2006/12/31 by Emmanuelle Gouillart, N. Kuncio, Natalia Kuncio +7 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advection #Algebraic number #Chaotic #Chaotic mixing #Exponential decay #Exponential function #Field (mathematics) #Geometry #Homogeneity (statistics) #Materials science #Mathematical analysis #Mathematics #Mechanics #Mixing (physics) #Nonlinear Dynamics and Pattern Formation #Nuclear physics #Physics #Quantum chaos and dynamical systems #Scaling #Spectroscopy and Quantum Chemical Studies #Statistical physics #Statistics #Thermal diffusivity #Thermodynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.114501
published as Phys. Rev. Lett. 99, 114501 (2007) · 4 pages, 3 figures
openalex publication_date 2007/09/10 · arxiv created 2007/10/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We report on experiments of chaotic mixing in a closed vessel, in which a highly viscous fluid is stirred by a moving rod. We analyze quantitatively how the concentration field of a low-diffusivity dye relaxes towards homogeneity, and we observe a slow algebraic decay of the inhomogeneity, at odds with the exponential decay predicted by most previous studies. Visual observations reveal the dominant role of the vessel wall, which strongly influences the concentration field in the entire domain and causes the anomalous scaling. A simplified 1D model supports our experimental results. Quantitative analysis of the concentration pattern leads to scalings for the distributions and the variance of the concentration field consistent with experimental and numerical results.