TY - JOUR
T1 - Studying random differential equations as a tool for turbulent diffusion
AU - Vanden Eijnden, E.
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1998
Y1 - 1998
N2 - A modification of Kraichnan’s direct interaction approximation (DIA) [R. H. Kraichnan, J. Math. Phys. 2, 124 (1961)] for random linear partial differential equations is proposed. The approximation is tested on the specific example of the turbulent advection of a scalar quantity by a random velocity field. It is shown to account for the sweeping more correctly than the DIA. As a result, it is valid for all times and it is able to describe nonstandard diffusive processes (i.e., superdiffusive and non-Gaussian) for which the DIA is not valid.
AB - A modification of Kraichnan’s direct interaction approximation (DIA) [R. H. Kraichnan, J. Math. Phys. 2, 124 (1961)] for random linear partial differential equations is proposed. The approximation is tested on the specific example of the turbulent advection of a scalar quantity by a random velocity field. It is shown to account for the sweeping more correctly than the DIA. As a result, it is valid for all times and it is able to describe nonstandard diffusive processes (i.e., superdiffusive and non-Gaussian) for which the DIA is not valid.
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U2 - 10.1103/PhysRevE.58.R5229
DO - 10.1103/PhysRevE.58.R5229
M3 - Article
AN - SCOPUS:0347334644
VL - 58
SP - R5229-R5232
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
SN - 1063-651X
IS - 5
ER -