The Boltzmann-Grad limit of the periodic Lorentz gas
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Publication:640785
DOI10.4007/ANNALS.2011.174.1.7zbMATH Open1237.37014arXiv0801.0612OpenAlexW2962964462MaRDI QIDQ640785
Author name not available (Why is that?)
Publication date: 20 October 2011
Published in: (Search for Journal in Brave)
Abstract: We study the dynamics of a point particle in a periodic array of spherical scatterers, and construct a stochastic process that governs the time evolution for random initial data in the limit of low scatterer density (Boltzmann-Grad limit). A generic path of the limiting process is a piecewise linear curve whose consecutive segments are generated by a Markov process with memory two.
Full work available at URL: https://arxiv.org/abs/0801.0612
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