Behavior of the velocity autocorrelation function for the periodic Lorentz gas

DOI10.1016/0167-2789(88)90108-XzbMath0642.76094OpenAlexW2076872703MaRDI QIDQ1101297

B. George

Publication date: 1988

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90108-x

zbMATH Keywords

initial conditionsunbounded horizonbounded horizon regimetriangular Lorentz gasvelocity autocorrelation function

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in equilibrium statistical mechanics (82B40) Basic methods in fluid mechanics (76M99)

Related Items (6)

On the mathematical transport theory in microporous media: the billiard approach ⋮ Superpolynomial and polynomial mixing for semiflows and flows ⋮ Polynomial decay of correlations for flows, including Lorentz gas examples ⋮ Exponential decay of correlations for finite horizon Sinai billiard flows ⋮ Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon ⋮ Long-time tails of the velocity autocorrelation functions for the triangular periodic Lorentz gas

Cites Work

• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Separatrix splitting for systems with three time scales
• Diffusion in a Periodic Lorentz Gas
• Perturbed billiard systems, I. The ergodicity of the motion of a particle in a compound central field
• Dynamical systems with elastic reflections
• Billiards in polygons

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