TRANSMISSION AND SCATTERING OF A LORENTZ GAS ON A SLAB

We perform numerical scattering experiments on a Lorentz array of disk s centered on a triangular lattice with L columns, and study its trans mission and reflection properties. In the finite horizon case, the mot ion of the particles may be modeled as simple one-dimensional random w alks with absorbing walls for which the scaling of the transmission an d reflection coefficients are known, and agree with those found numeri cally. In the infinite horizon case the analogy with a simple diffusiv e process is no longer valid. In this case we compare our results to t hose expected for a one-dimensional Levy walk, again with absorbing wa lls, for which logarithmic corrections to the scaling relations appear . These corrections an consistent with the numerical results. The scal ing with L and the symmetry properties of the forward sigma(T)(phi) an d backward sigma(R)(phi) differential cross sections are also studied, and some of their salient features are discussed. [S1063-651X(98)0531 0-0].