Turbulent diffusion phase transition is due to singular energy spectrum.

• DOI: 10.1073/pnas.92.24.11005
• Publication Date: 2006-05-31T13:24:24Z
• Authors: T C Wallstrom
• Keywords: Intermittency; Phenomenological model; Turbulence Modeling; Energy spectrum; Turbulent diffusion

The phase transition for turbulent diffusion, reported by Avellaneda and Majda [Avellaneda, M. & Majda, A. J. (1994) Philos. Trans. R. Soc. London A 346, 205-233, several earlier papers], is traced to a modeling assumption in which the energy spectrum of fluid singularly dependent on viscosity inertial range. Phenomenological models turbulence intermittency, contrast, require that be independent When assumed consistent with phenomenological models, there no diffusion.