Applications of Wiener’s Path Integral for the Diffusion of Brownian Particles in Shear Flows
- 1 February 1986
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Applied Mathematics
- Vol. 46 (1) , 49-55
- https://doi.org/10.1137/0146005
Abstract
Wiener's path integral theory is revisited, stressing that it holds only when the condition of local equilibrium is fulfilled. The diffusion of a particle in a two and three-dimensional shear flow is studied, showing that for small time intervals the particle diffuses freely, without being influenced by the velocity gradient of the incident flow, while for long time intervals it exhibits a time dependent dispersion coefficientKeywords
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