On the mean free path for a periodic array of spherical obstacles.

DOI10.1007/BF02183388zbMath1042.82037OpenAlexW1988292604MaRDI QIDQ1593375

François Golse, H. Scott Dumas, Laurent Dumas

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02183388

zbMATH Keywords

Lorentz gascontinued fractionskinetic theorysmall divisorsmean free pathergodization rate

Mathematics Subject Classification ID

Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (5)

Filling times for linear flow on the torus with truncated Diophantine conditions: a brief review and new proof ⋮ A model of particles interacting with thermal traps ⋮ Regularity of viscosity solutions near KAM torus ⋮ Ergodization time for linear flows on tori via geometry of numbers ⋮ Remarks on the notion of mean free path for a periodic array of spherical obstacles

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Boltzmann equation for the Lorentz gas
• Global validity of the Boltzmann equation for a two-dimensional rare gas in vacuum
• Global validity of the Boltzmann equation for a three-dimensional rare gas in vacuum
• Diophantine approximation
• Markov partitions for dispersed billiards
• Ergodization rates for linear flow on the torus
• Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
• The Lorentz process converges to a random flight process
• Markov partitions for two-dimensional hyperbolic billiards

This page was built for publication: On the mean free path for a periodic array of spherical obstacles.