Random Perturbations of 2-dimensional Hamiltonian Flows
Probability
2009-03-04 v1
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.
Cite
@article{arxiv.0903.0436,
title = {Random Perturbations of 2-dimensional Hamiltonian Flows},
author = {L. Koralov},
journal= {arXiv preprint arXiv:0903.0436},
year = {2009}
}