Ergodic properties of a model for turbulent dispersion of inertial particles
classification
🧮 math-ph
math.MPnlin.CD
keywords
dispersionequationergodicmodelparticlespropertiesturbulentclose
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We study a simple stochastic differential equation that models the dispersion of close heavy particles moving in a turbulent flow. In one and two dimensions, the model is closely related to the one-dimensional stationary Schroedinger equation in a random delta-correlated potential. The ergodic properties of the dispersion process are investigated by proving that its generator is hypoelliptic and using control theory.
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