On the equivalence between multistate-trapping and continuous-time random walk models

Abstract

We compare two model descriptions of transport in a material with traps. We establish the equivalence between the n-state trapping model where equilibrium initial conditions are used, and the continuous-time random walk description where a distinct first-waiting-time distribution is introduced. Tunaley's result on the frequency independence of the ac conductivity is corroborated by this equivalence.