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A chain of interacting particles under strain

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Allman, Michael J., Betz, Volker and Hairer, Martin. (2011) A chain of interacting particles under strain. Stochastic Processes and their Applications, Vol.121 (No.9). pp. 2014-2042. ISSN 0304-4149

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Official URL: http://dx.doi.org/10.1016/j.spa.2011.05.007

Abstract

We investigate the behaviour of a chain of interacting Brownian particles with one end fixed and the other end moving away at slow speed epsilon > 0, in the limit of small noise. The interaction between particles is through a pairwise potential U with finite range b > 0. We consider both overdamped and underdamped dynamics.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics
Divisions:	Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH):	Brownian movements, Particles -- Mathematical models
Journal or Publication Title:	Stochastic Processes and their Applications
Publisher:	Elsevier BV * North-Holland
ISSN:	0304-4149
Date:	September 2011
Volume:	Vol.121
Number:	No.9
Page Range:	pp. 2014-2042
Identification Number:	10.1016/j.spa.2011.05.007
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Engineering and Physical Sciences Research Council (EPSRC), University of Warwick, Leverhulme Trust (LT)
Grant number:	EP/P502810/1 (EPSRC), EP/D07181X/1 (EPSRC), EP/D071593/1 (EPSRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/38474