Ising model for melt ponds on Arctic sea ice
Ising model for melt ponds on Arctic sea ice
复制标题
北极海冰融化池的 Ising 模型
DOI：
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发表时间：
2014
影响因子：
3.3
通讯作者：
K. Golden
中科院分区：
文献类型：
--
作者：
Yi;I. Sudakov;C. Strong;K. Golden
也许北极海冰融化最具标志性的特征是在其表面形成的独特的池塘。描述融水如何分布在表面上的几何图案在很大程度上决定了海冰覆盖的太阳反射率和透射率，这是气候建模和上层海洋生态学的关键参数。为了帮助开发一种预测性的理论方法来研究融化的海冰，特别是其表面上的亮区和暗区的图案，我们期待相变的统计力学，并引入一个二维的随机场伊辛模型，该模型只考虑了系统中最基本的物理。池塘被确定为亚稳态的模式，其中的二进制自旋变量对应于海冰表面上的融水或冰的存在。与由雪地形数据作为唯一的测量参数输入到模型中确定的晶格间距，能量最小化驱动系统从最初的随机状态向现实的池塘配置。该模型捕捉到的格局形成的北极融化池的基本机制，预测同意非常密切观察到的缩放池塘的大小和转变池塘的分形维数。
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 in particular, we look to the statistical mechanics of phase transitions and introduce a two-dimensional random field Ising model which accounts for only the most basic physics in the system. The ponds are identified as metastable states in the model, where the binary spin variable corresponds to the presence of melt water or ice on the sea ice surface. With the lattice spacing determined by snow topography data as the only measured parameter input into the model, energy minimization drives the system toward realistic pond configurations from an initially random state. The model captures the essential mechanism of pattern formation of Arctic melt ponds, with predictions that agree very closely with observed scaling of pond sizes and transition in pond fractal dimension.