Long-time tails of the velocity autocorrelation functions for the triangular periodic Lorentz gas

DOI10.1007/BF02508465zbMath0945.82511OpenAlexW2035276085MaRDI QIDQ1285219

K. Appert

Publication date: 11 October 2000

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

Full work available at URL: https://doi.org/10.1007/bf02508465

zbMATH Keywords

chaosbilliardsperiodic Lorentz gasergodic theorydiffusion coefficientslong-time tailsvelocity autocorrelation functions

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (4)

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 ⋮ New horizons in multidimensional diffusion: The Lorentz gas and the Riemann hypothesis

Cites Work

• Some remarks on the filling in problem for degenerations
• Critical behaviour and intermittency in Sinai's billiard
• Behavior of the velocity autocorrelation function for the periodic Lorentz gas
• Statistical properties of Lorentz gas with periodic configuration of scatterers
• Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
• Billiards and Bernoulli schemes
• Statistical properties of the periodic Lorentz gas. Multidimensional case
• Billiards correlation functions
• Diffusion in a Periodic Lorentz Gas
• Dynamical systems with elastic reflections

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