Derivation of maximum entropy principles in two-dimensional turbulence via large deviations
type: Item
instance of: scholarly article
title: Derivation of maximum entropy principles in two-dimensional turbulence via large deviations
zbMATH Open document ID: 0966.76039
DOI: 10.1023/A:1018671813486
author: N. Delaunay
published in: Journal of Statistical Physics
publication date: 2000-08-09T00:00:00Z
review text: Both physical observations and numerical simulations show that a freely evolving, turbulent fluid in two dimensions tends to form long-lived, large-scale coherent structures. In two dimensions, the vorticity transport equation governs the evolution of an ideal fluid. Here, the authors formulate and investigate certain corresponding lattice models. The main result of the paper concerns the continuum limit of lattice models and its physical implications. To prove the main theorem, the authors use the properties of hidden processes.
Mathematics Subject Classification ID: 76F99
Mathematics Subject Classification ID: 82B20
zbMATH DE Number: 1486431
zbMATH Keywords: large-scale coherent structures
zbMATH Keywords: vorticity transport equation
zbMATH Keywords: lattice models
zbMATH Keywords: continuum limit
MaRDI profile type: Publication
full work available at URL: a:1018671813486
OpenAlex ID: W1641427243
description: scientific article; zbMATH DE number 1486431