Diffusion in a weakly random Hamiltonian flow

@inproceedings{Komorowski2004DiffusionIA,
  title={Diffusion in a weakly random Hamiltonian flow},
  author={Tomasz Komorowski and Lenya Ryzhik},
  year={2004}
}
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
Highly Cited
This paper has 18 citations. REVIEW CITATIONS

From This Paper

Topics from this paper.
12 Citations
16 References
Similar Papers

References

Publications referenced by this paper.
Showing 1-10 of 16 references

An Introduction to the Analysis of Paths on a Riemannian Manifold

  • D. Strook
  • Math. Surv. and Monographs v. 74
  • 2000

Linear Boltzmann equation as the weak coupling limit of a random Schrödinger Equation

  • L. Erdös, H. T. Yau
  • Comm. Pure Appl. Math., 53
  • 2000
2 Excerpts

Elliptic partial differential equations of second order

  • D. Gilbarg, N. S. Trudinger
  • Springer Verlag
  • 1998
1 Excerpt

Homogenization limits and Wigner transforms

  • P. Gérard, P. A. Markowich, N. J. Mauser, F. Poupaud
  • Comm. Pure Appl. Math., 50
  • 1997
3 Excerpts

Sur les mesures de Wigner

  • P.-L. Lions, T. Paul
  • Rev. Mat. Iberoamericana, 9
  • 1993
1 Excerpt

Similar Papers

Loading similar papers…