Chatterjee, Abhinava, Christou, Christos and Schadschneider, Andreas (2018). Diffusion with resetting inside a circle. Phys. Rev. E, 97 (6). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2470-0053
Full text not available from this repository.Abstract
We study the Brownian motion of a particle in a bounded circular two-dimensional domain in search for a stationary target on the boundary of the domain. The process switches between two modes: one where it performs a two-dimensional diffusion inside the circle and one where it diffuses along the one-dimensional boundary. During the process, the Brownian particle resets to its initial position with a constant rate r. The Fokker-Planck formalism allows us to calculate the mean time to absorption (MTA) as well as the optimal resetting rate for which the MTA is minimized From the derived analytical results the parameter regions where resetting reduces the search time can be specified. We also provide a numerical method for the verification of our results.
Item Type: | Journal Article | ||||||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-183106 | ||||||||||||||||
DOI: | 10.1103/PhysRevE.97.062106 | ||||||||||||||||
Journal or Publication Title: | Phys. Rev. E | ||||||||||||||||
Volume: | 97 | ||||||||||||||||
Number: | 6 | ||||||||||||||||
Date: | 2018 | ||||||||||||||||
Publisher: | AMER PHYSICAL SOC | ||||||||||||||||
Place of Publication: | COLLEGE PK | ||||||||||||||||
ISSN: | 2470-0053 | ||||||||||||||||
Language: | English | ||||||||||||||||
Faculty: | Unspecified | ||||||||||||||||
Divisions: | Unspecified | ||||||||||||||||
Subjects: | no entry | ||||||||||||||||
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Refereed: | Yes | ||||||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/18310 |
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