Breaking the chain |
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Authors: | Michael Allman Volker Betz |
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Institution: | Department of Mathematics, University of Warwick, Coventry, CV4 7AL, England, United Kingdom |
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Abstract: | We consider the motion of a Brownian particle in 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 at a distance greater than 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. |
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Keywords: | 60J70 |
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