Statistical properties of one dimensional "turbulence"
Statistical Mechanics
2009-11-07 v1 Fluid Dynamics
Abstract
We study a one-dimensional discrete analog of the von Karman flow, widely investigated in turbulence. A lattice of anharmonic oscillators is excited by both ends in order to create a large scale structure in a highly nonlinear medium, in the presence of a dissipative term similar to the viscous term in a fluid. This system shows a striking similarity with a turbulent flow both at local and global scales. The properties of the nonlinear excitations of the lattice provide a partial understanding of this behavior.
Cite
@article{arxiv.cond-mat/0207515,
title = {Statistical properties of one dimensional "turbulence"},
author = {Michel Peyrard and Isabelle Daumont},
journal= {arXiv preprint arXiv:cond-mat/0207515},
year = {2009}
}
Comments
11 pages, LateX with EPS figures. Accepted for publication in Europhysics Letters