Boca, Florin P. Distribution of the linear flow length in a honeycomb in the small-scatterer limit. (English) Zbl 1221.37075 New York J. Math. 16, 651-735 (2010). Summary: We study the statistics of the linear flow in a punctured honeycomb lattice, or equivalently the free motion of a particle on a regular hexagonal billiard table, with holes of equal size at the corners, obeying the customary reflection rules. In the small-scatterer limit we prove the existence of the limiting distribution of the free path length with randomly chosen origin of the trajectory, and explicitly compute it. Cited in 3 Documents MSC: 37D50 Hyperbolic systems with singularities (billiards, etc.) (MSC2010) 11P21 Lattice points in specified regions 82C40 Kinetic theory of gases in time-dependent statistical mechanics Keywords:honeycomb tessellation; linear flow; planar billiard; free path length PDFBibTeX XMLCite \textit{F. P. Boca}, New York J. Math. 16, 651--735 (2010; Zbl 1221.37075) Full Text: arXiv EuDML EMIS