Non-Markovianity of the Boltzmann-Grad limit of a system of random obstacles in a given force field.

DOI10.1016/j.bulsci.2003.09.003zbMath1048.82004OpenAlexW1974084810MaRDI QIDQ1428217

Laurent Desvillettes, Valeria Ricci

Publication date: 14 March 2004

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2003.09.003

zbMATH Keywords

Lorentz gasLinear Boltzmann equationNon-Markovian

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items (6)

Derivation of the linear Landau equation and linear Boltzmann equation from the Lorentz model with magnetic field ⋮ Two-dimensional Lorentz process for magnetotransport: Boltzmann-Grad limit ⋮ Kinetic Theory for the Low-Density Lorentz Gas ⋮ The free path in a high velocity random flight process associated to a Lorentz gas in an external field ⋮ On the periodic Lorentz gas and the Lorentz kinetic equation ⋮ Recent Results on the Periodic Lorentz Gas

Cites Work

• On the Boltzmann equation for the Lorentz gas
• The Lorentz process converges to a random flight process
• On the distribution of free path lengths for the periodic Lorentz gas
• From the Liouville equation to the generalized Boltzmann equation for magnetotransport in the 2D Lorentz model

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