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Register a new userWinding of a Brownian particle around a point vortex
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Added by
Jean-Luc Thiffeault
Publication date
2018
fields
Physics
and research's language is
English
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We derive the asymptotic winding law of a Brownian particle in the plane subjected to a tangential drift due to a point vortex. For winding around a point, the normalized winding angle converges to an inverse Gamma distribution. For winding around a disk, the angle converges to a distribution given by an elliptic theta function. For winding in an annulus, the winding angle is asymptotically Gaussian with a linear drift term. We validate our results with numerical simulations.
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