The spectrum of the billiard Laplacian of a family of random billiards

DOI10.1007/S10955-010-0079-5zbMath1205.82037OpenAlexW2146931540MaRDI QIDQ616231

Renato Feres, Hong-Kun Zhang

Publication date: 7 January 2011

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-010-0079-5

zbMATH Keywords

billiardsspectral gapclassical scatteringKnudsen law

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05)

Related Items (8)

Fermi acceleration in rotating drums ⋮ Diffusivity in multiple scattering systems ⋮ From billiards to thermodynamics ⋮ Stochastic perturbations of convex billiards ⋮ Multiple scattering in random mechanical systems and diffusion approximation ⋮ Spectral gap for a class of random billiards ⋮ Entropy production in random billiards ⋮ Deterministic approximations of random reflectors

Cites Work

• Statistical properties of dynamical systems with some hyperbolicity
• Dynamical systems with elastic reflections
• Billiards in a general domain with random reflections
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