Fluctuations of the spectral relaxation in dispersive transport over traps

Abstract

Based on of the self-consistent cluster approximation of an effective medium for random walk on a lattice with random traps, the kinetics of the self-averaging of the spectral relaxation of the partial populations is analyzed. It is demonstrated that the decrease of the fluctuations in the partial populations in the dispersive mode at long times occurs very slowly, according to a power law. With increasing degree of disorder (fraction of deep traps), a transition from self-averaging to non-self-averaging takes place in spaces of arbitrary dimension.