4.6 Article

Superdiffusion in the Periodic Lorentz Gas

Journal

COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 347, Issue 3, Pages 933-981

Publisher

SPRINGER
DOI: 10.1007/s00220-016-2578-y

Keywords

-

Funding

  1. European Research Council under the European Union / ERC [291147]
  2. Royal Society
  3. Hungarian National Science Foundation (OTKA) [K100473]
  4. Leverhulme Trust through International Network Grant Laplacians, Random Walks, Quantum Spin Systems
  5. Isaac Newton Institute, Cambridge
  6. European Research Council (ERC) [291147] Funding Source: European Research Council (ERC)

Ask authors/readers for more resources

We prove a superdiffusive central limit theorem for the displacement of a test particle in the periodic Lorentz gas in the limit of large times t and low scatterer densities (Boltzmann-Grad limit). The normalization factor is root t log t, where t is measured in units of the mean collision time. This result holds in any dimension and for a general class of finite-range scattering potentials. We also establish the corresponding invariance principle, i.e., the weak convergence of the particle dynamics to Brownian motion.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.6
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available