Abstract
Electron scavenging in amorphous solids is analyzed by using diffusion controlled reaction model. In terms of stochastic process theory, the process is an age-dependent branching process which is described by linear death process of generalized master equation. The variation of number of trapped electron with time, N(t), is calculated with Ngai’s fractional exponential waiting time density for the time between hops. Quantitative comparison with Miller’s pulse radiolysis experiments on frozen 6M NaOH is made and the agreement is fairly well. The rigour and simplicity in mathematics of the generalized master equation method developed here are in sharp contrast to the master equation method in which quantitative calculation can hardly be done.
Published Version
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