Universität zu Köln

Christou, Christos and Schadschneider, Andreas ORCID: 0000-0002-2054-7973 (2015). Diffusion with resetting in bounded domains. J. Phys. A-Math. Theor., 48 (28). BRISTOL: IOP PUBLISHING LTD. ISSN 1751-8121

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Abstract

We consider the one-dimensional diffusion in a bounded domain with stochastic resetting. We start our analysis by presenting a method to derive the master equation for different resetting mechanisms. In the next step we compute the non-equilibrium steady state for a special case of this differential equation. Then we consider the existence of an absorbing point in the system and calculate the mean time to absorption of the diffusive particle by the target. Numerical and analytical calculations of the optimal resetting rate reveal a second order phase transition. Finally we discuss different special cases of the presented problem.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Christou, Christos UNSPECIFIED UNSPECIFIED UNSPECIFIED Schadschneider, Andreas UNSPECIFIED orcid.org/0000-0002-2054-7973 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-398754
DOI:	10.1088/1751-8113/48/28/285003
Journal or Publication Title:	J. Phys. A-Math. Theor.
Volume:	48
Number:	28
Date:	2015
Publisher:	IOP PUBLISHING LTD
Place of Publication:	BRISTOL
ISSN:	1751-8121
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ANNIHILATION; TIMES Multiple languages Physics, Multidisciplinary; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/39875