The emergence of large-scale coherent structure under small-scale random bombardments

Andrew Majda, Xiaoming Wang

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)467-500
Number of pages34
JournalCommunications on Pure and Applied Mathematics
Volume59
Issue number4
StatePublished - Apr 2006

Fingerprint

Coherent Structures
Statistical mechanics
Large-scale Structure
Statistical Mechanics
Forcing
Justification
Fluids
Scaling
Fluid
Prediction

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

The emergence of large-scale coherent structure under small-scale random bombardments. / Majda, Andrew; Wang, Xiaoming.

In: Communications on Pure and Applied Mathematics, Vol. 59, No. 4, 04.2006, p. 467-500.

Research output: Contribution to journalArticle

@article{062514d6827b458e8a6f8bdadc7900ec,
title = "The emergence of large-scale coherent structure under small-scale random bombardments",
abstract = "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.",
author = "Andrew Majda and Xiaoming Wang",
year = "2006",
month = "4",
language = "English (US)",
volume = "59",
pages = "467--500",
journal = "Communications on Pure and Applied Mathematics",
issn = "0010-3640",
publisher = "Wiley-Liss Inc.",
number = "4",

}

TY - JOUR

T1 - The emergence of large-scale coherent structure under small-scale random bombardments

AU - Majda, Andrew

AU - Wang, Xiaoming

PY - 2006/4

Y1 - 2006/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33644998524&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33644998524&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33644998524

VL - 59

SP - 467

EP - 500

JO - Communications on Pure and Applied Mathematics

JF - Communications on Pure and Applied Mathematics

SN - 0010-3640

IS - 4

ER -