超越临界减速：翻转转变中的慢模式、极端尾部和场退相干
Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping Transitions
- University of California, Los Angeles（加州大学洛杉矶分校）
- Weizmann Institute of Science（魏茨曼科学研究所）
- University of Leicester（莱斯特大学）
- Great Bay University（大湾区大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究亚稳态随机吉尔 - 塞勒斯能量平衡模型中气候翻转早期预警信号，通过简化RP共振、极值统计和全场数据自适应谐波模式三个视角分析，揭示翻转时整体弛豫、尾部偏移和空间相位组织的变化特征。
AI中文摘要：
我们在亚稳态随机吉尔 - 塞勒斯能量平衡模型中研究气候翻转的早期预警信号。我们通过三个互补视角分析转变，而非依赖单一标量指标：简化的吕埃勒 - 波利科特（RP）共振、极值统计和全场数据自适应谐波模式。这区分了整体弛豫、尾部偏移和空间相位组织作为翻转的相互作用方面。首先，利用简化的转移算子构造估计简化的RP共振和科尔莫戈罗夫模式。接近翻转时，几个主导衰减率下降且其模式沿共同慢方向协调。其次，极值理论表明全球平均温度异常的冷尾在转变附近界限变弱且更持久。最后，全场温度场的数据自适应谐波模式分析表明接近翻转时，主导模式仍捕捉大规模趋势，但固定秩重建退化且DAHM相位分布变宽。最终，亚稳态翻转以简化谱响应、极端事件统计和全场相位相干的联合重组为特征。
英文摘要：
Tipping transitions are abrupt reorganizations between statistical regimes, usually anticipated through critical slowing down: recovery slows, autocorrelation and variance rise, and spectral power shifts toward low frequencies. In noisy, spatially extended systems, however, these signatures alone cannot distinguish weakening resilience, increasingly likely excursions toward a competing state, and spatial reorganization. We address these questions in the stochastic Ghil-Sellers energy balance model, whose ice-albedo feedback supports warm and snowball metastable regimes, through three viewpoints. Reduced Ruelle-Pollicott resonances and Kolmogorov modes diagnose relaxation and response in physically interpretable observables; Extreme Value Theory probes the accessibility and persistence of tail excursions; and Data-Adaptive Harmonic Modes diagnose the frequency-resolved organization of the temperature field. Near tipping, several reduced decay rates slow together and their modes become geometrically harmonized along a common transition direction, while Green functions show delayed recovery and enhanced low-frequency susceptibility only when the response residues are nonzero. Cold extremes become less sharply bounded and more clustered, and the full field becomes less compressible as its phase distribution broadens, even as a dominant low-frequency component emerges. Read jointly, these diagnostics reconcile apparently contrasting signatures and connect statistical indicators to the physical geometry of competing climate states. We further show that a small localized albedo change can create an additional pair of folds, so that a distance to tipping may carry structural as well as statistical uncertainty. The results provide a framework for interpreting early warnings that distinguishes changes in the system's dynamics from uncertainty in the model's bifurcation structure.
