On the existence of stable seasonally varying Arctic sea ice in simple models

Within the framework of lower order thermodynamic theories for the climatic evolution of Arctic sea ice we isolate the conditions required for the existence of stable seasonally-varying solutions, in which ice forms each winter and melts away each summer. This is done by constructing a two-season mo...

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Bibliographic Details
Main Authors: Moon, W., Wettlaufer, J. S.
Format: Text
Language:unknown
Published: arXiv 2012
Subjects:
Atmospheric and Oceanic Physics physics.ao-ph
Chaotic Dynamics nlin.CD
FOS Physical sciences
Arctic
Sea ice
Online Access:https://dx.doi.org/10.48550/arxiv.1202.5506
https://arxiv.org/abs/1202.5506
id ftdatacite:10.48550/arxiv.1202.5506
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1202.5506 2023-05-15T14:55:01+02:00 On the existence of stable seasonally varying Arctic sea ice in simple models Moon, W. Wettlaufer, J. S. 2012 https://dx.doi.org/10.48550/arxiv.1202.5506 https://arxiv.org/abs/1202.5506 unknown arXiv https://dx.doi.org/10.1029/2012jc008006 arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Atmospheric and Oceanic Physics physics.ao-ph Chaotic Dynamics nlin.CD FOS Physical sciences article-journal Article ScholarlyArticle Text 2012 ftdatacite https://doi.org/10.48550/arxiv.1202.5506 https://doi.org/10.1029/2012jc008006 2022-04-01T14:05:42Z Within the framework of lower order thermodynamic theories for the climatic evolution of Arctic sea ice we isolate the conditions required for the existence of stable seasonally-varying solutions, in which ice forms each winter and melts away each summer. This is done by constructing a two-season model from the continuously evolving theory of Eisenman and Wettlaufer (2009) and showing that seasonally-varying states are unstable under constant annual average short-wave radiative forcing. However, dividing the summer season into two intervals (ice covered and ice free) provides sufficient freedom to stabilize seasonal ice. Simple perturbation theory shows that the condition for stability is determined by when the ice vanishes in summer and hence the relative magnitudes of the summer heat flux over the ocean versus over the ice. This scenario is examined within the context of greenhouse gas warming, as a function of which stability conditions are discerned. : 11 pages, 6 figures, 1 table Text Arctic Sea ice DataCite Metadata Store (German National Library of Science and Technology) Arctic
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Atmospheric and Oceanic Physics physics.ao-ph
Chaotic Dynamics nlin.CD
FOS Physical sciences
spellingShingle Atmospheric and Oceanic Physics physics.ao-ph
Chaotic Dynamics nlin.CD
FOS Physical sciences
Moon, W.
Wettlaufer, J. S.
On the existence of stable seasonally varying Arctic sea ice in simple models
topic_facet Atmospheric and Oceanic Physics physics.ao-ph
Chaotic Dynamics nlin.CD
FOS Physical sciences
description Within the framework of lower order thermodynamic theories for the climatic evolution of Arctic sea ice we isolate the conditions required for the existence of stable seasonally-varying solutions, in which ice forms each winter and melts away each summer. This is done by constructing a two-season model from the continuously evolving theory of Eisenman and Wettlaufer (2009) and showing that seasonally-varying states are unstable under constant annual average short-wave radiative forcing. However, dividing the summer season into two intervals (ice covered and ice free) provides sufficient freedom to stabilize seasonal ice. Simple perturbation theory shows that the condition for stability is determined by when the ice vanishes in summer and hence the relative magnitudes of the summer heat flux over the ocean versus over the ice. This scenario is examined within the context of greenhouse gas warming, as a function of which stability conditions are discerned. : 11 pages, 6 figures, 1 table
format Text
author Moon, W.
Wettlaufer, J. S.
author_facet Moon, W.
Wettlaufer, J. S.
author_sort Moon, W.
title On the existence of stable seasonally varying Arctic sea ice in simple models
title_short On the existence of stable seasonally varying Arctic sea ice in simple models
title_full On the existence of stable seasonally varying Arctic sea ice in simple models
title_fullStr On the existence of stable seasonally varying Arctic sea ice in simple models
title_full_unstemmed On the existence of stable seasonally varying Arctic sea ice in simple models
title_sort on the existence of stable seasonally varying arctic sea ice in simple models
publisher arXiv
publishDate 2012
url https://dx.doi.org/10.48550/arxiv.1202.5506
https://arxiv.org/abs/1202.5506
geographic Arctic
geographic_facet Arctic
genre Arctic
Sea ice
genre_facet Arctic
Sea ice
op_relation https://dx.doi.org/10.1029/2012jc008006
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1202.5506
https://doi.org/10.1029/2012jc008006
_version_ 1766326808857280512

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