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Related papers: Ising model for melt ponds on Arctic sea ice

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Understanding how sea ice melts is critical to climate projections. In the Arctic, melt ponds that develop on the surface of sea ice floes during the late spring and summer largely determine their albedo -- a key parameter in climate…

Pattern Formation and Solitons · Physics 2017-11-28 Ivan Sudakov , Sergey A. Vakulenko , Kenneth M. Golden

Climate change, amplified in the far north, has led to rapid sea ice decline in recent years. In the summer, melt ponds form on the surface of Arctic sea ice, significantly lowering the ice reflectivity (albedo) and thereby accelerating ice…

Pattern Formation and Solitons · Physics 2018-04-16 Predrag Popović , B. B. Cael , Mary Silber , Dorian S. Abbot

We present a mathematical model describing the evolution of sea ice and meltwater during summer. The system is described by two coupled partial differential equations for the ice thickness $h$ and pond depth $w$ fields. We test the…

Atmospheric and Oceanic Physics · Physics 2020-03-19 Andrea Scagliarini , Enrico Calzavarini , Daniela Mansutti , Federico Toschi

During the summer melt period, ponds form on the surface of Arctic sea ice as it melts, with important consequences for ice evolution and marine ecology. Due to the ice-albedo feedback, these melt ponds experience uneven heat absorption,…

Data Analysis, Statistics and Probability · Physics 2022-12-16 Wilfred Offord , Michael Coughlan , Ian J. Hewitt , Heather A. Harrington , Gillian Grindstaff

Our ability to predict the future of Arctic sea ice is limited by ice's sensitivity to detailed surface conditions such as the distribution of snow and melt ponds. Snow on top of the ice decreases ice's thermal conductivity, increases its…

Pattern Formation and Solitons · Physics 2022-03-09 Predrag Popović , Justin Finkel , Mary C. Silber , Dorian S. Abbot

Accurate simulation of sea ice is critical for predictions of future Arctic sea ice loss, looming climate change impacts, and more. A key feature in Arctic sea ice is the formation of melt ponds. Each year melt ponds develop on the surface…

Computational Physics · Physics 2023-04-13 Simon Driscoll , Alberto Carrassi , Julien Brajard , Laurent Bertino , Marc Bocquet , Einar Olason

Melting and solidification processes, intertwined with convective flows, play a fundamental role in geophysical contexts. One of these processes is the formation of melt ponds on glaciers, ice shelves, and sea ice. It is driven by solar…

Fluid Dynamics · Physics 2025-06-18 Rui Yang , Christopher J. Howland , Hao-Ran Liu , Roberto Verzicco , Detlef Lohse

During the summer, vast regions of Arctic sea ice are covered by meltwater ponds that significantly lower the ice reflectivity and accelerate melting. Ponds develop over the melt season through an initial rapid growth stage followed by…

Pattern Formation and Solitons · Physics 2022-03-09 Predrag Popović , Mary C. Silber , Dorian S. Abbot

Sea ice, or frozen ocean water, freezes and melts every year in the Arctic. Forecasts of where sea ice will be located weeks to months in advance have become more important as the amount of sea ice declines due to climate change, for…

Applications · Statistics 2020-06-11 Hannah M. Director , Adrian E. Raftery , Cecilia M. Bitz

A controlling factor in the seasonal and climatological evolution of the sea ice cover is its albedo $\alpha$. Here we analyze Arctic data from the Advanced Very High Resolution Radiometer (AVHRR) Polar Pathfinder and assess the seasonality…

Atmospheric and Oceanic Physics · Physics 2011-10-31 S. Agarwal , W. Moon , J. S. Wettlaufer

Abrupt and irreversible winter Arctic sea-ice loss may occur under anthropogenic warming due to the collapse of a sea-ice equilibrium at a threshold value of CO$_2$, commonly referred to as a tipping point. Previous work has been unable to…

Atmospheric and Oceanic Physics · Physics 2022-12-21 Camille Hankel , Eli Tziperman

Antarctic sea ice has undergone unprecedented changes in recent years, raising questions about how this key geophysical system is responding to climate change. Decades of slow expansion were replaced by a precipitous decline in 2014-2017, a…

Atmospheric and Oceanic Physics · Physics 2026-05-28 Peter Yatsyshin , Karl Lapo , Oliver Strickson , Louisa van Zeeland , J. Scott Hosking , J. Nathan Kutz

Arctic sea ice plays an important role in the global climate. Sea ice models governed by physical equations have been used to simulate the state of the ice including characteristics such as ice thickness, concentration, and motion. More…

We consider the Ising model on the hexagonal lattice evolving according to Metropolis dynamics. We study its metastable behavior in the limit of vanishing temperature when the system is immersed in a small external magnetic field. We…

Probability · Mathematics 2022-03-02 Valentina Apollonio , Vanessa Jacquier , Francesca Romana Nardi , Alessio Troiani

It has been widely debated whether Arctic sea-ice loss can reach a tipping point beyond which a large sea-ice area disappears abruptly. The theory of dynamical systems predicts a slowing down when a system destabilises towards a tipping…

Atmospheric and Oceanic Physics · Physics 2016-01-26 Sebastian Bathiany , Bregje van der Bolt , Mark S. Williamson , Timothy M. Lenton , Marten Scheffer , Egbert van Nes , Dirk Notz

Ice sintering is a form of metamorphism that drives the microstructural evolution of an aggregate of grains through surface and volume diffusion. This leads to an increase in the grain-to-grain contact area ("neck") and density of the…

Iceberg melting is a critical factor for climate change, contributing to rising sea levels and climate change. However, the shape of an iceberg is an often neglected aspect of its melting process. Our study investigates the influence of…

Fluid Dynamics · Physics 2023-09-12 Rui Yang , Christopher J. Howland , Hao-Ran Liu , Roberto Verzicco , Detlef Lohse

Liquid salty micro-channels (brine) between growing ice platelets in sea ice are an important habitat for $CO_2$ - binding microalgaea with great impact on polar ecosystems. The structure formation of ice platelets is microscopically…

Pattern Formation and Solitons · Physics 2017-03-14 K. Morawetz , S. Thoms , B. Kutschan

Several environmental tipping points and self-reinforcing feedback loops are still disregarded within the frequently used climate models. Thus, existing climate models are not very representative for providing projections of the conditions…

Atmospheric and Oceanic Physics · Physics 2022-08-09 Beril Sirmacek

Sea ice cover in the Arctic and Antarctic is an important indicator of changes in the climate, with important environmental, economic and security consequences. The complexity of the spatio-temporal dynamics of sea ice makes it difficult to…

Dynamical Systems · Mathematics 2019-11-06 James Hogg , Maria Fonoberova , Igor Mezic
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