AN HYPOTHESIS CONCERNING TURBULENT DIFFUSION
- 1 May 1960
- journal article
- Published by Canadian Science Publishing in Canadian Journal of Physics
- Vol. 38 (5) , 665-676
- https://doi.org/10.1139/p60-072
Abstract
It is shown that the Goldstein equation for turbulent diffusion implies diffusion currents dependent upon the history of the concentration gradient. An analysis of the stochastic model upon which the Goldstein equation is based reveals that the hereditary function, by which the history is weighted, is the ensemble autocorrelation function of velocity. Heuristic arguments and an appeal to the theory of irreversible thermodynamic processes lead to the postulation of an integro-differential equation for turbulent diffusion involving the velocity autocorrelations of the diffusate particles.Keywords
This publication has 3 references indexed in Scilit:
- Information Theory and Statistical MechanicsPhysical Review B, 1957
- ON DIFFUSION BY DISCONTINUOUS MOVEMENTS, AND ON THE TELEGRAPH EQUATIONThe Quarterly Journal of Mechanics and Applied Mathematics, 1951
- The Brownian Movement and Stochastic EquationsAnnals of Mathematics, 1942