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A self-consistent kinetic theory for the Lorentz-gas

โœ Scribed by E. Leutheusser

Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
82 KB
Volume
118
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

A new kinetic theory for a particle moving in a random array of static spherical scatters is derived. By decoupling a higher order dynamical correlation function a kinetic equation is obtained comprising known approximations like ring, repeated ring theory and their selfconsistent versions; in particular the equivalence of a recent mode-coupling theory and selfconsistent ring theory is established. Vortex corrections as represented by a new class of collision sequences are shown to be essential for the Lorentz-gas.

๐Ÿ“œ SIMILAR VOLUMES

Kinetic Theory of the Lorentz Gas
Kinetic Theory of the Lorentz Gas
โœ Qun Chen; Ira B. Bernstein ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 276 KB

where p = e, v / v , has been solved numerically. Analytic approximations have been developed for f( z, v,O) in the limits of mean-free-path long and short compared with the system size. These have been shown to be good, and to provide a useful starting point for the numerical procedure employed, wh