Random perturbations of 2-dimensional hamiltonian flows |
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Authors: | Email author" target="_blank">Leonid?KoralovEmail author |
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Institution: | (1) Department of Mathematics, Princeton University, Princeton, NJ, 08544, USA |
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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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