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There is increasing concern that the Atlantic Meridional Overturning Circulation (AMOC) may collapse this century with a disrupting societal impact on large parts of the world. Preliminary estimates of the probability of such an AMOC…

Atmospheric and Oceanic Physics · Physics 2024-06-18 Emma J. V. Smolders , René M. van Westen , Henk A. Dijkstra

Anticipating critical transitions in the Earth system is of great societal relevance, yet there may be intrinsic limitations to their predictability. For instance, from the theory of dynamical systems possessing multiple chaotic attractors,…

Chaotic Dynamics · Physics 2024-01-30 Oliver Mehling , Reyk Börner , Valerio Lucarini

The Atlantic Meridional Overturning Circulation (AMOC), a crucial ocean current system, could transition to a weak state. Despite severe associated climate impacts, assessing the AMOC's response under global warming and its proximity to…

Chaotic Dynamics · Physics 2026-03-09 Reyk Börner , Oliver Mehling , Jost von Hardenberg , Valerio Lucarini

The Atlantic Meridional Overturning Circulation (AMOC) distributes heat and salt into the Northern Hemisphere via a warm surface current toward the subpolar North Atlantic, where water sinks and returns southwards as a deep cold current.…

Dynamical Systems · Mathematics 2023-08-01 John Bailie , Bernd Krauskopf

Recently the global average temperature has temporarily exceeded the 1.5{\deg}C goal of the Paris Agreement, and so an overshoot of various climate tipping elements becomes increasingly likely. In this study we analyze the physical…

Atmospheric and Oceanic Physics · Physics 2025-04-18 Jelle Soons , Tobias Grafke , René M. van Westen , Henk A. Dijkstra

This text presents one of the first successful applications of a rare events method for the study of multistability in a turbulent flow without stochastic energy injection. The trajectories of collapse of turbulence in plane Couette flow,…

Fluid Dynamics · Physics 2021-11-29 Joran Rolland

Rare events play a crucial role in many physics, chemistry, and biology phenomena, when they change the structure of the system, for instance in the case of multistability, or when they have a huge impact. Rare event algorithms have been…

Dynamical Systems · Mathematics 2022-08-24 Dario Lucente , Joran Rolland , Corentin Herbert , Freddy Bouchet

Projections from global climate models reveal a significant inter-model spread in future rainfall changes in the tropical Atlantic by the end of the 21st century, including alterations to the Intertropical Convergence Zone (ITCZ) and…

Atmospheric and Oceanic Physics · Physics 2024-12-02 Giada Cerato , Katinka Bellomo , Roberta D Agostino , Jost von Hardenberg

Ditlevsen and Ditlevsen [Nature Communications, 2023] (DD23 hereafter) propose a statistical framework to estimate the timing of a potential collapse of the Atlantic Meridional Overturning Circulation (AMOC) based on extrapolating…

Paleoclimate proxy records and models suggest that the Atlantic Meridional Overturning Circulation (AMOC) can transition abruptly between a strong and a weak state. Empirical warning signals in observational fingerprints indeed suggest a…

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Climate tipping points are critical thresholds in Earth's climate system where a small change can cause abrupt and potentially irreversible shifts towards a new state. Tipping points in the Atlantic Meridional Overturning Circulation (AMOC)…

Atmospheric and Oceanic Physics · Physics 2025-07-10 Jasmine Noory

Declines in resilience have been observed in several climate tipping elements over the past decades, including the Atlantic Meridional Overturning Circulation (AMOC) and the Amazon rainforest (AR). Large-scale nonlinear and possibly…

Atmospheric and Oceanic Physics · Physics 2025-07-08 Annika Högner , Giorgia Di Capua , Jonathan F. Donges , Reik V. Donner , Georg Feulner , Nico Wunderling

The committor function is a central object of study in understanding transitions between metastable states in complex systems. However, computing the committor function for realistic systems at low temperatures is a challenging task, due to…

Computational Physics · Physics 2019-09-04 Qianxiao Li , Bo Lin , Weiqing Ren

The Atlantic Meridional Overturning Circulation (AMOC) is a major tipping element in the present-day climate, and could potentially collapse under sufficient freshwater or CO2-forcing. While the effect of the Bering Strait on AMOC stability…

Atmospheric and Oceanic Physics · Physics 2026-03-18 Jelle Soons , Henk A. Dijkstra

We develop a new algorithm for the estimation of rare event probabilities associated with the steady-state of a Markov stochastic process with continuous state space $\mathbb R^d$ and discrete time steps (i.e. a discrete-time $\mathbb…

Probability · Mathematics 2019-04-09 Krzysztof Bisewski , Daan Crommelin , Michel Mandjes

The results of a recent simulation with a complex global climate model suggest that the overturning component of the freshwater transport at the southern boundary of the Atlantic could be used as an early-warning indicator of an AMOC…

Atmospheric and Oceanic Physics · Physics 2024-02-27 Erhard Reschenhofer

We study the problem of predicting rare critical transition events for a class of slow-fast nonlinear dynamical systems. The state of the system of interest is described by a slow process, whereas a faster process drives its evolution and…

Computational Physics · Physics 2020-12-14 Soon Hoe Lim , Ludovico Theo Giorgini , Woosok Moon , J. S. Wettlaufer

Computing accurate rate constants for catalytic events occurring at the surface of a given material represents a challenging task with multiple potential applications in chemistry. To address this question, we propose an approach based on a…

Many turbulent flows undergo drastic and abrupt configuration changes with huge impacts. As a paradigmatic example we study the multistability of jet dynamics in a barotropic beta plane model of atmosphere dynamics. It is considered as the…

Statistical Mechanics · Physics 2019-02-27 Freddy Bouchet , Joran Rolland , Eric Simonnet