Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern forming system

Abstract

Noise driven electroconvection in sandwich cells of nematic liquid crystals exhibits on-off intermittent behaviour at the onset of the instability. We study laser scattering of convection rolls to characterize the wavelengths and the trajectories of the stochastic amplitudes of the intermittent structures. The pattern wavelengths and the statistics of these trajectories are in quantitative agreement with simulations of the linearized electrohydrodynamic equations. The fundamental ${\tau }^{-3/2}$ distribution law for the durations $\tau$ of laminar phases as well as the power law of the amplitude distribution of intermittent bursts are confirmed in the experiments. Power spectral densities of the experimental and numerically simulated trajectories are discussed.

20 pages and 17 figures

Cited by in corpus (7)

• Modeling a Maunder Minimum
• Temporal response to harmonic driving in electroconvection
• Dynamics of laser-induced electroconvection pulses
• Amplitude Modulation and Relaxation-Oscillation of Counterpropagating Rolls within a Broken-Symmetry Laser-Induced Electroconvection Strip
• Inverse Modeling of Complex Networks Using Embedded Complex Logistic Maps
• Impact of noise on domain growth in electroconvection
• Geomagnetic field intensity in the middle jurassic - oligocene