The inertial Itô drift and its applications to particle collision
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866917491387662336 |
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| author | Cerrai, Sandra Flandoli, Franco Xie, Mengzi |
| author_facet | Cerrai, Sandra Flandoli, Franco Xie, Mengzi |
| contents | The small mass $μ$ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time $ε$ going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit $α$ of the ratio $μ/ε$; the drift being zero when $α=0$, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory, when applied directly to the first-order system with Ornstein-Uhlenbeck driver. We discuss the application of this result to particles driven by Stokes force;\ we identify inertial centrifugal effects and the so-called turbophoretic effect, as examples of the inertial-Itô-drift. We also analyze concentration effects and their link with the theory of particle collision in turbulent fluids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_13518 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The inertial Itô drift and its applications to particle collision Cerrai, Sandra Flandoli, Franco Xie, Mengzi Probability The small mass $μ$ limit of an inertial system driven by an Ornstein Uhlenbeck fluid force, with correlation time $ε$ going to zero, leads to a first order system with an additional drift, which we call inertial-Itô-drift, depending on the limit $α$ of the ratio $μ/ε$; the drift being zero when $α=0$, corresponding to the Stratonovich integral in the limit equation, as in the Wong-Zakai theory, when applied directly to the first-order system with Ornstein-Uhlenbeck driver. We discuss the application of this result to particles driven by Stokes force;\ we identify inertial centrifugal effects and the so-called turbophoretic effect, as examples of the inertial-Itô-drift. We also analyze concentration effects and their link with the theory of particle collision in turbulent fluids. |
| title | The inertial Itô drift and its applications to particle collision |
| topic | Probability |
| url | https://arxiv.org/abs/2605.13518 |