Statistical properties of one dimensional "turbulence"

Details Statistical properties of one dimensional "turbulence" Statistical properties of one dimensional "turbulence"

2002-07-22

arxiv.org/abs/cond-mat/0207515v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, LateX with EPS figures. Accepted for publication in Europhysics Letters

Scientific paper

10.1209/epl/i2002-00118-y

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.

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