  The kinetic Monte Carlo method is used to model the dynamic properties of
proton diffusion in anhydrous proton conductors. The results have been
discussed with reference to a two-step process called the Grotthuss mechanism.
There is a widespread belief that this mechanism is responsible for fast proton
mobility. We showed in detail that the relative frequency of reorientation and
diffusion processes is crucial for the conductivity. Moreover, the current
dependence on proton concentration has been analyzed. In order to test our
microscopic model the proton transport in polymer electrolyte membranes based
on benzimidazole C7H6N2 molecules is studied.
