On some random billiards in a tube with superdiffusion

Henk Bruin; Niels Kolenbrander; Dalia Terhesiu

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arXiv · 2410.09461

On some random billiards in a tube with superdiffusion

Henk Bruin·Niels Kolenbrander·Dalia Terhesiu

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Abstract

We consider a class of random billiards in a tube, where reflection angles at collisions with the boundary of the tube are random variables rather than deterministic (and elastic) quantities. We obtain a (non-standard) Central Limit Theorem for the horizontal displacement of a particle, which marginally fails to have a second moment w.r.t.\ the invariant measure of the random billiard.

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Henk Bruin, Niels Kolenbrander, Dalia Terhesiu. 2024-10-12. On some random billiards in a tube with superdiffusion. https://arxiv.org/abs/2410.09461

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