Transition to spatiotemporal chaos in a two-dimensional hydrodynamic system

Phys Rev Lett. 2005 Apr 8;94(13):134502. doi: 10.1103/PhysRevLett.94.134502. Epub 2005 Apr 7.

Abstract

We study the transition to spatiotemporal chaos in a two-dimensional hydrodynamic experiment where liquid columns take place in the gravity induced instability of a liquid film. The film is formed below a plane grid which is used as a porous media and is continuously supplied with a controlled flow rate. This system can be either ordered (on a hexagonal structure) or disordered depending on the flow rate. We observe, for the first time in an initially structured state, a subcritical transition to spatiotemporal disorder which arises through spatiotemporal intermittency. Statistics of numbers, creations, and fusions of columns are investigated. We exhibit a critical behavior close to the directed percolation one.