Diffusion in a weakly random Hamiltonian flow

  title={Diffusion in a weakly random Hamiltonian flow},
  author={Tomasz Komorowski and Lenya Ryzhik},
We consider the motion of a particle governed by a weakly random Hamiltonian flow. We identify temporal and spatial scales on which the particle trajectory converges to a spatial Brownian motion. The main technical issue in the proof is to obtain error estimates for the convergence of the solution of the stochastic acceleration problem to a momentum diffusion. We also apply our results to the system of random geometric acoustics equations and show that the energy density of the acoustic waves… CONTINUE READING
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