ISSN:
1572-9613
Keywords:
Kinetic theory
;
random media
;
Lorentz model
;
self-consistent repeated ring theory
;
long-time tails
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract The results of variational solutions of the repeated ring and self-consistent repeated ring equations for the two-and three-dimensional overlapping Lorentz gas (LG), as formulated in a previous report, are presented. Calculations of the full velocity correlation function (VCF) for the 2D LG, including long-time tails, are compared with those from molecular dynamics. The trial functions chosen lead to predictions for the long-time tails that improve as the density of the scatterers is increased. At a value of 0.24 forρ* (=ρσ 2, whereρ is the density and σ the radius of scatterers), the self-consistent amplitudes of the long-time tail are within 40% of the molecular dynamics. A limited number of 3D results for the short-time behavior of the repeated ring VCF are presented. The 3D solutions agree with the molecular dynamics to within 10%.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01015331
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