Penetration of Hot Electrons Through a Cold Disordered Wire

We study a penetration of an electron with high energy E >> T through strongly disordered wire of length L >> a (a being the localization length). Such an electron can loose, but not gain the energy, when hopping from one localized state to another. We have found a distribution function for the transmission coefficient J. The typical J remains exponentially small in L/a, but with the decrement, reduced compared to the case of direct elastic tunneling: (lnJ) over bar approximate to 0.237 x 2L/a. The distribution function has a strong tail in the domain of anomalously high J; the average (J) over bar infinity (a/L)(2) is controlled by rare configurations of disorder, corresponding to this tail.