We provide mathematical justification of the emergence of large-scale coherent structure in a two-dimensional fluid system under small-scale random bombardments with small forcing and appropriate scaling assumptions. the analysis shows that the large-scale structure emerging out of the small-scale random forcing is not the one predicted by equilibrium statistical mechanics. But the error is very small, which explains earlier successful prediction of the large-scale structure based on equilibrium statistical mechanics. © 2005 Wiley Periodicals, Inc.
A. Majda and X. Wang, "The Emergence of Large-Scale Coherent Structure under Small-Scale Random Bombardments," Communications on Pure and Applied Mathematics, vol. 59, no. 4, pp. 467 - 500, Wiley, Jan 2006.
The definitive version is available at https://doi.org/10.1002/cpa.20102
Mathematics and Statistics
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Article - Journal
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01 Jan 2006