爆发统计特性依赖于观测基线，长程相关性仅在更长时间尺度上显现，这是自组织临界性的标志；（3）等待时间的重标极差（R/S）分析呈现断裂幂律，赫斯特指数分别为H₁=0.63±0.02（短滞后弱记忆）和H₂=1.04±0.02（长滞后非平稳漂移），断裂点对应约1小时，与3600秒的相干极限一致；能量的R/S分析同样在不同滞后处出现断裂（H₁=0.60±0.01，H₂=1.10±0.05），进一步证实非平稳性同时影响时间和能量属性；（4）能量分布呈现与等待时间相关的斜率，且与全日和单日样本一致，高能量截止在所有等待时间组中保持恒定，表明最大能量标度是源的本征属性。综合这些结果，本研究建立了多尺度记忆框架：该源在短时间尺度上表现为随机行为，但在数月尺度上呈现系统性非平稳性，为爆发模型提供了基准，并强调需要长期高 cadence 监测以捕捉时间复杂性。
英文摘要
We present a statistical analysis of FRB~20240114A, a hyperactive repeating fast radio burst, based on 11,553 bursts detected by FAST over 214 days. Our main findings are fourfold. (1) On the most active day (MJD~60381, 3,197 bursts in 4.38 hr), event-rate coherence analysis reveals persistent correlated activity extending up to 3600~s, the longest reported for any repeating FRB, showing memory persists even in intense bursting epochs. (2) The waiting-time distribution on this day is well described by three exponentials, whereas the full 214-day sample develops a threshold power-law tail, indicating burst statistics depend on the observational baseline, with long-range correlations emerging only over longer timescales, a hallmark of self-organized criticality. (3) Rescaled range (R/S) analysis of waiting times reveals a broken power law, with Hurst exponents $H_1=0.63\pm0.02$ (short-lag weak memory) and $H_2=1.04\pm0.02$ (long-lag non-stationary drift). The break corresponds to $\sim$1 hour, consistent with the 3600~s coherence limit. R/S analysis of energies similarly exhibits a break ($H_1=0.60\pm0.01$, $H_2=1.10\pm0.05$) at a different lag, reinforcing that non-stationarity affects both temporal and energetic properties. (4) Energy distributions exhibit waiting-time-dependent slopes that are consistent with the full and daily samples, and the high-energy cutoff remains constant across waiting-time groups, suggesting that the maximum energy scale is an intrinsic source property. Together, these results establish a multi-scale memory framework: the source behaves stochastically on short timescales but exhibits systemic non-stationarity over months, providing benchmarks for burst models and highlighting the need for long-term, high-cadence monitoring to capture temporal complexity.
Comments12 pages, 6 figures, 1 table. Comments are welcome!
