The continued fraction representation of the evolution matrix for the Lorentz gas with planar symmetry in k-space
type: Item
instance of: scholarly article
title: The continued fraction representation of the evolution matrix for the Lorentz gas with planar symmetry in k-space
zbMATH Open document ID: 0669.42005
DOI: 10.1016/0378-4371(87)90248-2
author: T. Paszkiewicz
published in: Physica A
publication date: 1987-01-01T00:00:00Z
review text: The solution of the Fourier-Laplace transform of the Boltzmann equation for the Lorentz gas in infinite three-dimensional space and in absence of external forces is studied. Assuming that the Fourier transform of the initial distribution function depends on the wave vector k, the modulus of the velocity v and the cosinus of the angle between them, the Fourier- Laplace transform of the distribution is expanded into a series of Legendre functions. The coefficients of this series are calculated using the Mori-Zwanzig projection method. An approximate method of calculating these coefficients is discussed.
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 40A15
zbMATH DE Number: 4096116
zbMATH Keywords: Fourier-Laplace transform
zbMATH Keywords: Boltzmann equation
zbMATH Keywords: Lorentz gas
zbMATH Keywords: Mori-Zwanzig projection method
MaRDI profile type: Publication
full work available at URL: 0378-4371(87)90248-2
OpenAlex ID: W1982530403
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description: scientific article; zbMATH DE number 4096116