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Random perturbations of 2-dimensional hamiltonian flows
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  • Published: 02 February 2004

Random perturbations of 2-dimensional hamiltonian flows

  • Leonid Koralov1 

Probability Theory and Related Fields volume 129, pages 37–62 (2004)Cite this article

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Abstract.

We consider the motion of a particle in a periodic two dimensional flow perturbed by small (molecular) diffusion. The flow is generated by a divergence free zero mean vector field. The long time behavior corresponds to the behavior of the homogenized process - that is diffusion process with the constant diffusion matrix (effective diffusivity). We obtain the asymptotics of the effective diffusivity when the molecular diffusion tends to zero.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA

    Leonid Koralov

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  1. Leonid Koralov
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Correspondence to Leonid Koralov.

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Cite this article

Koralov, L. Random perturbations of 2-dimensional hamiltonian flows. Probab. Theory Relat. Fields 129, 37–62 (2004). https://doi.org/10.1007/s00440-003-0320-0

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  • Received: 26 March 2003

  • Revised: 24 October 2003

  • Published: 02 February 2004

  • Issue Date: May 2004

  • DOI: https://doi.org/10.1007/s00440-003-0320-0

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Keywords

  • Vector Field
  • Diffusion Process
  • Effective Diffusivity
  • Molecular Diffusion
  • Time Behavior
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