Statistical theory of reversals in two-dimensional confined turbulent flows
Chaotic Dynamics
2016-12-07 v1 Statistical Mechanics
Fluid Dynamics
Abstract
It is shown that the Truncated Euler Equations, i.e. a finite set of ordinary differential equations for the amplitude of the large-scale modes, can correctly describe the complex transitional dynamics that occur within the turbulent regime of a confined 2D Navier-Stokes flow with bottom friction and a spatially periodic forcing. In particular, the random reversals of the large scale circulation on the turbulent background involve bifurcations of the probability distribution function of the large-scale circulation velocity that are described by the related microcanonical distribution which displays transitions from gaussian to bimodal and broken ergodicity. A minimal 13-mode model reproduces these results.
Keywords
Cite
@article{arxiv.1607.01038,
title = {Statistical theory of reversals in two-dimensional confined turbulent flows},
author = {Vishwanath Shukla and Stephan Fauve and Marc Brachet},
journal= {arXiv preprint arXiv:1607.01038},
year = {2016}
}
Comments
6 pages, 2 figures