Phase Diagram for Turbulent Transport: Sampling Drift, Eddy Diffusivity and Variational Principles

Details Phase Diagram for Turbulent Transport: Sampling Drift, Eddy Diffusivity and Variational Principles Phase Diagram for Turbulent Transport: Sampling Drift, Eddy Diffusivity and Variational Principles

1999-06-08

arxiv.org/abs/physics/9906018v1

Physics

Fluid Dynamics

Scientific paper

10.1016/S0167-2789(99)00150-5

We study the long-time, large scale transport in a three-parameter family of isotropic, incompressible velocity fields with power-law spectra. Scaling law for transport is characterized by the scaling exponent $q$ and the Hurst exponent $H$, as functions of the parameters. The parameter space is divided into regimes of scaling laws of different {\em functional forms} of the scaling exponent and the Hurst exponent. We present the full three-dimensional phase diagram. The limiting process is one of three kinds: Brownian motion ($H=1/2$), persistent fractional Brownian motions ($1/2

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