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

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  • Mattingly, Jonathan C.
  • McKinley, Scott A.
  • Pillai, Natesh S.
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    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.

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    Bibliographic Info

    Article provided by Elsevier in its journal Stochastic Processes and their Applications.

    Volume (Year): 122 (2012)
    Issue (Month): 12 ()
    Pages: 3953-3979

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    Handle: RePEc:eee:spapps:v:122:y:2012:i:12:p:3953-3979

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    Keywords: Geometric ergodicity; Stochastic differential equations; Lyapunov function; Lennard-Jones potential; Averaging;

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    1. Mattingly, J. C. & Stuart, A. M. & Higham, D. J., 2002. "Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise," Stochastic Processes and their Applications, Elsevier, vol. 101(2), pages 185-232, October.
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