Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Chatterjee, Abhinava UNSPECIFIED UNSPECIFIED UNSPECIFIED Christou, Christos UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, Andreas UNSPECIFIED UNSPECIFIED UNSPECIFIED
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
Uncontrolled Keywords:	Keywords Language Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/18310