The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus.
Boussinesq,Essai sur la th´ eorie des eaux courantes, M´ emoires pr´ esent´ es par divers savants a l’Academie des Sciences de l’Institut National de France, XXIII (1), (1877)
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The inertial It\^o drift and its applications to particle collision
The inertial Itô drift emerges in the limiting first-order equation for small-mass particles in Ornstein-Uhlenbeck driven flows, vanishing only for zero mass-to-correlation-time ratio and corresponding to Stratonovich calculus.