Transmission and Scattering of a Lorentz Gas on a Slab

Details Transmission and Scattering of a Lorentz Gas on a Slab Transmission and Scattering of a Lorentz Gas on a Slab

1998-04-27

arxiv.org/abs/cond-mat/9804289v1

Physics

Condensed Matter

Statistical Mechanics

Postscript file, 8 pages including 9 figures

Scientific paper

10.1103/PhysRevE.58.4254

We perform numerical scattering experiments on a Lorentz array of disks centered on a triangular lattice with L columns and study its transmission and reflection properties. In the finite horizon case, the motion of the particles may be modeled as simple one dimensional random walks with absorbing walls for which the scaling of the transmission and reflection coefficients are known, and agree with those found numerically. In the infinite horizon case the analogy with a simple diffusive process is no longer valid. In this case we compare our results with those expected for a one dimensional Levy walk, again with absorbing walls, for which logarithmic corrections to the scaling relations appear. The scaling with L and the symmetry properties of the forward and the backward are also studied, and some of their salient features are discussed.

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