All the approximations thus far considered address situations with infinitesimally small Eulerian correlation times τ E whereas the observation time t is of order 1. Here we will discuss the situation when τ E is fixed and t goes to infinity. Naively the two approaches should be the same. However their asymptotics are similar but not exactly identical. A definite advantage of the second approach is that it can be checked by numerical simulations.
KeywordsVelocity Field Correlation Time Central Limit Theorem Random Matrice Tracer Concentration
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