Large-scale lognormality in turbulence modeled by Ornstein-Uhlenbeck process

Abstract

Lognormality was found experimentally for coarse-grained squared turbulence velocity and velocity increment when the coarsening scale is comparable to the correlation scale of the velocity (Mouri et al. Phys. Fluids 21, 065107, 2009). We investigate this large-scale lognormality by using a simple stochastic process with correlation, the Ornstein-Uhlenbeck (OU) process. It is shown that the OU process has a similar large-scale lognormality, which is studied numerically and analytically.

arXiv comment7 pages, 5 figures, PRE in press

References in corpus (3)

• Approximation Methods for Non-linear Gravitational Clustering
• Large-scale lognormal fluctuations in turbulence velocity fields
• Fluctuations of statistics among subregions of a turbulence velocity field

Cited by in corpus (4)

• Log-normal distribution from a process that is not multiplicative but is additive
• Anomalous scaling of dynamical large deviations
• Anomalous scaling and first-order dynamical phase transition in large deviations of the Ornstein-Uhlenbeck process
• Rare Events and Single Big Jump Effects in Ornstein-Uhlenbeck Processes