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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.

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.

Suggested Citation

  • Mattingly, Jonathan C. & McKinley, Scott A. & Pillai, Natesh S., 2012. "Geometric ergodicity of a bead–spring pair with stochastic Stokes forcing," Stochastic Processes and their Applications, Elsevier, vol. 122(12), pages 3953-3979.
    • Handle: RePEc:eee:spapps:v:122:y:2012:i:12:p:3953-3979
    DOI: 10.1016/j.spa.2012.07.003
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    References listed on IDEAS

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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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