Maximal Likely Phase Lines for a Reduced Ice Growth Model

We study the impact of Brownian noise on transitions between metastable equilibrium states in a stochastic ice sheet model. Two methods to accomplish different objectives are employed. The maximal likely trajectory by maximizing the probability density function and numerically solving the Fokker-Pla...

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Bibliographic Details
Main Authors: Tsiairis, Athanasios, Wei, Pingyuan, Chao, Ying, Duan, Jinqiao
Format: Article in Journal/Newspaper
Language:unknown
Published: arXiv 2019
Subjects:
Dynamical Systems math.DS
Chaotic Dynamics nlin.CD
FOS Mathematics
FOS Physical sciences
Ice Sheet
Online Access:https://dx.doi.org/10.48550/arxiv.1912.00471
https://arxiv.org/abs/1912.00471
id ftdatacite:10.48550/arxiv.1912.00471
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1912.00471 2023-05-15T16:40:09+02:00 Maximal Likely Phase Lines for a Reduced Ice Growth Model Tsiairis, Athanasios Wei, Pingyuan Chao, Ying Duan, Jinqiao 2019 https://dx.doi.org/10.48550/arxiv.1912.00471 https://arxiv.org/abs/1912.00471 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Dynamical Systems math.DS Chaotic Dynamics nlin.CD FOS Mathematics FOS Physical sciences Article CreativeWork article Preprint 2019 ftdatacite https://doi.org/10.48550/arxiv.1912.00471 2022-03-10T16:29:05Z We study the impact of Brownian noise on transitions between metastable equilibrium states in a stochastic ice sheet model. Two methods to accomplish different objectives are employed. The maximal likely trajectory by maximizing the probability density function and numerically solving the Fokker-Planck equation shows how the system will evolve over time. We have especially studied the maximal likely trajectories starting near the ice-free metastable state, and examined whether they evolve to or near the ice-covered metastable state for certain parameters, in order to gain insights into how the ice sheet formed. Furthermore, for the transition from ice-covered metastable state to the ice-free metastable state, we study the most probable path for various noise parameters via the Onsager-Machlup least action principle. This enables us to predict and visualize the melting process of the ice sheet if such a rare event ever does take place. : 15 pages, 13 figures Article in Journal/Newspaper Ice Sheet DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Dynamical Systems math.DS
Chaotic Dynamics nlin.CD
FOS Mathematics
FOS Physical sciences
spellingShingle Dynamical Systems math.DS
Chaotic Dynamics nlin.CD
FOS Mathematics
FOS Physical sciences
Tsiairis, Athanasios
Wei, Pingyuan
Chao, Ying
Duan, Jinqiao
Maximal Likely Phase Lines for a Reduced Ice Growth Model
topic_facet Dynamical Systems math.DS
Chaotic Dynamics nlin.CD
FOS Mathematics
FOS Physical sciences
description We study the impact of Brownian noise on transitions between metastable equilibrium states in a stochastic ice sheet model. Two methods to accomplish different objectives are employed. The maximal likely trajectory by maximizing the probability density function and numerically solving the Fokker-Planck equation shows how the system will evolve over time. We have especially studied the maximal likely trajectories starting near the ice-free metastable state, and examined whether they evolve to or near the ice-covered metastable state for certain parameters, in order to gain insights into how the ice sheet formed. Furthermore, for the transition from ice-covered metastable state to the ice-free metastable state, we study the most probable path for various noise parameters via the Onsager-Machlup least action principle. This enables us to predict and visualize the melting process of the ice sheet if such a rare event ever does take place. : 15 pages, 13 figures
format Article in Journal/Newspaper
author Tsiairis, Athanasios
Wei, Pingyuan
Chao, Ying
Duan, Jinqiao
author_facet Tsiairis, Athanasios
Wei, Pingyuan
Chao, Ying
Duan, Jinqiao
author_sort Tsiairis, Athanasios
title Maximal Likely Phase Lines for a Reduced Ice Growth Model
title_short Maximal Likely Phase Lines for a Reduced Ice Growth Model
title_full Maximal Likely Phase Lines for a Reduced Ice Growth Model
title_fullStr Maximal Likely Phase Lines for a Reduced Ice Growth Model
title_full_unstemmed Maximal Likely Phase Lines for a Reduced Ice Growth Model
title_sort maximal likely phase lines for a reduced ice growth model
publisher arXiv
publishDate 2019
url https://dx.doi.org/10.48550/arxiv.1912.00471
https://arxiv.org/abs/1912.00471
genre Ice Sheet
genre_facet Ice Sheet
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1912.00471
_version_ 1766030531705700352

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