Crossover behavior in disordered cords under gravitational force

In this work I prove that, under high gravitational acceleration, nonexponential behavior (strong localization) exists in a cord with N random masses and free boundary conditions. This is due to the fact that the product law for the transfer matrix becomes additive, and not multiplicative, in the random parameter associated with each matrix. This delocalization regime is also valid in the weak-frequency approximation.