H. Willaime et al., SPATIOTEMPORAL INTERMITTENCY IN LINES OF VORTICES, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 48(1), 1993, pp. 288-295
The turbulent regimes of lines of electromagnetically forced vortices
are investigated experimentally. It is found that turbulence appears i
n the form of spatiotemporal intermittency. At lower values of the con
trol parameter, a first regime is observed, characterized by spontaneo
us nucleation of the turbulent domains, and algebraic distributions of
the lifetimes of the laminar domains. On the space-time diagrams, the
bursts are associated with amplitude holes and rapid phase changes. A
t larger values of the control parameter the bursts connect and the sy
stem percolates. In this second regime, the distributions of the lifet
imes of the laminar domains are exponential. The corresponding transit
ions appear to be of second order. A model of coupled oscillators, wit
h coefficients measured experimentally, is shown to reproduce reasonab
ly well the characteristics of the turbulent regime below the percolat
ion threshold. In these experiments, percolation is found to be a usef
ul concept for the description of turbulence, and the results suggest
that nonadiabatic effects, such as the discrete nature of the system,
play a role in the system.