Variational principle in kinetic theory: Repeated-ring approximation for the Lorentz gas

A. J. Masters; T. Keyes

doi:10.1103/PhysRevA.25.1010

Variational principle in kinetic theory: Repeated-ring approximation for the Lorentz gas

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Abstract

The repeated-ring kinetic equations are accurately solved for the velocity-correlation function of a tagged particle in a three-dimensional Lorentz gas. Analytical expressions for the long-time behavior and for both the low- and high-density limits of the diffusion constant, calculated within the repeated-ring approximation, are also presented. © 1982 The American Physical Society.

Original language	English
Pages (from-to)	1010-1022
Number of pages	12
Journal	Physical Review A
Volume	25
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.25.1010
Publication status	Published - 1982

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title = "Variational principle in kinetic theory: Repeated-ring approximation for the Lorentz gas",

abstract = "The repeated-ring kinetic equations are accurately solved for the velocity-correlation function of a tagged particle in a three-dimensional Lorentz gas. Analytical expressions for the long-time behavior and for both the low- and high-density limits of the diffusion constant, calculated within the repeated-ring approximation, are also presented. {\textcopyright} 1982 The American Physical Society.",

author = "Masters, {A. J.} and T. Keyes",

year = "1982",

doi = "10.1103/PhysRevA.25.1010",

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journal = "Physical Review A",

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AU - Keyes, T.

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AB - The repeated-ring kinetic equations are accurately solved for the velocity-correlation function of a tagged particle in a three-dimensional Lorentz gas. Analytical expressions for the long-time behavior and for both the low- and high-density limits of the diffusion constant, calculated within the repeated-ring approximation, are also presented. © 1982 The American Physical Society.

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DO - 10.1103/PhysRevA.25.1010

M3 - Article

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VL - 25

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EP - 1022

JO - Physical Review A

JF - Physical Review A

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ER -

Variational principle in kinetic theory: Repeated-ring approximation for the Lorentz gas

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