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• W4383374911 abstract "We analyse a class of stochastic advection problems by conditionally averaging the passive tracer equation with respect to a given flow state. In doing so, we obtain expressions for the turbulent diffusivity as a function of the flow statistics spectrum. When flow statistics are given by a continuous-time Markov process with a finite state space, calculations are amenable to analytic treatment. When the flow statistics are more complex, we show how to approximate turbulent fluxes as hierarchies of finite state space continuous-time Markov processes. The ensemble average turbulent flux is expressed as a linear operator that acts on the ensemble average of the tracer. We recover the classical estimate of turbulent flux as a diffusivity tensor, the components of which are the integrated autocorrelation of the velocity field in the limit that the operator becomes local in space and time." @default.
• W4383374911 created "2023-07-07" @default.
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• W4383374911 date "2023-07-06" @default.
• W4383374911 modified "2023-10-12" @default.
• W4383374911 title "Statistical non-locality of dynamically coherent structures" @default.
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• W4383374911 doi "https://doi.org/10.1017/jfm.2023.467" @default.
• W4383374911 hasPublicationYear "2023" @default.
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