Diffusion in the Lorentz gas

Carl P. Dettmann

doi:10.1088/0253-6102/62/4/10

Diffusion in the Lorentz gas

Carl P. Dettmann^*

^*Corresponding author for this work

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

The Lorentz gas, a point particle making mirror-like reflections from an extended collection of scatterers, has been a useful model of deterministic diffusion and related statistical properties for over a century. This survey summarises recent results, including periodic and aperiodic models, finite and infinite horizon, external fields, smooth or polygonal obstacles, and in the Boltzmann - Grad limit. New results are given for several moving particles and for obstacles with flat points. Finally, a variety of applications are presented.

Original language	English
Pages (from-to)	521-540
Number of pages	20
Journal	Communications in Theoretical Physics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1088/0253-6102/62/4/10
Publication status	Published - 1 Oct 2014

Keywords

nlin.CD
cond-mat.stat-mech
math.DS

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10.1088/0253-6102/62/4/10

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This is the author accepted manuscript (AAM). The final published version (version of record) is available online via IOP at http://iopscience.iop.org/article/10.1088/0253-6102/62/4/10/meta. Please refer to any applicable terms of use of the publisher.
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Diffusion in the Lorentz gas

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Professor Carl P Dettmann

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Diffusion in the Lorentz gas

Abstract

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Professor Carl P Dettmann

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