Random Perturbations of 2-dimensional Hamiltonian Flows

نویسنده

  • Leonid Koralov
چکیده

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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تاریخ انتشار 2004