Show simple item record

Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing

dc.contributor.author Mattingly, Jonathan Christopher
dc.contributor.author McKinley, Scott A
dc.contributor.author Pillai, NS
dc.date.accessioned 2015-03-20T17:56:59Z
dc.date.issued 2012-12-01
dc.identifier.issn 0304-4149
dc.identifier.uri https://hdl.handle.net/10161/9524
dc.description.abstract We consider a simple model for the fluctuating hydrodynamics of a flexible polymer in a dilute solution, demonstrating geometric ergodicity for a pair of particles that interact with each other through a nonlinear spring potential while being advected by a stochastic Stokes fluid velocity field. This is a generalization of previous models which have used linear spring forces as well as white-in-time fluid velocity fields. We follow previous work combining control theoretic arguments, Lyapunov functions, and hypo-elliptic diffusion theory to prove exponential convergence via a Harris chain argument. In addition we allow the possibility of excluding certain "bad" sets in phase space in which the assumptions are violated but from which the system leaves with a controllable probability. This allows for the treatment of singular drifts, such as those derived from the Lennard-Jones potential, which is a novel feature of this work. © 2012 Elsevier B.V. All rights reserved.
dc.relation.ispartof Stochastic Processes and their Applications
dc.relation.isversionof 10.1016/j.spa.2012.07.003
dc.title Geometric ergodicity of a bead-spring pair with stochastic Stokes forcing
dc.type Journal article
pubs.begin-page 3953
pubs.end-page 3979
pubs.issue 12
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Statistical Science
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 122


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record