LONG TRANSMISSION TIMES FOR TRANSPORT THROUGH A WEAKLY SCATTERING SLAB

We consider the theoretical problem of transmission of a pulse of particles through a transversely infinite slab of thickness L, in which they travel at speed v and are isotropically and elastically scattered with mean-free path length-lambda. In the case lambda/L = infinity there is no scattering, the pulse is transmitted intact, and. the transmission-time moments are simply <t(trans)n> = (L/upsilon)n. However, we find that in the weak-scattering limit lambda/L --> infinity, the transmission-time probability density develops a long tail resulting in anomalous scaling of the moments. The relevance of these results to recent experiments is discussed.