Random walks on random lattices with traps is treated by continuous time random walk (CTRW) method. The equation of walker's survival probability P(t) is obtained in the general case that the walker can decay spontaneously and is able to escape from the well after trapping. In the case of deep traps, the series solution for all time and arbitrary trap concentration with the waiting time distrubution density ψ(t) = ααt-(1-α) exp(-ata), 0 <α≤ 1, is given. Recognizing the experimental facts and Ngai's low energy excitations theory, we point out the importance of dynamic coupling. To describe this dynamic coupling, a theory of CTRW on real random lattices is proposed. In this approach the physical picture is completely different from the curresnt CTRW theory.
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