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The emergence of large‐scale coherent structure under small‐scale random bombardments
Author(s) -
Majda Andrew J.,
Wang Xiaoming
Publication year - 2006
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20102
Subject(s) - statistical physics , scaling , scale (ratio) , forcing (mathematics) , mathematics , statistical mechanics , lagrangian coherent structures , physics , mathematical analysis , mechanics , geometry , quantum mechanics , vortex
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.