Brownian flights over a circle

Alexander Vladimirov, Senya Shlosman, Sergei Nechaev

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


The stationary radial distribution, P(ρ), of a random walk with the diffusion coefficient D, which winds at the tangential velocity V around an impenetrable disk of radius R for R≫D/V converges to the distribution involving the Airy function. Typical trajectories are localized in the circular strip [R,R+δR1/3], where δ is a constant which depends on the parameters D and V and is independent of R.

Original languageEnglish
Article number012124
JournalPhysical Review E
Issue number1
Publication statusPublished - Jul 2020


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