Encounter distribution of two random walkers on a finite one-dimensional interval
Författare
Summary, in English
We analyse the first-passage properties of two random walkers confined to a finite one-dimensional domain. For the case of absorbing boundaries at the endpoints of the interval, we derive the probability that the two particles meet before either one of them becomes absorbed at one of the boundaries. For the case of reflecting boundaries, we obtain the mean first encounter time of the two particles. Our approach leads to closed-form expressions that are more easily tractable than a previously derived solution in terms of the Weierstrass' elliptic function.
Publiceringsår
2011
Språk
Engelska
Publikation/Tidskrift/Serie
Journal of Physics A: Mathematical and Theoretical
Volym
44
Issue
39
Länkar
Dokumenttyp
Artikel i tidskrift
Förlag
IOP Publishing
Ämne
- Biophysics
Status
Published
ISBN/ISSN/Övrigt
- ISSN: 1751-8113