Abstract
Boundary-collision orbit statistics in vertex-splitting rational polygonal and disk-scattering billiards is studied using deterministic and stochastic schemes. On increasing the number of vertices in pseudointegrable polygons, the diffusion exponent, deduced from the mean-square orbit displacement, exhibits a crossover from a ballistic to a superdiffusive regime, characteristic of chaotic Sinai billiards.
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More From: Physical review. E, Statistical, nonlinear, and soft matter physics
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