Encounter distribution of two random walkers on a finite one-dimensional interval
(2011) In Journal of Physics A: Mathematical and Theoretical 44(39).- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2180165
- author
- Tejedor, Vincent ; Reiter-Schad, Michaela LU ; Benichou, Olivier ; Voituriez, Raphael and Metzler, Ralf
- organization
- publishing date
- 2011
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Physics A: Mathematical and Theoretical
- volume
- 44
- issue
- 39
- article number
- 395005
- publisher
- IOP Publishing
- external identifiers
-
- wos:000294969300008
- scopus:80052943379
- ISSN
- 1751-8113
- DOI
- 10.1088/1751-8113/44/39/395005
- language
- English
- LU publication?
- yes
- id
- 5e8caabc-f447-4453-8d76-50b4b6499c5b (old id 2180165)
- date added to LUP
- 2016-04-01 14:59:59
- date last changed
- 2024-01-10 11:17:06
@article{5e8caabc-f447-4453-8d76-50b4b6499c5b, abstract = {{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.}}, author = {{Tejedor, Vincent and Reiter-Schad, Michaela and Benichou, Olivier and Voituriez, Raphael and Metzler, Ralf}}, issn = {{1751-8113}}, language = {{eng}}, number = {{39}}, publisher = {{IOP Publishing}}, series = {{Journal of Physics A: Mathematical and Theoretical}}, title = {{Encounter distribution of two random walkers on a finite one-dimensional interval}}, url = {{http://dx.doi.org/10.1088/1751-8113/44/39/395005}}, doi = {{10.1088/1751-8113/44/39/395005}}, volume = {{44}}, year = {{2011}}, }