Statistical properties of one-dimensional “turbulence”
Laboratoire de Physique, Ecole Normale
Supérieure de Lyon
46 allée d'Italie, 69364 Lyon Cedex 07, France
Accepted: 21 June 2002
We study a one-dimensional discrete analog of the von Kármán 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.
PACS: 47.27.Eq – Turbulence simulation and modeling / 05.45.-a – Nonlinear dynamics and nonlinear dynamical systems
© EDP Sciences, 2002