Breaking the chain
| dc.creator | Allman, Michael | |
| dc.creator | Betz, Volker | |
| dc.date | 2008-06-06 | |
| dc.date | 2008-07-04 | |
| dc.date.accessioned | 2026-07-07T09:48:10Z | |
| dc.date.available | 2026-07-07T09:48:10Z | |
| dc.description | We consider the motion of a Brownian particle in $\mathbb{R}$, moving between a particle fixed at the origin and another moving deterministically away at slow speed $ε>0$. The middle particle interacts with its neighbours via a potential of finite range $b>0$, with a unique minimum at $a>0$, where $b<2a$. We say that the chain of particles breaks on the left- or right-hand side when the middle particle is greater than a distance $b$ from its left or right neighbour, respectively. We study the asymptotic location of the first break of the chain in the limit of small noise, in the case where $ε= ε(σ)$ and $σ>0$ is the noise intensity. | |
| dc.description | 13 pages, 2 figures. v2: Corrected a mistake in proof of second part of main theorem | |
| dc.identifier | https://arxiv.org/abs/0806.1163 | |
| dc.identifier | http://arxiv.org/abs/0806.1163 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164114 | |
| dc.subject | Probability | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60J70 | |
| dc.title | Breaking the chain | |
| dc.type | text |