Abstract:
Consider the domain
and let the free path length be defined as
The distribution of values of is studied in the limit as for all . It is shown that the value is critical for this problem: in other words, the limiting behavior of depends only on whether γ is larger or smaller than .
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Received: 1 March 1996 / Accepted: 25 March 1997
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Bourgain, J., Golse, F. & Wennberg, B. On the Distribution of Free Path Lengths¶for the Periodic Lorentz Gas . Comm Math Phys 190, 491–508 (1998). https://doi.org/10.1007/s002200050249
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DOI: https://doi.org/10.1007/s002200050249