# Taylor's diffusion theorem

From Glossary of Meteorology

## Taylor's diffusion theorem

The theorem of G. I. Taylor in the statistical theory of atmospheric turbulence: where

*x*is the distance traveled by a particle in the time interval*T*,*u*is the fluctuation or eddy velocity of the particle, and*R*(ξ) is the Lagrangian correlation coefficient between the particle's velocity at time*t*and*t + s*.