Tail asymptotics of free path lengths for the periodic Lorentz process: on Dettmann's geometric conjectures

DOI10.1007/s00220-014-2086-xzbMath1379.37079arXiv1210.2231OpenAlexW2017726992WikidataQ123281886 ScholiaQ123281886MaRDI QIDQ398736

Tamás Varjú, Domokos Szász, Péter Nándori

Publication date: 15 August 2014

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.2231

zbMATH Keywords

convex bodiesarrangement of ballsperiodic Lorentz process

Mathematics Subject Classification ID

Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41) Dynamical aspects of statistical mechanics (37A60) Homogeneous flows (37A17)

Related Items (5)

Superdiffusion in the periodic Lorentz gas ⋮ Improved tail estimates for the distribution of quadratic Weyl sums ⋮ Multidimensional hyperbolic billiards ⋮ Free path lengths in quasicrystals ⋮ Power-law distributions for the free path length in Lorentz gases

Cites Work

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• On the distribution of free path lengths for the periodic Lorentz gas II
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• Ergodic properties of semi-dispersing billiards. I. Two cylindric scatterers in the 3D torus
• Non-integrability of cylindric billiards and transitive Lie group actions

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