By Theodore Drivas and Gregory Eyink

We derive here Lagrangian fluctuation-dissipation relations for advected scalars in wall-bounded flows. The relations equate the dissipation rate for either passive or active scalars to the variance of scalar inputs from the initial values, boundary values, and internal sources, as those are sampled backward in time by stochastic Lagrangian trajectories.... Show more

July 13, 2017

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A Lagrangian fluctuation-dissipation relation for scalar turbulence, II. Wall-bounded flows

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