A chain of interacting particles under strain

Michael Allman, Volker Betz and Martin Hairer

Stochastic Processes and their Applications, 2011, vol. 121, issue 9, 2014-2042

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.

Keywords: Interacting; Brownian; particles; Pitchfork; bifurcation; Stochastic; differential; equations; Singular; perturbation (search for similar items in EconPapers)
Date: 2011
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0304414911001165
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:121:y:2011:i:9:p:2014-2042

Ordering information: This journal article can be ordered from
http://http://www.elsevier.com/wps/find/supportfaq.cws_home/regional
https://shop.elsevie ... _01_ooc_1&version=01

Access Statistics for this article

Stochastic Processes and their Applications is currently edited by T. Mikosch

More articles in Stochastic Processes and their Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().