not Available.

K(o) = -nF j3Dwhere K is a constant, F is the Faradaic constant, D is the hydrogen diffusion coefficient in the bulk of metal alloy, w is the circuilar frequecy. Based on our model, the experimental results in the above stated paper can be interpreted perfectly.W. Zhang and S. Srinivasan 2 : The authors wish to thank Mr. Yongjun Leng for finding a small error in Eq. 21. However, this error does not change the assumed physical model of hydriding processes nor the mathematical treatment prior to Eq. 2 n the paper. Further, since pseudocapacitance of surface processes in Eq. 25 is very large, the net result is that by simplifying the total impedance expression as deduced by Mr. Yongjun Leng, the same results, as in our analysis, are obtained. The authors still agree that Mr. Yongjun Leng's analysis is more accurate.

No abstract

No abstract

We develop a theoretical model for power law tailing behavior of transport in fractured rock based on the relative dominance of the decay rate of the advective travel time distribution, modeled using a Pareto distribution (with tail decaying as ∼ time −(1+ ) ), versus matrix diffusion, modeled using a Lévy distribution. The theory predicts that when the advective travel time distribution decays sufficiently slowly ( < 1), the late-time decay rate of the breakthrough curve is −(1 + ∕2) rather than the classical −3/2. However, if > 1, the −3/2 decay rate is recovered. For weak matrix diffusion or short advective first breakthrough times, we identify an early-time regime where the breakthrough curve follows the Pareto distribution, before transitioning to the late-time decay rate. The theoretical predictions are validated against particle tracking simulations in the three-dimensional discrete fracture network simulator dfnWorks, where matrix diffusion is incorporated using a time domain random walk.