# Lattice models of advection-diffusion.

@article{Pierrehumbert2000LatticeMO, title={Lattice models of advection-diffusion.}, author={Raymond T Pierrehumbert}, journal={Chaos}, year={2000}, volume={10 1}, pages={ 61-74 } }

- Published in Chaos 2000
DOI:10.1063/1.166476

We present a synthesis of theoretical results concerning the probability distribution of the concentration of a passive tracer subject to both diffusion and to advection by a spatially smooth time-dependent flow. The freely decaying case is contrasted with the equilibrium case. A computationally efficient model of advection-diffusion on a lattice is introduced, and used to test and probe the limits of the theoretical ideas. It is shown that the probability distribution for the freely decaying… CONTINUE READING

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