Abstract
For pt. I see abstr. A32938 of 1974. The exact AC diffusivity formula derived in I reduces to D(0)=fd2/2 in the DC limit where f is the mean hopping frequency and d2 is the mean square x displacement per hop in an infinite chain of hops. The mean hopping frequency is equal to a simple average of the total hopping rate out of each site. The predicted behaviour of f and d2 contrasts strongly with that found in recent approximations to the stochastic formula in the DC limit because the approximations employed are equivalent to re-randomizing the site distribution after every hop.
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