Stochastic energy-balance model with a moving ice line

Ilya Pavlyukevich; Marian Ritsch

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arXiv · 2311.15352

Stochastic energy-balance model with a moving ice line

Ilya Pavlyukevich·Marian Ritsch

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Abstract

In [SIAM J. Appl. Dyn. Sys., 12(4):2068--2092, 2013], Widiasih proposed and analyzed a deterministic one-dimensional Budyko-Sellers energy-balance model with a moving ice-line. In this paper, we extend this model to the stochastic setting and analyze it within the framework of stochastic slow-fast systems. We derive the dynamics for the ice line in the limit of a small parameter as a solution to a stochastic differential equation. The stochastic approach enables the study of co-existing (metastable) climate states as well as the transition dynamics between them.

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Ilya Pavlyukevich, Marian Ritsch. 2023-11-26. Stochastic energy-balance model with a moving ice line. https://arxiv.org/abs/2311.15352

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