Self-consistent kinetic theory for the Lorentz gas
- 1 September 1983
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 28 (3) , 1762-1773
- https://doi.org/10.1103/physreva.28.1762
Abstract
A new kinetic theory for a particle moving in a random array of static spherical scatterers 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 self-consistent versions and, in particular, the equivalence of a recent mode-coupling theory and self-consistent ring theory is established. Vertex corrections, as represented by a new class of collision sequences, are shown to be essential for the Lorentz gas. New results for the Burnett coefficient are also presented.Keywords
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