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We perform numerical measurements of the moments of the position of a tracerparticle in a two-dimensional periodic billiard model (Lorentz gas) withinfinite corridors. This model is known to exhibit a weak form ofsuper-diffusion, in the sense that there is a logarithmic correction to thelinear growth in time of the mean-squared displacement. We show numericallythat this expected asymptotic behavior is easily overwhelmed by the subleadinglinear growth throughout the time-range accessible to numerical simulations. Wecompare our simulations to the known analytical results for the variance of theanomalously-rescaled limiting normal distributions.

Measuring logarithmic corrections to normal diffusion in infinite-horizon billiards