Ising model for melt ponds on Arctic sea ice

@article{Ma2014IsingMF,
  title={Ising model for melt ponds on Arctic sea ice},
  author={Yi-ping Ma and Ivan Sudakov and Courtenay Strong and Kenneth M. Golden},
  journal={New Journal of Physics},
  year={2014},
  volume={21}
}
Perhaps the most iconic feature of melting Arctic sea ice is the distinctive ponds that form on its surface. The geometrical patterns describing how melt water is distributed over the surface largely determine the solar reflectance and transmittance of the sea ice cover, which are key parameters in climate modeling and upper ocean ecology. In order to help develop a predictive theoretical approach to studying melting sea ice, and the resulting patterns of light and dark regions on its surface… 

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It is shown that a simple model of voids surrounding randomly sized and placed overlapping circles reproduces the essential features of pond patterns and can be exploited in future models of Arctic melt ponds that would improve predictions of the response of sea ice to Arctic warming.

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